Two-particle transfer and pairing correlations (for both T-0 and T=1): interplay of reaction mechanism and structure properties

Size: px
Start display at page:

Download "Two-particle transfer and pairing correlations (for both T-0 and T=1): interplay of reaction mechanism and structure properties"

Transcription

1 Two-particle transfer and pairing correlations (for both T-0 and T=1): interplay of reaction mechanism and structure properties Andrea Vitturi and Jose Antonio Lay (Padova, Catania, Sevilla) ECT*, September 2016

2 Basic point to discuss: how reactions involving pair of nucleons (e.g. two-particle transfer, two-particle breakup, two-particle knock-out) can provide quantitative signature of collectivity in T=0 and T=1 pairing modes This dynamical source of information should be complementary to the one associated to static properties (as correlation energies, for example)

3 How to use dynamics to study pairing correlations? The main road is clearly provided by the study of those processes where a pair of particles in involved, e.g. transferred from/to another nucleus (two-particle transfer) or ejected onto the continuum (two-particle break-up or two-particle knock-out). Clearly the probabilities for such processes must be influenced by the particle-particle correlations, but the quantitative connection is not obvious.

4 Unfortunately, the situation is different, for example, from low-energy one-step Coulomb excitation, where the excitation probability is directly proportional to the B(Eλ) values. Here the reaction mechanism is much more complicated and the possibility of extracting spectroscopic information on the pairing field is not obvious. The situation is actually more complicated even with respect to other processes (as inelastic nuclear excitation) that may need to be treated microscopically, but where the reaction mechanism is somehow well established.

5 It is often assumed that the cross section for two-particle transfer just scale with T 0, the square of the matrix element of the pair creation (or removal) operator P + = j [a + ja + j] 00 For this reason the easiest way to define and measure the collectivity of pairing modes is to compare with singleparticle pair transition densities and matrix elements to define some pairing single-particle units and therefore pairing enhancement factors. Obs: We discuss for the moment monopole pairing modes, i.e. 0+states

6 Typical pairing response excited states A gs A+2 enhancement g.s. in 210 Pb Excited 0 + states Giant Pairing Vibration in 210 Pb 10

7 Pair strength function 22 O (d3/2) 2 enhancement (f7/2) 2 Khan, Sandulescu,Van Giai, Grasso

8 But the two-particle transfer process in not sensitive to just the pair matrix element. We have to look at the radial dependence, which is relevant for the reaction mechanism associated with pair transfer processes.

9 Comparison with pure single-particle configurations pair transition density ρ ν P (r,r)=κν (rσ)=<0 c(rσ)c(rσ) ν> T=0 T=3 (1g9/2) 2 (1h11/2) 2 Lotti, Vitturi etal

10 18 O (2s1/2) 2 δρ (r,r) 0.8 (1d5/2) (2s1/2) 2 (1d5/2) 2 r (fm)

11 206 Pb (3p1/2) 2 (2f5/2) 2 Ψ(r 1,r 2 ) 2 as a function of r 2, for fixed r 1 Correlated ground state OBS: mixing of configurations with opposite parity position of particle 1

12 Lotti etal particle-particle spatial correlations Ψ(r 1,r 2 ) 2 as a function of r 2, for fixed r 1 Neutron addition mode: ground state of 210 Pb position of particle 1 (1g9/2) 2

13 r R δρ P (R,r) Catara etal, Pb R R R r (3p1/2) 2 (2f5/2) 2 Correlated g.s.

14 δρ P (R,r) R r Pillet, Sandulescu, Schuck

15 Interesting problem: how is changed the picture as we move closer or even beyond the drip lines? Example: the case of 6 He R r Oganessian, Zagrebaev, Vaagen, 1999

16 Other example: the case of 11 Li

17 A natural extension: alpha-clustering Catara, Insolia, Maglione, Vitturi (1984) Alpha-cluster probabilities in 232 Th, displayed in the intrinsic frame by projecting over an alpha particle wave function 4 particles in pure (time-reversed) Nilsson orbits Nilsson+BCS for both protons and neutrons OBS: 1. Alpha-probability distributed over the entire surface 2. Total alpha spectroscopic factor Sα increases orders of magnitude (although still a factor 10 smaller than experiment)

18 A possible phenomenological approach to define enhancement factors from transfer reactions The classical example: Sn+Sn (superfluid on superfluid) +1n -1n Von Oertzen, Bohlen etal +2n +3n +4n

19 A way to define a pairing enhancement factor, by plotting transfer probabilities not as function of the scattering angle, but as function of the distance of closest approach of the corresponding classical trajectory P 1 P 2 (P 1 ) 2 distance of closest approach

20 General problem: how separate the contribution of 0+ states? How to separate the contribution from the collective ground state?

21 Proton transfer

22 Another example : multinucleon transfers at Legnaro 40 Ca+ 208 Pb el+inel 1n 2n Neutron transfer channels (odd-even transfer effect?) 3n

23 Corradi etal, LNL -2n channel ( 42 Ca) enhancement factor

24 Q-value effect Aside from the precise description of the reaction mechanism (and therefore from the absolute values of the cross sections) one has to take into account Q-value effects. In fact, keeping fixed any other parameter, the probability for populating a definite final channel depends on the Q-value of the reaction. The dependence (in first approximation a gaussian distribution centered in the optimum Q-value) is very strong in the case of heavy-ion induced reactions, weaker in the case of light ions. The optimum Q-value depends on the angular momentum transfer and on the charge of the transferred particles. In the specific case of L=0 two-neutron transfer, the optimal Q-value is approximately zero. But the actual Q-value for two-particle transfer to the ground states may be different from zero..

25 Experimental evidence: one example 96 Zr+ 40 Ca Selecting final 42 Ca mass partition In this case the population of the collective ground state is hindered by the Q-value window. What information on pairing correlations? counts gs excited states Total kinetic energy loss (MeV)

26 As a result, the correlated states may be populated in a much weaker way than uncorrelated states Example: 96 Zr+ 40 Ca, leading to 42 Ca In this case is favored the excitation of an uncorrelated 0+ state at about 6 MeV Corradi, Pollarolo etal, LNL gs

27 Playing with different combinations of projectile/target (having different Q gg -value) one can favour different energy windows Example: Target 208 Pb Final 210 Pb (at bombarding energy E cm = 1.2 E barrier ) gs excited states

28 The pairing strength (as a function of the excitation energy) is therefore modulated by the Q-value cut-off to yield the final two-particle cross section RPA TDA sp Sofia, Vitturi

29 But the Q-value window can be used also with some profit. For example the occurrence of large positive Q-value for the ground state transition leads to optimal kinematics conditions for high-lying states. This is the region of the still hunted Giant Pairing Vibration (GPV) RPA TDA sp Obs: What about GPV for T=0 modes?

