Stability Peninsulas at the Neutron Drip Line
|
|
- Nicholas Barker
- 5 years ago
- Views:
Transcription
1 Stability Peninsulas at the Neutron Drip Line Dmitry Gridnev 1, in collaboration with v. n. tarasov 3, s. schramm, k. A. gridnev, x. viñas 4 and walter greiner 1 Saint Petersburg State University, St. Petersburg, Russia; Frankfurt Institute for Advanced Studies, J.W.G. University, Frankfurt, Germany; 3 NSC Kharkov Institute of Physics and Technology, Kharkov, Ukraine; 4 University of Barcelona, Barcelona, Spain; Symposium on Exciting Physics, 13- November, South Africa
2 Nature 449, p. 1 (7)
3 σ r r r = (1 + σ ) δ ( ) σ δ δ ij V t x P r t x P ρ α R δ r σ 1 (1 )[ ( ) ( ) ] t x P k r + r + r k r + r r r 1 r r r r r r r + t (1 + x P ) k δ ( ) k + (1 + ) ( ) ( ) + i W [ k δ ( ) k ]( σ + σ ), where r = r i r r 1 r r r i r r r i s s, ( ) j R = +, k = ( ) i j i j, k = ( i j ), t, x ( n =,1,,3), α, W - parameters. n n Skyrme Forces P σ 1 = (1 + r σ r iσ j ), i j Skyrme Forces used in the calculations Force t t 1 t MeV fm 3 MeV fm 5 t MeV fm 5 3 x x 1 x x 3 W MeV fm 3+3α MeV fm 5 SLy4-488,91 486,8-546, ,,834 -,344-1, 1,354 13, 1/6 SkM* ,,, 13. 1/6 Ska -16,78 57,88-67,7 8, -,,, -,86 15, 1/3 S SkI ,6 1/4 SkI /4 SkP /6 α
4 equations: r h r r r r r r [ r + U ( R) + W ( R) ( i)( σ ) Φ = e Φ m q ( R) Hartree Fock Equations with Skyrme Forces i i i Axially deformed oscillator basis for deformed nuclei (D) r r i r iλϕ Φ i ( R, σ, q) = χq ( q) C ( R, ) i αϕα σ Λ e ϕn (, ) ( ) ( ) ( ) r n R σ ψ zλσ = n r ψ r n z χ σ z Σ α π 1/ n ( z) N ( ) z nz z e ξ 1 ψ = β H n ξ ξ = zβ z z Nn = z n π z nz! 1 Λ η n! Λ Λ Λ r ψ n ( r) = N ( ) r n β η e L r n η η = r β N Λ n = r r ( nr + Λ)! Spherically symmetric nuclei are also solved through iterated differential equations (S) h lα ( lα + 1) d h 1 d h 3 R ( r) R ( r) R ( r) { U ( ) [ ( 1) ( 1) ] * α + α * α + q r + j j l l * + α α + α α + m q r dr m q r dr m q Wq ( r)} Rα ( r) = eα Rα ( r) r BCS approximation with the paring constant G n,p =(19.5/)[1 ±.51(N - Z)/A] D: only with bound single-particle states. S: also quasistable continuum states under the centrifugal barrier are included.
5 Nuclear Chart (B vs Experiment) Z 1 SkM* Exp. B Dobaczewski (SkM*) N Green region shows the atomic nuclei which are experimentally known [Audi, Wapstra]. Solid line and black squares represent 1n drip line(λ n =) obtained in the B calculations with Skyrme forces SkM* [Stoitsov, Dobaczewski, Nazarewicz, Pittel, PR. C68 (3) 5431 ]. The orange arrow shows typical direction in the or B calculations.
6 Z 1 SkM* Rn Pb O 76 Ar Zr Kr 11 Ni Exp (Ska, SkM*) B Dobaczewski (SkM*) Red squares show isotopes stable with respect to one-neutron emission. Z is changed in the direction shown by the orange arrow. Stability enhancement should be checked on neutron magic numbers. N
7 a S n, (MeV) S n (Ska) 5 Exp λ n (Ska) 15 1n, n drip line 1 A=8 Z 14 Si (Ska) 1 Mg 1 Ne 8 O 6 4 O C N One neutron separation energies for Oxygen and the drip line fragment The stability enhancement through adding neutrons. The last neutron is also confined by the centrifugal barrier (dotted line shows its density distribution).
