Nuclear Spectroscopy I
|
|
- Agatha Dorthy Lynch
- 5 years ago
- Views:
Transcription
1 Nuclear Spectroscopy I Augusto O. Macchiavelli Nuclear Science Division Lawrence Berkeley National Laboratory Many thanks to Rod Clark, I.Y. Lee, and Dirk Weisshaar Work supported under contract number DE-AC0-05CH1131.
2 Atomic nuclei constitute unique many body systems of strongly interacting fermions. Their properties and structure, are of paramount importance to many aspects of physics. Many of the phenomena encountered in nuclei share common basic physics ingredients with other mesoscopic systems, thus making nuclear structure research relevant to other areas of contemporary research, for example in condensed matter and atomic physics. These are exciting times in the field of physics of nuclei: Existing and planned exotic beam facilities worldwide and new detector systems with increased sensitivity and resolving power not only will allow us to answer some important questions we have today, but most likely will open up a window to new and unexpected phenomena. New developments in theory and computer power are shaping a path to a predictive theory of nuclei and reactions.
3 Proton drip-line Mirror symmetry p and p tunneling Spin triplet superconductivity (T=0 pairing) Heavy Elements Shell stability Island of SHE rp-process Novae, X-ray bursts Proton number Z Unknown nuclei Neutron number N Neutron drip-line Halos, Skins Pairing at low density New shell structure New collective modes r-process Stars, Supernovae
4 Outline Short Introduction Shell model and residual interactions Pairing and deformation Nilsson model Rotational motion γ-ray Spectroscopy Interactions of gamma-rays with matter Scintillators Ge detectors Compton-suppression Resolving power
5 Shell structure Energy of First Excited State Z N
6 Nuclear shell model In principle if the form of the bare nucleon-nucleon interaction is known, then the properties and structures of a given nucleus can be calculated ab-initio: + 3-body In the shell model we make the following approximations to the problem: Mean Field Residual Interaction, V(1,)
7 The average potential U(r k ), experienced by all the k particles approximates the combined effects of all the two-body interactions. U(r k ) = W (r k,r l ) l We now consider the motion of the valence nucleons ( i.e. neutrons or protons that are in excess of the last, completely filled shell) in the mean field and the effect of a residual interaction, V(r 1, r ), only among them. H = H core + H H 0 + V (1,) Problem #1
8 The Mean Field ω 0 41 A 1/ 3 MeV spin orbit 0 A /3 MeV V(r) / r l term 0.1MeV
9 The residual interaction Derive from the nn interaction with in-medium effects Determine the residual interaction from experimental data. Use a schematic model with a simple spatial form that captures the main ingredients of the force.
10
11 V(1, ) Gδ(θ 1 )+V P (θ 1 ) Short-range (Pairing ) + long-range (Quadrupole) G 0MeV / A V 50MeV / A
12
13 Pair gaps from mass differences The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again. BM Vol 1 page 170
14 Problem #1 V(1, ) Gδ(θ 1 )+V P (θ 1 )
15 R 4 = E 4 E Major ingredient is V πν Federman, Pittel, Phys. Rev. C 0, (1979) Scaling of nuclei properties with N n N p I. Hamamoto, Nucl. Phys. 73 (1965) 5. R. Casten, Phys. Lett. 15B (1985) 145.