30 But let us move to two-particle transfer reactions and the associated reaction mechanism. In fact, if the qualitative behavior may be clear, the quantitative aspects of twoparticle transfer require a proper treatment of the reaction mechanism. Large number of different approaches, ranging from macroscopic to semi-microscopic and to fully microscopic. They all try to reduce the actual complexity of the problem, which is a four-body scattering (the two cores plus the two transferred particles), to more tractable frameworks.

31 To provide deep structure information, the approach must be microscopic. The fully microscopic approach is based on correlated sequential two-step process (each step transfers one particle) Microscopy: Pairing enhancement comes from the coherent interference of the different paths through the different intermediate states in (a-1) and (A+1) nuclei, due to the correlations in initial and final wave functions Basic idea: dominance of mean field, which provides the framework for defining the single-particle content of the correlated wave functions

32 Example 208 Pb( 16 O, 18 O) 206 Pb 2s1/2 3p1/ d5/2 16 O 17 O 18 O 208 Pb 0.8 (1d5/2) (2s1/2) 2

33 208 Pb( 16 O, 17,18 O) 207,206 Pb 1-particle transfer (d5/2) 2-particle transfer (correlated) σ T =3.90 mb 2-particle transfer (d5/2) 2 σ T =1.98 mb Obs: to get cross sections one needs optical potentials

34 The transfer probabilities with the involved orbital. In addition whether the final wave function only involves a pure orbital, or whether it is correlated 110 Sn(t,p) 112 Sn σ(mb/sr) correlated BCS wave function (g 7/2 ) 2 σ= µb (d 5/2 ) 2 σ= µb (d 3/2 ) 2 σ= µb (s 1/2 ) 2 σ= µb (h 11/2 ) 2 σ= µb BCS (1) σ=2.536 µb BCS (2) σ=3.482 µb BCS (3) σ=1.330 µb pure orbitals θ(deg) OBS: The shape of the angular distribution is the same, being associated with the L=0 transfer

35 Does the two-particle transfer cross in superfluid systems simply scale with the pairing gap value Δ? The two-particle transfer probability is enhanced by the pairing correlation but does NOT scale simply with the value of the pairing gap Δ. In fact, if we alter the sequence of single-particle levels, and change the value of the pairing strength G to obtain the same Δ, the cross section will be different, due to different interplay of the single-particle states BCS 1 BCS 2 BCS 3 i(mev) B i i (MeV) B i i (MeV) B i 0g 7/ d 5/ s 1/ h 11/ d 3/ σ (mb)

36 We consider the same case as before, i.e. the transfer of two neutrons from 110 Sn to 112 Sn (0+; gs) using the reactions (14C,12C) or (18O,16O) In addition to the information on the target, we need now to specify on which orbit the particle are transferred in the projectile In the (14C,12C) the two neutrons are assumed to be picked-up from the p1/2 shell. In the (18O,16O) from the pure d5/2 shell, or from a combination of (d5/2) 2 and (s1/2) 2

37 If we consider the same case as before, i.e. the transfer of two neutrons from 110 Sn to 112 Sn (0+; gs), but using different reactions, e.g. (14C,12C) or (18O,16O) the ranking of the cross sections associated to the different orbitals changes. projectile single-particle orbital in the target (t,p) ( 14 C, 12 C) ( 18 O, 16 O) (0p 1/2 ) 2 (1s 1/2 ) 2 (0p 3/2 ) 2 (0d 5/2 ) 2 (0d 5/2 ) 2 (1s 1/2 ) 2 Conf Sn (0g 7/2 ) E E E E E E E E-3 (1d 5/2 ) E E E E E E E E-2 (2s 1/2 ) E E E E E E E E-2 (1d 3/2 ) E E E E E E E E-2 (0h 11/2 ) E E E E E E E E-4 Conf A 2.54E E E E E E E E-2 BCS

38 Same results shown as histograms Total two-particle transfer cross section σ projectile BCS single-particle orbital in the target

39 Basic outcome of microscopic description of pair-transfer processes: strong dependence of the two-particle transfer probability on the microscopic structure of the colliding nuclei. Two-particle transfer can therefore to be used as a quantitative spectroscopic tool: in particular the population of the 0 + states will be an indication of the changes in the underlying structure (in addition to the usual E 2+ energies and B(E2) values) One example associated with possible breaking of shell closure: 68 Ni (N=40) J.A. Lay, L. Fortunato and A. Vitturi

40 The case of 68 Ni ( possible sub-shell at N=40 ) 65 Cu 68 Zn 69 Zn 70 Zn 71 Zn 72 Zn 73 Zn 66 Cu 67 Cu 68 Cu 69 Cu 70 Cu 71 Cu 72 Cu 40 Z = Ni 65 Ni 66 Ni 67 Ni 68 Ni 69 Ni 70 Ni 71 Ni 63 Co 64 Co 65 Co 66 Co 67 Co 68 Co 69 Co 70 Co 28 N = 40 g 9/2

41 The N=40 shell seems to survive for 68 Ni and disappear only for smaller Z.. Ni isotopes E(2+) Ni E(2+) (kev) Ni B(E2;2+ -> 0+) Cr 26 Fe 56 Ni 68 Ni Neutron Number S 2n ) 40 Neutron number

42 Weakening of the N=40 shell. 67 Co between spherical (?) 68 Ni and deformed 66 Fe OBS Quantum phase transitions in odd systems 67 Co Spherical? Ni Co Fe N= Deformed?

43 but what about two-particle transfer intensities? t ( 66 Ni, 68 Ni) p Jytte Elseviers (Leuven, ISOLDE) E ms E ns Ni 0 σ (0+ exc ) = 0.05 x σ (gs)

44 Assuming N-40 closure and neutron nature of excited 0+ state weak g9/ exc 40 g 9/2 p 1/2 p1/2 strong p1/2 gs 40 g 9/2 p 1/2 But microscopic calculation for (t,p) gives a ratio σexc/σgs a factor 3 too large. This may imply mixing of 0p-0h with 2p-2h components

45 Ground state = α# 40! g 9/2! + β# 40! g 9/2! p 1/2! p 1/2! Excited state = - β# 40! g 9/2! + α# 40! g 9/2! p 1/2! p 1/2! Ni(t,p) Ni 0.2 gs:!(p 1/2 ) 2 +#(g 9/2 ) exc : -#(p 1/2 )2 +!(g 9/2 ) pure configuration Mixing coefficient will be determined from fitting experimental value. But need for different experiment for discrimination (eg with heavy ions) " exc /" g.s. 0.1 possible values experiment ! 2 α 2

46 Let me try to apply the concepts so far described to the case of a pn transfer, e.g in a ( 3 He,p) reaction + 0 T=0 A X L=0 S=1 L=2 S=1 L=0 S=0 1 + T=0 24 Mg( 3 He,p) 26 Al 3 He@25 MeV at Grand Raiden (GR) high resolution spectrometer A+2 Y 0 + T=1 Calculations within 2nd order DWBA calculations (code FRESCO) Spectroscopic information from Shell Model calculations (USDB) Do we get information on collectivity of T=0 and T=1 modes from just σ(0+)/σ(1+)?