8 Comparison of single particle spectra in S, D and RMF methods. Ska forces for and G1,,3 and NL3 for the RMF method Spherical with Ska Axially deformed with Ska
9 S n, MeV 5 а Oxygen S n Z 14 1 ÕÔ (SkM*) Si Mg 15 λ n λ n B O Ne O C N 5 1n, n drip-line β n,p ,3,,1 b β n β p B A, -,1 -, -, The properties of oxygen isotopes in D and B methods with SkM* forces. The insertion represents the D neutron drip line. (a) - One neutron separation energies S n and neutron chemical potential. (b) - Neutron and proton parameters of deformation β n,p. A
10 ε i, MeV f 5/ 1f 7/ p 1/ p 3/ 1d 3/,5,5,333 1f 5/ p 1/ 1f 7/ p 3/ s 1/ 1h 11/ 1g 7/ 36 Ο, Ο,333,5 4 Ο,667 4 Ο,833 1, 44 Ο,5 1d 3/ s 1/ p 3/ 1h 11/ The fragments of neutron single-particle spectra for extremely neutron rich isotopes of Oxygen and Nickel. - d 3/ 1g 7/ ε i (MeV) s 1/ d 5/ d 3/ 3s 1/ d 5/ -8 1g 9/ Ni 1 Ni 1 Ni 14 Ni 16 Ni 18 Ni 11 Ni 1g 9/ 11 Ni
11 Z 1 SkM* Zr(1i ) 4 13/ 4 56 Ba(1k 15/ ) 18 6 Fe(1h 11/ ) 74 S(d ) N= / 4 O(1f ) 8 7/ Exp. (Ska, SkM*) B Dobaczewski (SkM*) N Red squares form the peninsulas of stability. In brackets: the quantum numbers of the stabilizing level.
12 8 Z 1 SkM* Ba Zr Zr(1i 13/ ) 4 56 Ba(1k 15/ ) 18 6 Fe(1h 11/ ) 74 S(d ) N= / 4 O(1f ) 8 7/ Exp. (Ska, SkM*) B Dobaczewski (SkM*) N Detailed picture of stable isotopes with respect to one neutron emission between N=16 and N=184.
13 Z 1 SkI Te(1k 15/ ) Fe(1h 11/ ) 7 Si(d ) N= / 4 O(1f ) 8 7/ Sr(1i 13/ ) Exp. (SkI) B Dobaczewski (SkM*) N The same as in the previous figures but for SkI forces. The location of the peninsulas is the same, but for N=58, 16, 184 the peninsulas edges appear at larger Z then for SkM* forces. For N=184 the peninsula edge corresponds to Tellurium with A=36.
14 Z 1 Sly Gd(1k 15/ ) Ne(1f 7/ ) 11 Zn(1h ) 3 11/ 8 Ti(d ) 5/ 17 Ru(1i ) 44 13/ Exp. (Sly4) B Dobaczewski (Sly4) The same as in the previous figures but for Sly4 forces. The location of the peninsulas is the same but the edges locate at smaller Z compared to SkM* and SkI forces. N
15 S n МeV 3 а Ska 66 Pb S n МeV 3 b SkM* 66 Pb 1 4 Ba 1 N=184 N=184 4 Ba Xe S n (Ska) Dependences of one-neutron separation energies S n and two-neutrons separation energies S n for the isotones with N=184 for the Ska, SkM* forces on Z. The red line shows the S n obtained by the B method [PR. C68 (3) 5431 ]. Z -1 - S n МeV Xe S n (SkM*) c 4 Ba SkM* 66 Pb N= Z S n (SkM*) S n BDobaczewski (SkM*) Z
16 Comparison with grid calculations Empty squares: spherical equations with resonances incuded in BCS Black filled squares: Deformed with only bound states in BCS
17 V(r),МeV 15 1 φ i (r)*1 4 Ba V(r),МeV Ba k 15/ h=8.48 МeV r,фм g 7/ Ska g / r, Fm V(r),МeV V(r),МeV 36 Te 48 Gd k 15/ SkM* h=8.57 МeV potentials of the last filled level of the isotones with N=184. Red lines show the last filled level k 15/ h=7.6 МeV r,fm 3d 3/ -5 SkI 5-1 3d 3/ r,fm 1k 15/ Sly4 h=8.7 МeV The mechanism of stability enhancement at N=184 (the edge of stability peninsula). The appearance of peninsulas beyond the drip line is due to the complete filling of the corresponding neutron subshells with large values of angular momentum. Being partially filled these shells locate in the continuum but descend into the discrete spectrum getting further filled.