16 V(β) vibrations N rotations β 0 β
17 Nuclear Deforma:on Problem # Residual quadrupole interac:on between nucleons outside closed shells which gives addi:onal B.E. if nuclei deform. Experimental observa:on of large electric quadrupole moments and low- lying rota:onal bands suggests nuclei can be deformed. The general shape of a nucleus can be expressed as an expansion of spherical harmonics:
18 Nuclear Shapes λ= is the most important term and describes quadrupole deformations. Requiring the intrinsic axes of the nucleus to coincide with the principal axes of the co-ordinate system means that α 1 =α -1 =0, and α =α -, and the nuclear deformation can be described using only two parameters α 0, α. We define: a γ = β cos 0 a = 1 β sin γ β is a measure of the quadrupole deformation, while γ is a measure of the degree of triaxiality. By convention (the Lund convention): β>0, γ=0 o is axially symmetric prolate deformation β<0, γ=-60 o is axially symmetric oblate deformation
19 Nilsson Model Anisotropic harmonic oscillator poten:al ( ) ) ( Dl C z y x m r V + + = l.s ω ω ω If axial symmetry is presumed: 3 1 ω ω ω = An elonga:on parameter, ε, is introduced such that: = ε ω ω = = ε ω ω ω ) ( ω ω ω ε = Without spin- orbit and l term the Nilsson energy levels are given by: + = = N n N n n n E ε ω ω ω ω!!!! In addi:on to the principal oscillator number N and its component n 3 the Nilsson quantum numbers are Λ=l z, Σ=s z, Ω=Λ+Σ=j z and parity π=(- 1) l. Nilsson levels are labeled: [Nn 3 Λ]Ω π Ben Mottelson, Phys. Scr. T15 (006)
20 Nilsson Diagram The effects of deforma:on can be seen in the diagram. Each spherical level labeled by N(l j ) at ε=0, is split into (j+1)/ levels with Ω = ± 1, ± 3,..., ± j. The remaining degeneracy means that each level can accommodate two nucleons. Orbits with lower Ω are shi\ed downwards for ε>0 (prolate) and upwards for ε<0 (oblate). Problem #4 Deformed Mean Field
21 A note on deforma:ons
22 Nuclear Rota:on The nucleus rotates as a whole. (collective degrees of freedom) Lab I The nucleons move independently inside the deformed potential (intrinsic degrees of freedom) Intrinsic The nucleonic motion is much faster than the rotation (adiabatic approximation) E E in + E rot Ψ Ψ in (x ν )Ψ rot (ψ,θ,ϕ) Φ K Ψ rot (ψ,θ,ϕ) Ψ I + = 8π 1/ 1 (,, ) D I ψ θ φ MK Φ K E E in + I(I +1) K I +...
23 E(I, K) = E K + AI(I +1)+ B(I(I +1))
24 Rotational properties: Moment of Inertia E I I(I +1) < i' j I = 1 i > e(i) e(i') = I rigid i occ,i' I rigid = " 5 MR $ 1+ 1 # 3 ε +... % ' & Correlated two particle states have much less angular momentum than the corresponding free particle motion è quasi-particles Migdal Formula: # 1 I I rigid % $ 1+ x & ( ' 3/ x = Δ D D!( ω ω 3 )!ω 0 ε
25 E + 3! I Irrotational flow ε Problem #3
26 Pair gaps from rotational properties 1 A - 1/
27 Quenching of Pairing correlations? ~ I I rigid Δ D ~ I ( I rigid 3 ) Mottelson and Valatin
28 Coriolis effects Problem #5 E(MeV) jι/j Δ ~ (I j) I + Δ ~ I I I Stephens and Simon I
29 World view of rare isotope facili:es ARIEL From Brad Sherrill - MSU Black produc:on in target Magenta in- flight produc:on
30
31
32 How to study exo:c nuclei? An ar:st view Coulomb Excitation Transfer, Deep Inelastic, Incomplete Fusion Fusion- Evaporation Fragmentation
33
34 Gamma-ray Spectroscopy and Nuclear Physics Gamma-ray spectroscopy has played a major role in the study of the atomic nucleus. Coincidence relations à Level/decay scheme Angular distributions /correlations à Multipolarity, spins Linear polarization à E/M, parity Doppler shifts à Lifetimes, B(E/M λ)