47 24 Mg( 3 He,p) 26 Al (1 + ) Check of coherence for L=0 transfer dσ/dω (mb/sr) L=0 full (d 5/2 ) 2 +(s 1/2 ) 2 +(d 3/2 ) 2 +( (d 5/2 ) 2 +(s 1/2 ) 2 +(d 3/2 ) 2 (d 5/2 ) 2 +(s 1/2 ) 2 (d 5/2 ) θ c.m. (deg)

48 Effect of contributions from L=0 and L=2 for 1+ states 24 Mg( 3 He,p) 26 Al Preliminary 1+ only jj jj simultaneous All configurations dσ/dω (mb/sr) θ c.o.m. (deg) ) Components with j 6= j increases (1 + ) reducing (0 + )/ (1 + ) ) Test of tensor interactions Small components (2s1/2)(1d3/2) and (1d5/2)(1d3/2) but they further increase the cross section

49 Comparing enhancement factors for 0+ and 1+ states 24 Mg( 3 He,p) 26 Al (0 + ) 24 Mg( 3 He,p) 26 Al (1 + ) Full wavefunction Pure (d 5/2 ) 2 Full wavefunction Pure (d 5/2 ) 2 dσ/dω (mb/sr) 10-1 dσ/dω (mb/sr) θ c.m. (deg) θ c.m. (deg)

50

Annax-I. Investigation of multi-nucleon transfer reactions in

Annax-I. Investigation of multi-nucleon transfer reactions in Annax-I Investigation of multi-nucleon transfer reactions in 40 Ca on 68,70 Zn at and near the Coulomb barrier. Abstract We will study the multi-nucleon transfer between two medium-heavy nuclei to find

More information

Di-neutron correlation in Borromean nuclei

Di-neutron correlation in Borromean nuclei Di-neutron correlation in Borromean nuclei K. Hagino (Tohoku University) H. Sagawa (University of Aizu) 11 Li, 6 He What is the spatial structure of valence neutrons? Compact? Or Extended? 1. Introduction:

More information

Theory and Calculation of Two-nucleon Transfer Reactions

Theory and Calculation of Two-nucleon Transfer Reactions Theory and Calculation of Two-nucleon Transfer Reactions Ian Thompson Nuclear Theory and Modeling, L-414, P. O. Box 808, Livermore, CA 94551! This work performed under the auspices of the U.S. Department

More information

14. Structure of Nuclei

14. Structure of Nuclei 14. Structure of Nuclei Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 14. Structure of Nuclei 1 In this section... Magic Numbers The Nuclear Shell Model Excited States Dr. Tina Potter 14.

More information

Evolution Of Shell Structure, Shapes & Collective Modes. Dario Vretenar

Evolution Of Shell Structure, Shapes & Collective Modes. Dario Vretenar Evolution Of Shell Structure, Shapes & Collective Modes Dario Vretenar vretenar@phy.hr 1. Evolution of shell structure with N and Z A. Modification of the effective single-nucleon potential Relativistic

More information

Two neutron transfer in Sn isotopes

Two neutron transfer in Sn isotopes Kyoto, October 24th, 2011 slide 1/21 Two neutron transfer in Sn isotopes Grégory Potel Aguilar (Sevilla) Andrea Idini (Milano) Francisco Barranco Paulano (Sevilla) Enrico Vigezzi (Milano) Francesco Marini

More information

c E If photon Mass particle 8-1

c E If photon Mass particle 8-1 Nuclear Force, Structure and Models Readings: Nuclear and Radiochemistry: Chapter 10 (Nuclear Models) Modern Nuclear Chemistry: Chapter 5 (Nuclear Forces) and Chapter 6 (Nuclear Structure) Characterization

More information

Received 16 June 2015; accepted 30 July 2015

Received 16 June 2015; accepted 30 July 2015 RESEARCH Revista Mexicana de Física 61 (2015) 414 420 NOVEMBER-DECEMBER 2015 henomenological and microscopic model analysis of elastic scattering reactions of 18 O by 24 Mg, 28 Si, 58 Ni, 64 Zn, 90 Zr,

More information

SOME ASPECTS OF TRANSFER REACTIONS IN LIGHT AND HEAVY ION COLLISIONS

SOME ASPECTS OF TRANSFER REACTIONS IN LIGHT AND HEAVY ION COLLISIONS Vol. 44 (2013) ACTA PHYSICA POLONICA B No 3 SOME ASPECTS OF TRANSFER REACTIONS IN LIGHT AND HEAVY ION COLLISIONS Giovanni Pollarolo Dipartimento di Fisica, Università di Torino and INFN, Sez. di Torino

More information

New Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen

New Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen New Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen I. General introduction to the atomic nucleus Charge density, shell gaps, shell occupancies, Nuclear forces, empirical monopoles, additivity,

More information

Physic 492 Lecture 16

Physic 492 Lecture 16 Physic 492 Lecture 16 Main points of last lecture: Angular momentum dependence. Structure dependence. Nuclear reactions Q-values Kinematics for two body reactions. Main points of today s lecture: Measured

More information

RFSS: Lecture 8 Nuclear Force, Structure and Models Part 1 Readings: Nuclear Force Nuclear and Radiochemistry:

RFSS: Lecture 8 Nuclear Force, Structure and Models Part 1 Readings: Nuclear Force Nuclear and Radiochemistry: RFSS: Lecture 8 Nuclear Force, Structure and Models Part 1 Readings: Nuclear and Radiochemistry: Chapter 10 (Nuclear Models) Modern Nuclear Chemistry: Chapter 5 (Nuclear Forces) and Chapter 6 (Nuclear

More information

Alpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University

Alpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University Alpha inelastic scattering and cluster structures in 24 Mg Takahiro KAWABATA Department of Physics, Kyoto University Introduction Contents Alpha cluster structure in light nuclei. Alpha condensed states.