18 S n, (MeV) S n, (MeV) Gd S n (SkM*) Exp λ n (SkM*) 5 15 Gd (SkM*) Exp B (SkM*) Gd A A Left: One-neutron separation energies Gd with SkM* forces compared to B calculations [PRC 68 (3) 5431 ]. Right: the same for two neutrons separation energy.
19 Chemical Potential for Gd isotopes λ n, (MeV) Gd λ n (SkM*) λ n B (SkM*) A
20 Deformation parameters and Root Mean Square Radii for Gadolinium,5,4,3, β β m (SkM*) β B Dobaczewski (SkM*) Gd <r n,p >1/, (fm) 6,6 6,4 6, 6, r n (SkM*) r p (SkM*) r n B (SkM*) r p B (SkM*) Gd,1 48 Gd 5,8 5,6 48 Gd, 5,4 -,1 5, -, 5, -, A 4, A Empty circles on the left are unstable isotopes. Isotope 48 Gd belongs to the peninsula of stability.
21 Single particle spectra for 48 Gd Two different codes were used: allowing spherical shape and allowing possible deformation for SkM* forces. Red color shows the last filled level.
22 Proton and neutron density distributions for Oxygen Interesting relations between proton R p and neutron R n root mean square radii (SkM* forces) For nuclei in the middle of stability valley R n R p.1. fm 4 O R n R p 1.9 fm R n / R p Gd R n R p.77 fm R n / R p Ba R n R p.94 fm R n / R p 1.17
23 +BCS calculations of proton and neutron density distributions for 16,4 O and 146,48 Gd with SkM* forces.
24 The same for isotones with N = 184 (from 4 Ba up to 66 Pb excluding 58 W).
25 The same for isotones with N = 58 from Z=86 (Radon) up to Z=14.
26 Angular distribution of a Halo D θ x y θ θ 5 (, ˆ, ˆ) = cos sin ρ Ψ( ρ, θ, xˆ, yˆ) dρ ρ tan = y / x = x + y θ D( θ, xˆ, yˆ) 1 4 π 4 sin π θ
27 -E, МeV а E -E B S SkM* 1n drip line S n, -λ n, МeV c S n -λ n -λ n B 74 S (N=58) S n, МeV V b S n S n B β n,p -,4,3,,1 d ,1 β -, n 74 S (N=58) β -,3 p β B -,4 A A Properties of neutron rich Sulphur calculated by D and B methods using SkM* forces. Dot line is 1n drip line. Fig. (a): Total energy Fig.(b): Two-neutron separation energies Fig. (c): One-neutron separation energies and chemical potentials Fig. (d): Neutron and proton deformation parameters,
28 Total energies of uranium isotopes One-neutron separation energies and neutron chemical potentials of uranium isotopes
29 Two-neutron separation energies of uranium isotopes Parameters of deformation β of uranium isotopes
30 Which is the heaviest Uranium isotope? Relativistic mean field and +BCS calculation. Left: assuming spherical symmetry. Right: axially deformed case. Model N (1d) N (d) Etot (d) NL-Z MeV SkM* MeV SkI MeV SLy MeV