35 What can we infer from the γ-ray spectra? Level Schemes Contain Structural Information Collective Rotation Single Particle Alignment
36 Coexistence of Excitations Normal-Deformed Rotational Bands (β~0.3) Super-Deformed Rotational Bands (β~0.6)
37 Which detectors should we use? Effective Energy resolution (δe), Efficiency (ε), Peak-to-Background (P/T) Resolving Power GRETINA $ 0 M
38
Gamma-ray spectroscopy I
Gamma-ray spectroscopy I Andreas Görgen DAPNIA/SPhN, CEA Saclay F-91191 Gif-sur-Yvette France agoergen@cea.fr Lectures presented at the IoP Nuclear Physics Summer School September 4 17, 2005 Chester, UK
More informationSome (more) High(ish)-Spin Nuclear Structure. Lecture 2 Low-energy Collective Modes and Electromagnetic Decays in Nuclei
Some (more) High(ish)-Spin Nuclear Structure Lecture 2 Low-energy Collective Modes and Electromagnetic Decays in Nuclei Paddy Regan Department of Physics Univesity of Surrey Guildford, UK p.regan@surrey.ac.uk
More informationMagnetic rotation past, present and future
PRAMANA c Indian Academy of Sciences Vol. 75, No. 1 journal of July 2010 physics pp. 51 62 Magnetic rotation past, present and future A K JAIN and DEEPIKA CHOUDHURY Department of Physics, Indian Institute
More informationNuclear 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 informationChapter 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 informationRFSS: 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 informationc 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 informationCoexistence 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 informationAntimagnetic Rotation in Cd isotopes
Proceedings of the DAE Symp. on Nucl. Phys. 56 (2011) 3 Antimagnetic Rotation in Cd isotopes S.Chattopadhyay,* and S. Roy Saha Institute of Nuclear Physics, Kolkata - 700064, INDIA. * email: Sukalyan.chattopadhyay@saha.ac.in
More informationarxiv: v2 [nucl-th] 8 May 2014
Oblate deformation of light neutron-rich even-even nuclei Ikuko Hamamoto 1,2 1 Riken Nishina Center, Wako, Saitama 351-0198, Japan 2 Division of Mathematical Physics, Lund Institute of Technology at the
More informationProbing neutron-rich isotopes around doubly closed-shell 132 Sn and doubly mid-shell 170 Dy by combined β-γ and isomer spectroscopy.
Probing neutron-rich isotopes around doubly closed-shell 132 Sn and doubly mid-shell 170 Dy by combined β-γ and isomer spectroscopy Hiroshi Watanabe Outline Prospects for decay spectroscopy of neutron-rich
More informationNilsson Model. Anisotropic Harmonic Oscillator. Spherical Shell Model Deformed Shell Model. Nilsson Model. o Matrix Elements and Diagonalization
Nilsson Model Spherical Shell Model Deformed Shell Model Anisotropic Harmonic Oscillator Nilsson Model o Nilsson Hamiltonian o Choice of Basis o Matrix Elements and Diagonaliation o Examples. Nilsson diagrams
More informationDeformed (Nilsson) shell model
Deformed (Nilsson) shell model Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 January 31, 2011 NUCS 342 (Lecture 9) January 31, 2011 1 / 35 Outline 1 Infinitely deep potential
More informationB. PHENOMENOLOGICAL NUCLEAR MODELS
B. PHENOMENOLOGICAL NUCLEAR MODELS B.0. Basic concepts of nuclear physics B.0. Binding energy B.03. Liquid drop model B.04. Spherical operators B.05. Bohr-Mottelson model B.06. Intrinsic system of coordinates
More informationLisheng Geng. Ground state properties of finite nuclei in the relativistic mean field model