More information

Sub-barrier fusion enhancement due to neutron transfer

Sub-barrier fusion enhancement due to neutron transfer Sub-barrier fusion enhancement due to neutron transfer V. I. Zagrebaev Flerov Laboratory of Nuclear Reaction, JINR, Dubna, Moscow Region, Russia Received 6 March 2003; published 25 June 2003 From the analysis

More information

Asymmetry dependence of Gogny-based optical potential

Asymmetry dependence of Gogny-based optical potential Asymmetry dependence of Gogny-based optical potential G. Blanchon, R. Bernard, M. Dupuis, H. F. Arellano CEA,DAM,DIF F-9297 Arpajon, France March 3-6 27, INT, Seattle, USA / 32 Microscopic ingredients

More information

2 Give the compound nucleus resulting from 6-MeV protons bombarding a target of. my notes in the part 3 reading room or on the WEB.

2 Give the compound nucleus resulting from 6-MeV protons bombarding a target of. my notes in the part 3 reading room or on the WEB. Lecture 15 Krane Enge Cohen Williams Reaction theories compound nucleus 11.10 13.7 13.1-3 direct reactions 11.11 13.11/12 ch 14 Admixed Wave functions residual interaction 5.1-4 Admixed Wave functions

More information

The 2010 US National Nuclear Physics Summer School and the TRIUMF Summer Institute, NNPSS-TSI June 21 July 02, 2010, Vancouver, BC, Canada

The 2010 US National Nuclear Physics Summer School and the TRIUMF Summer Institute, NNPSS-TSI June 21 July 02, 2010, Vancouver, BC, Canada TU DARMSTADT The 2010 US National Nuclear Physics Summer School and the TRIUMF Summer Institute, NNPSS-TSI June 21 July 02, 2010, Vancouver, BC, Canada Achim Richter ECT* Trento/Italy and TU Darmstadt/Germany

More information

Lecture 4: Nuclear Energy Generation

Lecture 4: Nuclear Energy Generation Lecture 4: Nuclear Energy Generation Literature: Prialnik chapter 4.1 & 4.2!" 1 a) Some properties of atomic nuclei Let: Z = atomic number = # of protons in nucleus A = atomic mass number = # of nucleons

More information

Extracting spectroscopic information from ( 18 O, 16 O) two-neutron transfer reactions. Manuela Cavallaro INFN -LNS (Italy)

Extracting spectroscopic information from ( 18 O, 16 O) two-neutron transfer reactions. Manuela Cavallaro INFN -LNS (Italy) Extracting spectroscopic information from ( 18 O, 16 O) two-neutron transfer reactions Manuela Cavallaro INFN -LNS (Italy) Direct transfer reactions Select specific degrees of freedom in the complex many-body

More information

Linking nuclear reactions and nuclear structure to on the way to the drip lines

Linking nuclear reactions and nuclear structure to on the way to the drip lines Linking nuclear reactions and nuclear structure to on the way to the drip lines DREB18 6/5/2018 Motivation Green s functions/propagator method Wim Dickhoff Bob Charity Lee Sobotka Hossein Mahzoon (Ph.D.2015)

More information

Intro to Nuclear and Particle Physics (5110)

Intro to Nuclear and Particle Physics (5110) Intro to Nuclear and Particle Physics (5110) March 13, 009 Nuclear Shell Model continued 3/13/009 1 Atomic Physics Nuclear Physics V = V r f r L r S r Tot Spin-Orbit Interaction ( ) ( ) Spin of e magnetic

More information

Stability of heavy elements against alpha and cluster radioactivity

Stability of heavy elements against alpha and cluster radioactivity CHAPTER III Stability of heavy elements against alpha and cluster radioactivity The stability of heavy and super heavy elements via alpha and cluster decay for the isotopes in the heavy region is discussed

More information

Towards a microscopic theory for low-energy heavy-ion reactions

Towards a microscopic theory for low-energy heavy-ion reactions Towards a microscopic theory for low-energy heavy-ion reactions Role of internal degrees of freedom in low-energy nuclear reactions Kouichi Hagino (Tohoku University) 1. Introduction: Environmental Degrees

More information

nuclear states nuclear stability

nuclear states nuclear stability nuclear states 1 nuclear stability 2 1 nuclear chart 3 nuclear reactions Important concepts: projectile (A) target (B) residual nuclei (C+D) q-value of a reaction Notations for the reaction B(A,C)D A+B

More information

RFSS: Lecture 2 Nuclear Properties

RFSS: Lecture 2 Nuclear Properties RFSS: Lecture 2 Nuclear Properties Readings: Modern Nuclear Chemistry: Chapter 2 Nuclear Properties Nuclear and Radiochemistry: Chapter 1 Introduction, Chapter 2 Atomic Nuclei Nuclear properties Masses

More information

(Multi-)nucleon transfer in the reactions 16 O, 3 32 S Pb

(Multi-)nucleon transfer in the reactions 16 O, 3 32 S Pb Journal of Physics: Conference Series Related content (Multi-)nucleon transfer in the reactions 16 O, 3 32 S + 208 Pb To cite this article: M Evers et al 2013 J. Phys.: Conf. Ser. 420 012129 - Quantum

More information

Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation August Introduction to Nuclear Physics - 1

Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation August Introduction to Nuclear Physics - 1 2358-19 Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation 6-17 August 2012 Introduction to Nuclear Physics - 1 P. Van Isacker GANIL, Grand Accelerateur National d'ions Lourds

More information

Fusion of light halo nuclei

Fusion of light halo nuclei Fusion of light halo nuclei Alinka Lépine-Szily Instituto de Física-Universidade de São Paulo, São Paulo, Brazil 1111118th 118th Intn Few-Body Problems in PhysIcs 8th International IUPAP Conference on

More information

Nuclear Shell Model. P461 - Nuclei II 1

Nuclear Shell Model. P461 - Nuclei II 1 Nuclear Shell Model Potential between nucleons can be studied by studying bound states (pn, ppn, pnn, ppnn) or by scattering cross sections: np -> np pp -> pp nd -> nd pd -> pd If had potential could solve

More information

Coexistence phenomena in neutron-rich A~100 nuclei within beyond-mean-field approach

Coexistence phenomena in neutron-rich A~100 nuclei within beyond-mean-field approach Coexistence phenomena in neutron-rich A~100 nuclei within beyond-mean-field approach A. PETROVICI Horia Hulubei National Institute for Physics and Nuclear Engineering, Bucharest, Romania Outline complex

More information

Nuclear and Coulomb excitations of low-lying dipole states in exotic and stable nuclei