31 Peninsula on the shell N=58
32
33 SkM* N =(1771) Pb E, MeV Pb Q m,barn Constrained calculations of 8,3 Pb energy surface using Ska forces.
34 Energy gaps of 3 Pb using SkM* forces. 1,,8 SkM* N =(1771) Pb 3 x n p n,p, MeV,6,4,, Q m,barn
35 Mechanism of stability enhancement on the example of Pb isotopes
36 Density distribution in 3 Pb Left: normally deformed Right: superdeformed
37 β n,p β n,p,8,6 а Pb Ska,8,6 d Pb SkI,4,4 β n, β n, β p, β p,,8,6,4 b β n β p Pb SkM*,8,6,4 e β n β p Pb S3,,,,,8,6,4 c β n β p Pb SLy4,8,6,4 f β n β p Pb SkP,,,, A A Proton and neutron deformation parameters using Ska, SkM*, SkI, S3 and SkP forces
38 ,8,6 a Hg SkM*,8,6 b Pb SkM* β n β p,4,4 β n,p,,,, ,8,6 c ,8,6 d,4,4 β n,p, Po SkM*, Rn SkM*,, A A Proton and neutron deformation parameters of Hg, Pb, Po, Rn using SkM* forces
39 <r n,p >1/, (fm) 6,4 6, 6, 5,8 5,6 a Hg SkM* 6,4 6, 6, 5,8 5,6 b Pb SkM* r n r p 5, , ,4 c 6,4 d <r m) n,p >1/, (fm 6, 6, 5,8 5,6 5,4 Po SkM* 6, 6, 5,8 5, A A Rn SkM* Proton and neutron root mean square radii for Hg, Pb, Po, Rn using SkM* forces
40 V(r), МeV 6 7 Rn а V(r), МeV 6 8 Rn b 4 4 (1k 13/ ) 3f 7/ (h 11/ ) (3f 7/ ) (3d 3/ ) r,fm 1k 13/ 3f 7/ (h 11/ ) (3f 7/ ) r,fm - h 11/ 3d 3/ - h 11/ V(r), МeV Rn 3f 7/ c (1l 17/ ) (1k 13/ ) (h 11/ ) (3f 7/ ) r,фм Ska - 1k 13/ h 11/ 1l 17/ potentials for 7,8,314 Rn obtained with Ska forces in S approximation. Quantum numbers are shown for each one particle level. Red lines show the last filled level. Blue line show empty levels with a large angular momentum.
41 -E, МeV 44 а 4 4 Ar SkM* -E -E B 1n drip line S n, -λ n, МeV c S n -λ n -λ n B 76 Ar (N=58) b S n S n B -,,1 d S n, МeV β n,p n, -,1 β n 76 Ar (N=58) β p -, β B A A The properties of neutron rich Argon calculated within D and B with SkM* forces. Dotted line is 1n drip line. a) Total energy b) Two-neutron separation energy c) S n and neutron chemical potentials λ n d) Neutron and proton deformation parameters β n,p
42 -E, МeV а -E -E B Rn SkM* 1n drip line S n, -λ n, МeV c S n -λ n -λ n B 8 b S n -,8,6 d β n S n, МeV 4-4 S n B β n,p,4,, -, β p β B -, A -, A The properties of neutron rich Radon calculated within D and B with SkM* forces. Dotted line is 1n drip line. a) Total energy b) Two-neutron separation energy c) S n and neutron chemical potentials λ n d) Neutron and proton deformation parameters β n,p
43 Conclusions The peninsulas of nuclei stable with respect to emission of one or two neutrons can exist beyond the drip line that was previously known theoretically. The numbers N which correspond to the peninsulas of stability are close or coincide with the known magic numbers. The stability restoration through adding more neutrons and formation of stability peninsulas appear for various Skyrme forces. The isotones with N=3, 58, 8, 16, 184 which belong to the peninsulas of stability have spherical shape. The mechanism of stability restoration is due to the complete filling of neutron subshells lying in the discrete spectrum and having large values of angular momentum. These shells being partially filled are located in the continuum. Our results are in a good agreement with the results obtained by the B method with Skyrme forces up to neutron drip line. The obtained results show that the structure of the drip-line can be rather complex and reflects the shell structure. The drip line may extend further beyond what it was generally assumed previously.