Ground state properties of finite nuclei in the relativistic mean field model Lisheng Geng Research Center for Nuclear Physics, Osaka University School of Physics, Beijing University Long-time collaborators
More informationII. Spontaneous symmetry breaking
. Spontaneous symmetry breaking .1 Weinberg s chair Hamiltonian rotational invariant eigenstates of good angular momentum: M > have a density distribution that is an average over all orientations with
More informationarxiv: v1 [nucl-th] 8 Sep 2011
Tidal Waves a non-adiabatic microscopic description of the yrast states in near-spherical nuclei S. Frauendorf, Y. Gu, and J. Sun Department of Physics, University of Notre Dame, Notre Dame, IN 6556, USA
More information14. 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 informationLecture 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 information13. 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 informationNew 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 informationNuclear models: Collective Nuclear Models (part 2)
Lecture 4 Nuclear models: Collective Nuclear Models (part 2) WS2012/13: Introduction to Nuclear and Particle Physics,, Part I 1 Reminder : cf. Lecture 3 Collective excitations of nuclei The single-particle
More informationShell Eects in Atomic Nuclei
L. Gaudefroy, A. Obertelli Shell Eects in Atomic Nuclei 1/37 Shell Eects in Atomic Nuclei Laurent Gaudefroy 1 Alexandre Obertelli 2 1 CEA, DAM, DIF - France 2 CEA, Irfu - France Shell Eects in Finite Quantum
More informationUniversity of Tokyo (Hongo) Nov., Ikuko Hamamoto. Division of Mathematical Physics, LTH, University of Lund, Sweden
University of Tokyo (Hongo) Nov., 006 One-particle motion in nuclear many-body problem - from spherical to deformed nuclei - from stable to drip-line - from particle to quasiparticle picture kuko Hamamoto
More informationThe interacting boson model
The interacting boson model P. Van Isacker, GANIL, France Introduction to the IBM Practical applications of the IBM Overview of nuclear models Ab initio methods: Description of nuclei starting from the
More informationTheoretical Nuclear Physics
Theoretical Nuclear Physics (SH2011, Second cycle, 6.0cr) Comments and corrections are welcome! Chong Qi, chongq@kth.se The course contains 12 sections 1-4 Introduction Basic Quantum Mechanics concepts
More informationNuclear Structure (II) Collective models
Nuclear Structure (II) Collective models P. Van Isacker, GANIL, France NSDD Workshop, Trieste, March 2014 TALENT school TALENT (Training in Advanced Low-Energy Nuclear Theory, see http://www.nucleartalent.org).
More informationThe 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 informationShape 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 informationTriune Pairing Revelation
riune Pairing Revelation Luciano G. Moretto University of California Berkeley Lawrence Berkeley National Laboratory Berkeley, CA 947, USA -mail: lgmoretto@lbl.gov A remarkable quantitative consistency
More informationUGC ACADEMY LEADING INSTITUE FOR CSIR-JRF/NET, GATE & JAM PHYSICAL SCIENCE TEST SERIES # 4. Atomic, Solid State & Nuclear + Particle
UGC ACADEMY LEADING INSTITUE FOR CSIR-JRF/NET, GATE & JAM BOOKLET CODE PH PHYSICAL SCIENCE TEST SERIES # 4 Atomic, Solid State & Nuclear + Particle SUBJECT CODE 05 Timing: 3: H M.M: 200 Instructions 1.
More informationCHAPTER-2 ONE-PARTICLE PLUS ROTOR MODEL FORMULATION
CHAPTE- ONE-PATCLE PLUS OTO MODEL FOMULATON. NTODUCTON The extension of collective models to odd-a nuclear systems assumes that an odd number of pons (and/or neutrons) is coupled to an even-even core.