Nuclear and Coulomb excitations of low-lying dipole states in exotic and stable nuclei Journal of Physics: Conference Series Nuclear and Coulomb excitations of low-lying dipole states in exotic and stable nuclei To cite this article: E G Lanza et al 2013 J. Phys.: Conf. Ser. 420 012147 View

More information

High-resolution Study of Gamow-Teller Transitions

High-resolution Study of Gamow-Teller Transitions High-resolution Study of Gamow-Teller Transitions Yoshitaka Fujita, Osaka Univ. @CNS-SS, 04.Aug.17-20 Nucleus : 3 active interactions out of 4 Strong, Weak, EM Comparison of Analogous Transitions High

More information

Nuclear and Coulomb excitations of the pygmy dipole resonances

Nuclear and Coulomb excitations of the pygmy dipole resonances SPES Legnaro, 5-7 ovember uclear and oulomb excitations of the pygmy dipole resonances M. V. Andrés a), F. tara b), D. Gambacurta b), A. Vitturi c), E. G. Lanza b) a)departamento de FAM, Universidad de

More information

13. Basic Nuclear Properties

13. Basic Nuclear Properties 13. Basic Nuclear Properties Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 13. Basic Nuclear Properties 1 In this section... Motivation for study The strong nuclear force Stable nuclei Binding

More information

Compound and heavy-ion reactions

Compound and heavy-ion reactions Compound and heavy-ion reactions Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 March 23, 2011 NUCS 342 (Lecture 24) March 23, 2011 1 / 32 Outline 1 Density of states in a

More information

Nuclear vibrations and rotations

Nuclear vibrations and rotations Nuclear vibrations and rotations Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 February 2, 2011 NUCS 342 (Lecture 9) February 2, 2011 1 / 29 Outline 1 Significance of collective

More information

Sunday Monday Thursday. Friday

Sunday Monday Thursday. Friday Nuclear Structure III experiment Sunday Monday Thursday Low-lying excited states Collectivity and the single-particle degrees of freedom Collectivity studied in Coulomb excitation Direct reactions to study

More information

Testing the shell closure at N=82 via multinucleon transfer reactions at energies around the Coulomb barrier

Testing the shell closure at N=82 via multinucleon transfer reactions at energies around the Coulomb barrier Testing the shell closure at N=82 via multinucleon transfer reactions at energies around the Coulomb barrier E. Vardaci 1, E. M. Kozulin 2, D. Quero 1, A. Di Nitto 3, A. Karpov 2, L. Calabretta 4, M. Ashaduzzaman

More information

Physics of neutron-rich nuclei

Physics of neutron-rich nuclei Physics of neutron-rich nuclei Nuclear Physics: developed for stable nuclei (until the mid 1980 s) saturation, radii, binding energy, magic numbers and independent particle. Physics of neutron-rich nuclei

More information

Towards a universal nuclear structure model. Xavier Roca-Maza Congresso del Dipartimento di Fisica Milano, June 28 29, 2017

Towards a universal nuclear structure model. Xavier Roca-Maza Congresso del Dipartimento di Fisica Milano, June 28 29, 2017 Towards a universal nuclear structure model Xavier Roca-Maza Congresso del Dipartimento di Fisica Milano, June 28 29, 217 1 Table of contents: Brief presentation of the group Motivation Model and selected

More information

Quasi-elastic reactions : an interplay of reaction dynamics and nuclear structure

Quasi-elastic reactions : an interplay of reaction dynamics and nuclear structure Journal of Physics: Conference Series Quasi-elastic reactions : an interplay of reaction dynamics and nuclear structure To cite this article: S Szilner et al 2011 J. Phys.: Conf. Ser. 282 012021 View the

More information

Direct reactions methodologies for use at fragmentation beam energies

Direct reactions methodologies for use at fragmentation beam energies 1 Direct reactions methodologies for use at fragmentation beam energies TU Munich, February 14 th 2008 Jeff Tostevin, Department of Physics Faculty of Engineering and Physical Sciences University of Surrey,

More information

The Nuclear Many-Body Problem

The Nuclear Many-Body Problem The Nuclear Many-Body Problem relativistic heavy ions vacuum electron scattering quarks gluons radioactive beams heavy few nuclei body quark-gluon soup QCD nucleon QCD few body systems many body systems

More information

Quasifission and dynamical extra-push in heavy and superheavy elements synthesis

Quasifission and dynamical extra-push in heavy and superheavy elements synthesis Humboldt Kolleg entitled "Interacting Structure and Reaction Dynamics in the Synthesis of the Heaviest Nuclei" Quasifission and dynamical extra-push in heavy and superheavy elements synthesis Lu Guo University

More information

CHEM 312: Lecture 9 Part 1 Nuclear Reactions

CHEM 312: Lecture 9 Part 1 Nuclear Reactions CHEM 312: Lecture 9 Part 1 Nuclear Reactions Readings: Modern Nuclear Chemistry, Chapter 10; Nuclear and Radiochemistry, Chapter 4 Notation Energetics of Nuclear Reactions Reaction Types and Mechanisms

More information

RPA CORRECTION TO THE OPTICAL POTENTIAL

RPA CORRECTION TO THE OPTICAL POTENTIAL RPA CORRECTION TO THE OPTICAL POTENTIAL Guillaume Blanchon, Marc Dupuis, Hugo Arellano and Nicole Vinh Mau. CEA, DAM, DIF CNR*11, 22/09/11, Prague. Parametrized potentials are very useful but only in the

More information

Low-lying dipole response in stable and unstable nuclei

Low-lying dipole response in stable and unstable nuclei Low-lying dipole response in stable and unstable nuclei Marco Brenna Xavier Roca-Maza, Giacomo Pozzi Kazuhito Mizuyama, Gianluca Colò and Pier Francesco Bortignon X. Roca-Maza, G. Pozzi, M.B., K. Mizuyama,

More information

Strong interaction in the nuclear medium: new trends Effective interactions and energy functionals: applications to nuclear systems I

Strong interaction in the nuclear medium: new trends Effective interactions and energy functionals: applications to nuclear systems I École Joliot-Curie 27 September - 3 October 2009 Lacanau - France Strong interaction in the nuclear medium: new trends Effective interactions and energy functionals: applications to nuclear systems I Marcella

More information

Microscopic cross sections : an utopia? S. Hilaire 1, A.J. Koning 2 & S. Goriely 3.