Exotic Structures at the Neutron Drip Line and Stability of Neutron Matter In the Memory of K. A. Gridnev
Exotic Structures at the Neutron Drip Line and Stability of Neutron Matter In the Memory of K. A. Gridnev D. Gridnev 1,2 in collaboration with v. n. tarasov 3, s. schramm 2, d. k. gridnev 2, x. viñas 4
More informationPENINSULA OF NEUTRON STABILITY OF NUCLEI IN THE NEIGHBORHOOD OF N=258
PENINSULA OF NEUTRON STABILITY OF NUCLEI IN THE NEIGHBORHOOD OF N=258 V.N. Tarasov 1, K.A. Gridnev 2,3, W. Greiner 3, S. Schramm 3, D.K. Gridnev 3, D.V. Tarasov 1, X. Viñas 4 1 NSC Kharkov Institute of
More informationarxiv:nucl-th/ v1 24 Nov 2004
LETTER TO THE EDITOR On stability of the neutron rich Oxygen isotopes arxiv:nucl-th/4119v1 24 Nov 24 K.A. Gridnev 1,2, D.K. Gridnev 1,2, V.G. Kartavenko 2,3, V.E. Mitroshin, V.N. Tarasov, D.V. Tarasov
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 informationStability 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 informationNuclear Matter Incompressibility and Giant Monopole Resonances
Nuclear Matter Incompressibility and Giant Monopole Resonances C.A. Bertulani Department of Physics and Astronomy Texas A&M University-Commerce Collaborator: Paolo Avogadro 27th Texas Symposium on Relativistic
More informationObservables 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 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 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 informationRelativistic versus Non Relativistic Mean Field Models in Comparison
Relativistic versus Non Relativistic Mean Field Models in Comparison 1) Sampling Importance Formal structure of nuclear energy density functionals local density approximation and gradient terms, overall
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 informationMicroscopic description of fission in the neutron-deficient Pb region
Microscopic description of fission in the neutron-deficient Pb region Micha l Warda Maria Curie-Sk lodowska University, Lublin, Poland INT Seattle, 1-1-213 Fr 87 At 85 Rn 86 Po 84 Bi 83 Pb 82 Tl 81 Pb
More informationarxiv:nucl-th/ v1 27 Apr 2004
Skyrme-HFB deformed nuclear mass table J. Dobaczewski, M.V. Stoitsov and W. Nazarewicz arxiv:nucl-th/0404077v1 27 Apr 2004 Institute of Theoretical Physics, Warsaw University ul. Hoża 69, PL-00681 Warsaw,
More informationSome new developments in relativistic point-coupling models
Some new developments in relativistic point-coupling models T. J. Buervenich 1, D. G. Madland 1, J. A. Maruhn 2, and P.-G. Reinhard 3 1 Los Alamos National Laboratory 2 University of Frankfurt 3 University
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 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 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 informationNew Frontiers in Nuclear Structure Theory
New Frontiers in Nuclear Structure Theory From Realistic Interactions to the Nuclear Chart Robert Roth Institut für Kernphysik Technical University Darmstadt Overview Motivation Nucleon-Nucleon Interactions
More informationSchiff Moments. J. Engel. May 9, 2017
Schiff Moments J. Engel May 9, 2017 Connection Between EDMs and T Violation Consider non-degenerate ground state g.s. : J, M. Symmetry under rotations R y (π) for vector operator like d i e i r i implies:
More informationNeutron Halo in Deformed Nuclei
Advances in Nuclear Many-Body Theory June 7-1, 211, Primosten, Croatia Neutron Halo in Deformed Nuclei Ó Li, Lulu Ò School of Physics, Peking University June 8, 211 Collaborators: Jie Meng (PKU) Peter
More informationThe Nuclear Shell Model Toward the Drip Lines
The Nuclear Shell Model Toward the Drip Lines ALFREDO POVES Departamento de Física Teórica and IFT, UAM-CSIC Universidad Autónoma de Madrid (Spain) Universidad Internacional del Mar Aguilas, July 25-28,
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 informationHeavy-ion reactions and the Nuclear Equation of State
Heavy-ion reactions and the Nuclear Equation of State S. J. Yennello Texas A&M University D. Shetty, G. Souliotis, S. Soisson, Chen, M. Veselsky, A. Keksis, E. Bell, M. Jandel Studying Nuclear Equation
More informationWEAKLY BOUND NEUTRON RICH C ISOTOPES WITHIN RMF+BCS APPROACH