More informationINVESTIGATION OF THE EVEN-EVEN N=106 ISOTONIC CHAIN NUCLEI IN THE GEOMETRIC COLLECTIVE MODEL
U.P.B. Sci. Bull., Series A, Vol. 79, Iss. 1, 2017 ISSN 1223-7027 INVESTIGATION OF THE EVEN-EVEN N=106 ISOTONIC CHAIN NUCLEI IN THE GEOMETRIC COLLECTIVE MODEL Stelian St. CORIIU 1 Geometric-Collective-Model
More informationAllowed beta decay May 18, 2017
Allowed beta decay May 18, 2017 The study of nuclear beta decay provides information both about the nature of the weak interaction and about the structure of nuclear wave functions. Outline Basic concepts
More informationCentral density. Consider nuclear charge density. Frois & Papanicolas, Ann. Rev. Nucl. Part. Sci. 37, 133 (1987) QMPT 540
Central density Consider nuclear charge density Frois & Papanicolas, Ann. Rev. Nucl. Part. Sci. 37, 133 (1987) Central density (A/Z* charge density) about the same for nuclei heavier than 16 O, corresponding
More informationExploring the Structure of Cold and Warm Nuclei Using Particle Accelerators in India
Exploring the Structure of Cold and Warm Nuclei Using Particle Accelerators in India GOPAL MUKHERJEE VARIABLE ENERGY CYCLOTRON CENTRE, KOLKATA ABSTRACT The Indian National Gamma Array (INGA) and the VECC
More informationValence p-n interactions, shell model for deformed nuclei and the physics of exotic nuclei. Rick Casten WNSL, Dec 9, 2014
Valence p-n interactions, shell model for deformed nuclei and the physics of exotic nuclei Rick Casten WNSL, Dec 9, 2014 How can we understand nuclear behavior? Two approaches: 1) Nucleons in orbits and
More informationSystematics of the K π = 2 + gamma vibrational bands and odd even staggering
PRAMANA cfl Indian Academy of Sciences Vol. 61, No. 1 journal of July 2003 physics pp. 167 176 Systematics of the K π = 2 + gamma vibrational bands and odd even staggering J B GUPTA 1;2 and A K KAVATHEKAR
More informationJoint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation August Introduction to Nuclear Physics - 2
2358-20 Joint ICTP-IAEA Workshop on Nuclear Structure Decay Data: Theory and Evaluation 6-17 August 2012 Introduction to Nuclear Physics - 2 P. Van Isacker GANIL, Grand Accelerateur National d'ions Lourds
More informationSunday 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 informationarxiv:nucl-th/ v1 14 Nov 2005
Nuclear isomers: structures and applications Yang Sun, Michael Wiescher, Ani Aprahamian and Jacob Fisker Department of Physics and Joint Institute for Nuclear Astrophysics, University of Notre Dame, Notre
More informationIntro 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 informationAnnax-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 informationPHY982. Week Starting date Topic
PHY982 Week Starting date Topic 1 Jan 7+8 Introduction to nuclear reactions 2 Jan 14+15 Scattering theory 3 Jan 22 Scattering theory 4 Jan 28+29 Reaction mechanisms 5 Feb 4+5 Connecting structure and reactions
More informationISOMER BEAMS. P.M. WALKER Department of Physics, University of Surrey, Guildford GU2 7XH, UK
International Journal of Modern Physics E c World Scientific Publishing Company ISOMER BEAMS P.M. WALKER Department of Physics, University of Surrey, Guildford GU2 7XH, UK p.@surrey.ac.uk Received (received
More informationBeyond 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 informationShape coexistence and beta decay in proton-rich A~70 nuclei within beyond-mean-field approach
Shape coexistence and beta decay in proton-rich A~ nuclei within beyond-mean-field approach A. PETROVICI Horia Hulubei National Institute for Physics and Nuclear Engineering, Bucharest, Romania Outline
More informationAlpha 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 informationPhysics with Exotic Nuclei
Physics with Exotic Nuclei Hans-Jürgen Wollersheim NUclear STructure, Astrophysics and Reaction Outline Projectile Fragmentation A Route to Exotic Nuclei Fragmentation Cross Sections Nuclear Reaction Rates
More informationGoing beyond the traditional nuclear shell model with the study of neutron-rich (radioactive) light nuclei
Going beyond the traditional nuclear shell model with the study of neutron-rich (radioactive) light nuclei Fred SARAZIN Colorado School of Mines SORRY Overview What is low-energy nuclear physics? Stable
More informationarxiv: v1 [nucl-th] 18 Aug 2017
Analysis of Spectroscopic Factors in 1 Be in the Nilsson Strong Coupling Limit A. O. Macchiavelli, H. L. Crawford, C. M. Campbell, R. M. Clark, M. Cromaz, P. Fallon, M. D. Jones, I. Y. Lee, M. Salathe
More informationJoint 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 informationMean field studies of odd mass nuclei and quasiparticle excitations. Luis M. Robledo Universidad Autónoma de Madrid Spain
Mean field studies of odd mass nuclei and quasiparticle excitations Luis M. Robledo Universidad Autónoma de Madrid Spain Odd nuclei and multiquasiparticle excitations(motivation) Nuclei with odd number
More informationPhysics 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 informationNucleon Pairing in Atomic Nuclei
ISSN 7-39, Moscow University Physics Bulletin,, Vol. 69, No., pp.. Allerton Press, Inc.,. Original Russian Text B.S. Ishkhanov, M.E. Stepanov, T.Yu. Tretyakova,, published in Vestnik Moskovskogo Universiteta.