Microscopic cross sections : an utopia? S. Hilaire 1, A.J. Koning 2 & S. Goriely 3. Microscopic cross sections : an utopia? S. Hilaire 1, A.J. Koning 2 & S. Goriely 3 www.talys.eu 1 CEA,DAM,DIF - France 2 Nuclear Research and Consultancy Group, Petten, The Netherlands 3 Institut d Astronomie

More information

Alpha decay. Introduction to Nuclear Science. Simon Fraser University Spring NUCS 342 February 21, 2011

Alpha decay. Introduction to Nuclear Science. Simon Fraser University Spring NUCS 342 February 21, 2011 Alpha decay Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 February 21, 2011 NUCS 342 (Lecture 13) February 21, 2011 1 / 27 Outline 1 The Geiger-Nuttall law NUCS 342 (Lecture

More information

PHY492: Nuclear & Particle Physics. Lecture 6 Models of the Nucleus Liquid Drop, Fermi Gas, Shell

PHY492: Nuclear & Particle Physics. Lecture 6 Models of the Nucleus Liquid Drop, Fermi Gas, Shell PHY492: Nuclear & Particle Physics Lecture 6 Models of the Nucleus Liquid Drop, Fermi Gas, Shell Liquid drop model Five terms (+ means weaker binding) in a prediction of the B.E. r ~A 1/3, Binding is short

More information

Structure of Atomic Nuclei. Anthony W. Thomas

Structure of Atomic Nuclei. Anthony W. Thomas Structure of Atomic Nuclei Anthony W. Thomas JLab Users Meeting Jefferson Lab : June 2 nd 2015 The Issues What lies at the heart of nuclear structure? Start from a QCD-inspired model of hadron structure

More information

Recent experiments in inverse kinematics with the magnetic spectrometer PRISMA

Recent experiments in inverse kinematics with the magnetic spectrometer PRISMA Recent experiments in inverse kinematics with the magnetic spectrometer PRISMA E. Fioretto 1,L.Corradi 1, D. Montanari 2,S.Szilner 3, G. Pollarolo 4,F.Galtarossa 1,5,D.Ackermann 6, G. Montagnoli 7,F.Scarlassara

More information

arxiv: v1 [nucl-th] 26 May 2009

arxiv: v1 [nucl-th] 26 May 2009 Constraining the nuclear pairing gap with pairing vibrations E. Khan, 1 M. Grasso, 1 and J. Margueron 1 1 Institut de Physique Nucléaire, Université Paris-Sud, INP3-CNRS, F-916 Orsay Cedex, France Pairing

More information

Direct reactions at low energies: Part II Interactions and couplings

Direct reactions at low energies: Part II Interactions and couplings Direct reactions at low energies: Part II Interactions and couplings cole Juliot Curie 2012, Fréjus, France 30th September 5th October 2012 Jeff Tostevin, NSCL, MSU, ast Lansing, MI and Department of Physics,

More information

PHL424: Nuclear Shell Model. Indian Institute of Technology Ropar

PHL424: Nuclear Shell Model. Indian Institute of Technology Ropar PHL424: Nuclear Shell Model Themes and challenges in modern science Complexity out of simplicity Microscopic How the world, with all its apparent complexity and diversity can be constructed out of a few

More information

Observables predicted by HF theory

Observables predicted by HF theory Observables predicted by HF theory Total binding energy of the nucleus in its ground state separation energies for p / n (= BE differences) Ground state density distribution of protons and neutrons mean

More information

Single-particle and cluster excitations

Single-particle and cluster excitations Single-particle and cluster excitations TALENT Module Nb. 6 A. M. Moro Universidad de Sevilla 9/32 Inelastic scattering: cluster model Some nuclei permit a description in terms of two or more clusters:

More information

Nuclear Reactions - Experiment I

Nuclear Reactions - Experiment I Nuclear Reactions - Experiment I Calem R. Hoffman Physics Division, Argonne National Laboratory Exotic Beam Summer School 2014 ORNL Outline Overview of nuclear reactions Transfer Observed reactions and

More information

Subbarrier cold fusion reactions leading to superheavy elements( )

Subbarrier cold fusion reactions leading to superheavy elements( ) IL NUOVO CIMENTO VOL. 110 A, N. 9-10 Settembre-Ottobre 1997 Subbarrier cold fusion reactions leading to superheavy elements( ) A. G. POPEKO Flerov Laboratory of Nuclear Reactions, JINR - 141980 Dubna,

More information

Microscopic Fusion Dynamics Based on TDHF

Microscopic Fusion Dynamics Based on TDHF Dynamical Approach Microscopic Fusion Dynamics Based on TDHF FISSION FUSION Calculate PES as a function of nuclear shape Microscopic HF, HFB, RMF + constraints e.g. Q20, Q30, Q40 as H + lql0 Macroscopic-Microscopic

More information

arxiv:nucl-th/ v1 23 Mar 2004

arxiv:nucl-th/ v1 23 Mar 2004 arxiv:nucl-th/0403070v1 23 Mar 2004 A SEMICLASSICAL APPROACH TO FUSION REACTIONS M. S. HUSSEIN Instituto de Física, Universidade de São Paulo CP 66318, 05389-970, São Paulo SP, Brazil E-mail: hussein@fma.if.usp.br

More information

Microscopic (TDHF and DC-TDHF) study of heavy-ion fusion and capture reactions with neutron-rich nuclei

Microscopic (TDHF and DC-TDHF) study of heavy-ion fusion and capture reactions with neutron-rich nuclei Microscopic (TDHF and DC-TDHF) study of heavy-ion fusion and capture reactions with neutron-rich nuclei INT Program INT- 11-2d Interfaces between structure and reactions for rare isotopes and nuclear astrophysics

More information

PHYS3031 -Advanced Optics and Nuclear Physics, Paper 2. Session 2, 2014

PHYS3031 -Advanced Optics and Nuclear Physics, Paper 2. Session 2, 2014 THE UNIVERSITY OF NE\V SOUTH \ivales SCHOOL OF PHYSICS FINAL EXAMINATION PHYS3031 -Advanced Optics and Nuclear Physics, Paper 2 Session 2, 2014 1. Time allowed - 2 hours 2. Total number of questions -

More information

in covariant density functional theory.

in covariant density functional theory. Nuclear Particle ISTANBUL-06 Density vibrational Functional coupling Theory for Excited States. in covariant density functional theory. Beijing, Sept. 8, 2011 Beijing, May 9, 2011 Peter Peter Ring Ring

More information

The Shell Model: An Unified Description of the Structure of th

The Shell Model: An Unified Description of the Structure of th The Shell Model: An Unified Description of the Structure of the Nucleus (I) ALFREDO POVES Departamento de Física Teórica and IFT, UAM-CSIC Universidad Autónoma de Madrid (Spain) TSI2015 Triumf, July 2015

More information

Krane Enge Cohen Willaims NUCLEAR PROPERTIES 1 Binding energy and stability Semi-empirical mass formula Ch 4