More informationCollective Excitations in Exotic Nuclei
Collective Excitations in Exotic Nuclei David Radford (ORNL) RIA Summer School, August 2002 I Nuclear Excitations: Single particle motion vs. Collective motion Collective Modes: Rotations and Vibrations
More informationRotational motion in thermally excited nuclei. S. Leoni and A. Bracco
Rotational motion in thermally excited nuclei S. Leoni and A. Bracco 4. Rotational motion in thermally excited nuclei * 4.1. Introduction The study of the nucleus at the limits of excitation energy and
More information4. Rotational motion in thermally excited nuclei *
4. Rotational motion in thermally excited nuclei * 4.1. Introduction The study of the nucleus at the limits of excitation energy and angular momentum is one of the central topics addressed with EUROBALL
More informationStudy of the spin orbit force using a bubble nucleus O. Sorlin (GANIL)
Study of the spin orbit force using a bubble nucleus O. Sorlin (GANIL) I. General introduction to the atomic nucleus Charge density, nuclear orbits Shell gaps-> magic nuclei II. The spin orbit force History
More informationH.O. [202] 3 2 (2) (2) H.O. 4.0 [200] 1 2 [202] 5 2 (2) (4) (2) 3.5 [211] 1 2 (2) (6) [211] 3 2 (2) 3.0 (2) [220] ε
E/ħω H r 0 r Y0 0 l s l l N + l + l s [0] 3 H.O. ε = 0.75 4.0 H.O. ε = 0 + l s + l [00] n z = 0 d 3/ 4 [0] 5 3.5 N = s / N n z d 5/ 6 [] n z = N lj [] 3 3.0.5 0.0 0.5 ε 0.5 0.75 [0] n z = interaction of
More informationHeavy-ion sub-barrier fusion reactions: a sensitive tool to probe nuclear structure
Heavy-ion sub-barrier fusion reactions: a sensitive tool to probe nuclear structure Kouichi Hagino Tohoku University, Sendai, Japan 1. Introduction: heavy-ion fusion reactions 2. Fusion and Quasi-elastic
More information1 Introduction. 2 The hadronic many body problem
Models Lecture 18 1 Introduction In the next series of lectures we discuss various models, in particluar models that are used to describe strong interaction problems. We introduce this by discussing the
More informationRFSS: Lecture 6 Gamma Decay
RFSS: Lecture 6 Gamma Decay Readings: Modern Nuclear Chemistry, Chap. 9; Nuclear and Radiochemistry, Chapter 3 Energetics Decay Types Transition Probabilities Internal Conversion Angular Correlations Moessbauer
More informationThe 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 informationLesson 5 The Shell Model
Lesson 5 The Shell Model Why models? Nuclear force not known! What do we know about the nuclear force? (chapter 5) It is an exchange force, mediated by the virtual exchange of gluons or mesons. Electromagnetic
More informationp-n interactions and The study of exotic nuclei
Lecture 3 -- R. F. Casten p-n interactions Estimating the properties of nuclei and The study of exotic nuclei Drivers of structural evolution, the emergence of collectivity, shape-phase transitions, and
More informationNuclear isomers: stepping stones to the unknown
Nuclear isomers: stepping stones to the unknown P.M. Walker Department of Physics, University of Surrey, Guildford GU2 7XH, UK Abstract. The utility of isomers for exploring the nuclear landscape is discussed,
More informationNuclear 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 informationp(p,e + ν)d reaction determines the lifetime of the sun
2013.12.25 Contents Basic properties of nuclear systems Different aspects in different time scales Symmetry breaking in finite time scale Rapidly rotating nuclei Superdeformation and new type of symmetry
More informationGamma-ray spectroscopy II
Gamma-ray spectroscopy II Andreas Görgen DAPNIA/SPhN, CEA Saclay F-91191 Gif-sur-Yvette France agoergen@cea.fr Lectures presented at the IoP Nuclear Physics Summer School September 4 17, 2005 Chester,
More informationHow to do C.C. calculations if there is only limited experimental information on intrinsic degrees of freedom?