Krane Enge Cohen Willaims NUCLEAR PROPERTIES 1 Binding energy and stability Semi-empirical mass formula Ch 4 Lecture 3 Krane Enge Cohen Willaims NUCLER PROPERTIES 1 Binding energy and stability Semi-empirical mass formula 3.3 4.6 7. Ch 4 Nuclear Spin 3.4 1.5 1.6 8.6 3 Magnetic dipole moment 3.5 1.7 1.6 8.7 4

More information

Nuclear Reactions Part III Grigory Rogachev

Nuclear Reactions Part III Grigory Rogachev THE FLORIDA STATE UNIVERSITY National Superconducting Cyclotron Facility Nuclear Reactions Part III Grigory Rogachev Outline Introduction. Resonances in atomic nuclei Role of resonances in era of exotic

More information

Microscopic nuclear form factor for the Pygmy Dipole Resonance

Microscopic nuclear form factor for the Pygmy Dipole Resonance Microscopic nuclear form factor for the Pygmy Dipole Resonance M.V. Andrés - Departamento de FAMN, Universidad de Sevilla, Spain F. Catara - INFN-Sezione di Catania, Italy A. Vitturi - Dipartimento di

More information

Particle excitations and rotational modes in nuclei with A 70-90

Particle excitations and rotational modes in nuclei with A 70-90 . 4 5 7 / 5-6 4 7 4 5 5 -, 4. 1 I J E J K J B H A H K @ = @ H A F D O I E Particle excitations and rotational modes in nuclei with A 7-9 In nuclei of the mass region with A 7-9 both protons and neutrons

More information

PAIRING COHERENCE LENGTH IN NUCLEI

PAIRING COHERENCE LENGTH IN NUCLEI NUCLEAR PHYSICS PAIRING COHERENCE LENGTH IN NUCLEI V.V. BARAN 1,2, D.S. DELION 1,3,4 1 Horia Hulubei National Institute of Physics and Nuclear Engineering, 407 Atomiştilor, POB MG-6, RO-077125, Bucharest-Măgurele,

More information

Structure of halo nuclei and transfer reactions

Structure of halo nuclei and transfer reactions Structure of halo nuclei and transfer reactions F. Barranco and G. Potel Sevilla University R.A. Broglia Milano University and INFN The Niels Bohr Institute, Copenhagen E. Vigezzi INFN Milano DCEN 2011,

More information

Introduc7on: heavy- ion poten7al model for sub- barrier fusion calcula7ons

Introduc7on: heavy- ion poten7al model for sub- barrier fusion calcula7ons Introduc7on: heavy- ion poten7al model for sub- barrier fusion calcula7ons 200 160 Phenomenological heavy-ion potential 60 Ni + 89 Y point Coulomb potential V (MeV) 120 80 40 total heavy-ion potential

More information

The IC electrons are mono-energetic. Their kinetic energy is equal to the energy of the transition minus the binding energy of the electron.

The IC electrons are mono-energetic. Their kinetic energy is equal to the energy of the transition minus the binding energy of the electron. 1 Lecture 3 Nuclear Decay modes, Nuclear Sizes, shapes, and the Liquid drop model Introduction to Decay modes (continued) Gamma Decay Electromagnetic radiation corresponding to transition of nucleus from

More information

DSAM lifetime measurements at ReA - from stable Sn to exotic Ca. Hiro IWASAKI (NSCL/MSU)

DSAM lifetime measurements at ReA - from stable Sn to exotic Ca. Hiro IWASAKI (NSCL/MSU) DSAM lifetime measurements at ReA - from stable to exotic Ca Hiro IWASAKI (NSCL/MSU) 8/20/2015 ReA3 upgrade workshop 1 Evolution of halo properties N=28 pf-shell N>40 gds-shell E0,E? Efimov? 62 Ca? N=8

More information

Silvia M. Lenzi University of Padova and INFN. Silvia Lenzi, 10th Int. Spring Seminar on Nuclear Physics, Vietri sul Mare, May 21-25, 2010

Silvia M. Lenzi University of Padova and INFN. Silvia Lenzi, 10th Int. Spring Seminar on Nuclear Physics, Vietri sul Mare, May 21-25, 2010 Structure of Neutron-Rich Nuclei near N=40 Silvia M. Lenzi University of Padova and INFN 10th International Spring Seminar on Nuclear Physics Vietri sul Mare, May 21-25, 2010 Collaboration Theory: F. Nowacki,

More information

Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model

Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model Jin Lei, Antonio M. Moro Departamento de FAMN, Universidad de Sevilla, Apartado 165,

More information

Functional Orsay

Functional Orsay Functional «Theories» @ Orsay Researchers: M. Grasso, E. Khan, J. Libert, J. Margueron, P. Schuck. Emeritus: N. Van Giai. Post-doc: D. Pena-Arteaga. PhD: J.-P. Ebran, A. Fantina, H. Liang. Advantages of

More information

PHL424: Nuclear fusion

PHL424: Nuclear fusion PHL424: Nuclear fusion Hot Fusion 5 10 15 5 10 8 projectiles on target compound nuclei 1 atom Hot fusion (1961 1974) successful up to element 106 (Seaborgium) Coulomb barrier V C between projectile and

More information

Giant Resonances Wavelets, Scales and Level Densities

Giant Resonances Wavelets, Scales and Level Densities Giant resonances Damping mechanisms, time and energy scales Fine structure Wavelets and characteristic scales Application: GQR TU DARMSTADT Many-body nuclear models and damping mechanisms Relevance of

More information

Nuclear Physics for Applications

Nuclear Physics for Applications Stanley C. Pruss'm Nuclear Physics for Applications A Model Approach BICENTENNIAL WILEY-VCH Verlag GmbH & Co. KGaA VII Table of Contents Preface XIII 1 Introduction 1 1.1 Low-Energy Nuclear Physics for

More information

Summary Int n ro r d o u d c u tion o Th T e h o e r o e r t e ical a fra r m a ew e o w r o k r Re R s e ul u ts Co C n o c n lus u ion o s n

Summary Int n ro r d o u d c u tion o Th T e h o e r o e r t e ical a fra r m a ew e o w r o k r Re R s e ul u ts Co C n o c n lus u ion o s n Isospin mixing and parity- violating electron scattering O. Moreno, P. Sarriguren, E. Moya de Guerra and J. M. Udías (IEM-CSIC Madrid and UCM Madrid) T. W. Donnelly (M.I.T.),.), I. Sick (Univ. Basel) Summary

More information

An Introduction to. Nuclear Physics. Yatramohan Jana. Alpha Science International Ltd. Oxford, U.K.