New approach to coupled-channels calculations for heavy-ion fusion reactions around the Coulomb barrier Kouichi Hagino Tohoku University, Sendai, Japan 1. Introduction - H.I. sub-barrier fusion reactions
More informationBand Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory. C. R. Praharaj Institute of Physics Bhubaneswar.
Band Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory C. R. Praharaj Institute of Physics. India INT Workshop Nov 2007 1 Outline of talk Motivation Formalism HF calculation
More informationProjected shell model for nuclear structure and weak interaction rates
for nuclear structure and weak interaction rates Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China E-mail: sunyang@sjtu.edu.cn The knowledge on stellar weak interaction processes
More informationELECTRIC MONOPOLE TRANSITIONS AND STRUCTURE OF 150 Sm
NUCLEAR PHYSICS ELECTRIC MONOPOLE TRANSITIONS AND STRUCTURE OF 150 Sm SOHAIR M. DIAB Faculty of Education, Phys. Dept., Ain Shams University, Cairo, Roxy, Egypt Received May 16, 2007 The contour plot of
More informationEvolution 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 informationSpectroscopy of 74 Ge: from soft to rigid triaxiality
Spectroscopy of 7 Ge: from soft to rigid triaxiality J. J. Sun a, Z. Shi b, X. Q. Li a,, H. Hua a,, C. Xu a, Q. B. Chen a, S. Q. Zhang a, C. Y. Song b, J. Meng a, X. G. Wu c, S. P. Hu c, H. Q. Zhang c,
More informationNuclear structure Anatoli Afanasjev Mississippi State University
Nuclear structure Anatoli Afanasjev Mississippi State University 1. Nuclear theory selection of starting point 2. What can be done exactly (ab-initio calculations) and why we cannot do that systematically?
More informationThe collective model from a Cartan-Weyl perspective
The collective model from a Cartan-Weyl perspective Stijn De Baerdemacker Veerle Hellemans Kris Heyde Subatomic and radiation physics Universiteit Gent, Belgium http://www.nustruc.ugent.be INT workshop
More informationQuantum Theory of Many-Particle Systems, Phys. 540
Quantum Theory of Many-Particle Systems, Phys. 540 Questions about organization Second quantization Questions about last class? Comments? Similar strategy N-particles Consider Two-body operators in Fock
More informationNuclear Science Seminar (NSS)
Nuclear Science Seminar (NSS) Nov.13, 2006 Weakly-bound and positive-energy neutrons in the structure of drip-line nuclei - from spherical to deformed nuclei 6. Weakly-bound and positive-energy neutrons
More informationRIKEN Sept., Ikuko Hamamoto. Division of Mathematical Physics, LTH, University of Lund, Sweden
RIKEN Sept., 007 (expecting experimentalists as an audience) One-particle motion in nuclear many-body problem - from spherical to deformed nuclei - from stable to drip-line - from static to rotating field
More informationProton-neutron asymmetry in exotic nuclei
Proton-neutron asymmetry in exotic nuclei M. A. Caprio Center for Theoretical Physics, Yale University, New Haven, CT RIA Theory Meeting Argonne, IL April 4 7, 2006 Collective properties of exotic nuclei
More informationarxiv: v1 [nucl-th] 16 Sep 2008
New supersymmetric quartet of nuclei: 192,193 Os- 193,194 Ir arxiv:0809.2767v1 [nucl-th] 16 Sep 2008 R. Bijker, J. Barea, A. Frank, G. Graw, R. Hertenberger, J. Jolie and H.-F. Wirth ICN-UNAM, AP 7543,
More informationFAIR. Reiner Krücken for the NUSTAR collaboration
NUSTAR @ FAIR Reiner Krücken for the NUSTAR collaboration Physik Department E12 Technische Universität München & Maier-Leibnitz-Laboratory for Nuclear and Particle Physics NUSTAR @ FAIR Nuclear Structure
More informationMeasurements of B(E2) transition rates in neutron rich carbon isotopes, 16 C- 20 C.
Measurements of B(E2) transition rates in neutron rich carbon isotopes, 16 C- 20 C. Paul Fallon Lawrence Berkeley National Laboratory Marina Petri, R. M. Clark, M. Cromaz, S. Gros, H. B. Jeppesen, I-Y.
More informationSpace-Time Symmetries
Space-Time Symmetries Outline Translation and rotation Parity Charge Conjugation Positronium T violation J. Brau Physics 661, Space-Time Symmetries 1 Conservation Rules Interaction Conserved quantity strong
More informationProbing 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 informationTesting 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 informationHigh Spin States in Nuclei: Exotic Quantal Rotation III. Umesh Garg. University of Notre Dame. Supported in part by the National Science Foundation
High Spin States in Nuclei: Exotic Quantal Rotation III Umesh Garg University of Notre Dame Supported in part by the National Science Foundation CNSSS17 August 23-29, 2017 u normal collective rotation
More informationDSAM 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 informationProduction of superheavy elements. Seminar: Key experiments in particle physics Supervisor: Kai Schweda Thorsten Heußer
Production of superheavy elements Seminar: Key experiments in particle physics 26.06.09 Supervisor: Kai Schweda Thorsten Heußer Outline 1. Introduction 2. Nuclear shell model 3. (SHE's) 4. Experiments
More informationExotic Nuclei. Ingo Wiedenhöver, National Nuclear Physics Summer School 7/16/2007 Tallahassee, Florida
Exotic Nuclei Outline Shell Structure Collective Structure: Experimental methods: Coulomb excitation Knockout reactions Magic Numbers in exotic nuclei New modes of collectivity? Ingo Wiedenhöver, National
More informationIsospin symmetry breaking in mirror nuclei. Experimental and theoretical methods
Isospin symmetry breaking in mirror nuclei Experimental and theoretical methods Silvia M. Lenzi Dipartimento di Fisica dell Università and INFN, Padova, Italy 2. Experimental techniques for mirror spectroscopy
More informationExperiments at NSCL. spectroscopy. A. Gade, 1/5/2011, Slide 1
Experiments at NSCL Who we are Nuclear science thrusts Production of rare isotopes at NSCL Projectile fragmentation and separation Experimental consideration with fast beams Selection of physics highlights
More informationPhysics 228 Today: April 22, 2012 Ch. 43 Nuclear Physics. Website: Sakai 01:750:228 or
Physics 228 Today: April 22, 2012 Ch. 43 Nuclear Physics Website: Sakai 01:750:228 or www.physics.rutgers.edu/ugrad/228 Nuclear Sizes Nuclei occupy the center of the atom. We can view them as being more
More informationNuclear Physics (10 th lecture)
~Theta Nuclear Physics ( th lecture) Content Nuclear Collective Model: Rainwater approx. (reinder) Consequences of nuclear deforation o Rotational states High spin states and back bending o Vibrational
More informationFrom few-body to many-body systems
From few-body to many-body systems Nasser Kalantar-Nayestanaki, KVI-CART, University of Groningen Few-Body Physics: Advances and Prospects in Theory and Experiment 614. WE-Heraeus-Seminar, Bad Honnef April
More informationRotations and vibrations of polyatomic molecules
Rotations and vibrations of polyatomic molecules When the potential energy surface V( R 1, R 2,..., R N ) is known we can compute the energy levels of the molecule. These levels can be an effect of: Rotation
More informationStructures and Transitions in Light Unstable Nuclei
1 Structures and Transitions in Light Unstable Nuclei Y. Kanada-En yo a,h.horiuchi b and A, Doté b a Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, Oho 1-1, Tsukuba-shi
More informationPHY492: 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