An Introduction to. Nuclear Physics. Yatramohan Jana. Alpha Science International Ltd. Oxford, U.K. An Introduction to Nuclear Physics Yatramohan Jana Alpha Science International Ltd. Oxford, U.K. Contents Preface Acknowledgement Part-1 Introduction vii ix Chapter-1 General Survey of Nuclear Properties

More information

Beyond mean-field study on collective vibrations and beta-decay

Beyond mean-field study on collective vibrations and beta-decay Advanced many-body and statistical methods in mesoscopic systems III September 4 th 8 th, 2017, Busteni, Romania Beyond mean-field study on collective vibrations and beta-decay Yifei Niu Collaborators:

More information

Nuclear Decays. Alpha Decay

Nuclear Decays. Alpha Decay Nuclear Decays The first evidence of radioactivity was a photographic plate, wrapped in black paper and placed under a piece of uranium salt by Henri Becquerel on February 26, 1896. Like many events in

More information

The many facets of breakup reactions with exotic beams

The many facets of breakup reactions with exotic beams Angela Bonaccorso The many facets of breakup reactions with exotic beams G Blanchon, DM Brink, F Carstoiu, A Garcia-Camacho, R Kumar, JMargueron, N Vinh Mau JAPAN-ITALY EFES Workshop on Correlations in

More information

The Proper)es of Nuclei. Nucleons

The Proper)es of Nuclei. Nucleons The Proper)es of Nuclei Z N Nucleons The nucleus is made of neutrons and protons. The nucleons have spin ½ and (individually) obey the Pauli exclusion principle. Protons p 938.3 MeV 2.79µ N Neutrons n

More information

Introduction to NUSHELLX and transitions

Introduction to NUSHELLX and transitions Introduction to NUSHELLX and transitions Angelo Signoracci CEA/Saclay Lecture 4, 14 May 213 Outline 1 Introduction 2 β decay 3 Electromagnetic transitions 4 Spectroscopic factors 5 Two-nucleon transfer/

More information

Chapter 6. Summary and Conclusions

Chapter 6. Summary and Conclusions Chapter 6 Summary and Conclusions The basic aim of the present thesis was to understand the interplay between single particle and collective degrees of freedom and underlying nuclear phenomenon in mass

More information

Auxiliary-field quantum Monte Carlo methods for nuclei and cold atoms

Auxiliary-field quantum Monte Carlo methods for nuclei and cold atoms Introduction Auxiliary-field quantum Monte Carlo methods for nuclei and cold atoms Yoram Alhassid (Yale University) Auxiliary-field Monte Carlo (AFMC) methods at finite temperature Sign problem and good-sign

More information

Nuclear Reactions. Shape, interaction, and excitation structures of nuclei. scattered particles. detector. solid angle. target. transmitted particles

Nuclear Reactions. Shape, interaction, and excitation structures of nuclei. scattered particles. detector. solid angle. target. transmitted particles Nuclear Reactions Shape, interaction, and excitation structures of nuclei scattering expt. scattered particles detector solid angle projectile target transmitted particles http://www.th.phys.titech.ac.jp/~muto/lectures/qmii11/qmii11_chap21.pdf

More information

Shape Coexistence and Band Termination in Doubly Magic Nucleus 40 Ca

Shape Coexistence and Band Termination in Doubly Magic Nucleus 40 Ca Commun. Theor. Phys. (Beijing, China) 43 (2005) pp. 509 514 c International Academic Publishers Vol. 43, No. 3, March 15, 2005 Shape Coexistence and Band Termination in Doubly Magic Nucleus 40 Ca DONG

More information

Probing shell evolution with large scale shell model calculations

Probing shell evolution with large scale shell model calculations Probing shell evolution with large scale shell model calculations Yutaka Utsuno Advanced Science Research Center, Japan Atomic Energy Agency Center for Nuclear Study, University of Tokyo Nuclear structure

More information

Some ideas and questions about the reaction of fission

Some ideas and questions about the reaction of fission 1 Some ideas and questions about the reaction of fission G. Mouze, S. Hachem and C. Ythier University of Nice, France R.A Ricci Laboratori Nazionali di Legnaro, Università di Padova, Padova,Italy SIF XCVII

More information

Chapter V: Interactions of neutrons with matter

Chapter V: Interactions of neutrons with matter Chapter V: Interactions of neutrons with matter 1 Content of the chapter Introduction Interaction processes Interaction cross sections Moderation and neutrons path For more details see «Physique des Réacteurs

More information

Probing Nuclear Structure of Medium and Heavy Unstable Nuclei and Processes with Helium Isotopes

Probing Nuclear Structure of Medium and Heavy Unstable Nuclei and Processes with Helium Isotopes Probing Nuclear Structure of Medium and Heavy Unstable Nuclei and Processes with Helium Isotopes M.K. Gaidarov Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784,

More information

Probing the evolution of shell structure with in-beam spectroscopy

Probing the evolution of shell structure with in-beam spectroscopy Probing the evolution of shell structure with in-beam spectroscopy Alexandra Gade National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy at Michigan State University, East

More information

Lecture 14 Krane Enge Cohen Williams Nuclear Reactions Ch 11 Ch 13 Ch /2 7.5 Reaction dynamics /4 Reaction cross sections 11.

Lecture 14 Krane Enge Cohen Williams Nuclear Reactions Ch 11 Ch 13 Ch /2 7.5 Reaction dynamics /4 Reaction cross sections 11. Lecture 14 Krane Enge Cohen Williams Nuclear Reactions Ch 11 Ch 13 Ch 13 7.1/2 7.5 Reaction dynamics 11.2 13.2 7.3/4 Reaction cross sections 11.4 2.10 Reaction theories compound nucleus 11.10 13.7 13.1-3

More information

Nuclear spectroscopy using direct reactions of RI beams

Nuclear spectroscopy using direct reactions of RI beams Nuclear spectroscopy using direct reactions of RI beams Introduction Spectroscopy of exotic nuclei (inv. kin.) Recent experimental results SHARAQ project in RIBF highly excited exotic states spectroscopy

More information

The Ring Branch. Nuclear Reactions at. Mass- and Lifetime Measurements. off Exotic Nuclei. Internal Targets. Electron and p. Experiments: Scattering

The Ring Branch. Nuclear Reactions at. Mass- and Lifetime Measurements. off Exotic Nuclei. Internal Targets. Electron and p. Experiments: Scattering stochastic cooling Exotic nuclei from Super-FRS Degrader for fast slowing down The Ring Branch TOF Detector MCPs E anode ion B CR Electron cooler NESR secondary electrons Experiments: Mass- and Lifetime

More information