NUCLEAR PHYSICS WEAKLY BOUND NEUTRON RICH C ISOTOPES WITHIN RMF+BCS APPROACH G. SAXENA 1,2, D. SINGH 2, M. KAUSHIK 3 1 Department of Physics, Govt. Women Engineering College, Ajmer-305002 India, E-mail:
More informationSchiff Moments. J. Engel. November 4, 2016
Schiff Moments J. Engel November 4, 2016 One Way Things Get EDMs Starting at fundamental level and working up: Underlying fundamental theory generates three T-violating πnn vertices: N? ḡ π New physics
More informationThe Electronic Structure of Atoms
The Electronic Structure of Atoms Classical Hydrogen-like atoms: Atomic Scale: 10-10 m or 1 Å + - Proton mass : Electron mass 1836 : 1 Problems with classical interpretation: - Should not be stable (electron
More informationarxiv:nucl-th/ v1 27 Mar 2006
Various Cluster Radioactivities above Magic Nuclei F.R. Xu 1,2,3 and J.C. Pei 1 1 School of Physics and MOE Laboratory of Heavy Ion Physics, Peking University, Beijing 100871, China 2 Institute of Theoretical
More informationLarge-Scale Mass Table Calculations
Large-Scale Mass Table Calculations M. Stoitsov Department of Physics and Astronomy, UT, Knoxville, TN 37996, USA Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA Joint Institute for Heavy-Ion Research,
More informationSchiff Moments. J. Engel. October 23, 2014
Schiff Moments J. Engel October 23, 2014 One Way Things Get EDMs Starting at fundamental level and working up: Underlying fundamental theory generates three T -violating πnn vertices: N? ḡ π New physics
More informationSummary 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 informationThe Nuclear Many-Body problem. Lecture 3
The Nuclear Many-Body problem Lecture 3 Emergent phenomena at the drip lines. How do properties of nuclei change as we move towards the nuclear driplines? Many-body open quantum systems. Unification of
More informationIntroduction to Nuclear Physics
1/3 S.PÉRU The nucleus a complex system? What is the heaviest nucleus? How many nuclei do exist? What about the shapes of the nuclei? I) Some features about the nucleus discovery radius, shape binding
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 informationNuclear Landscape not fully known
Nuclear Landscape not fully known Heaviest Elements? Known Nuclei Limit of proton rich nuclei? Fission Limit? Possible Nuclei Limit of Neutron Rich Nuclei? Nuclear Radii Textbooks: R = r 00 A 1/3 1/3 I.
More informationShape of Lambda Hypernuclei within the Relativistic Mean-Field Approach
Universities Research Journal 2011, Vol. 4, No. 4 Shape of Lambda Hypernuclei within the Relativistic Mean-Field Approach Myaing Thi Win 1 and Kouichi Hagino 2 Abstract Self-consistent mean-field theory
More informationTamara Nikšić University of Zagreb
CONFIGURATION MIXING WITH RELATIVISTIC SCMF MODELS Tamara Nikšić University of Zagreb Supported by the Croatian Foundation for Science Tamara Nikšić (UniZg) Primošten 11 9.6.11. 1 / 3 Contents Outline
More informationGround-state properties of some N=Z medium mass heavy nuclei. Keywords: Nuclear properties, neutron skin thickness, HFB method, RMF model, N=Z nuclei
Ground-state properties of some N=Z medium mass heavy nuclei Serkan Akkoyun 1, Tuncay Bayram 2, Şevki Şentürk 3 1 Department of Physics, Faculty of Science, Cumhuriyet University, Sivas, Turkey 2 Department
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 informationCollective excitations of Λ hypernuclei
Collective excitations of Λ hypernuclei Kouichi Hagino (Tohoku Univ.) J.M. Yao (Southwest Univ.) Z.P. Li (Southwest Univ.) F. Minato (JAEA) 1. Introduction 2. Deformation of Lambda hypernuclei 3. Collective
More informationNuclear structure aspects of Schiff Moments. N.Auerbach Tel Aviv University and MSU
Nuclear structure aspects of Schiff Moments N.Auerbach Tel Aviv University and MSU T-P-odd electromagnetic moments In the absence of parity (P) and time (T) reversal violation the T P-odd moments for a
More informationReactions of neutron-rich Sn isotopes investigated at relativistic energies at R 3 B
investigated at relativistic energies at R 3 B for the R 3 B collaboration Technische Universität Darmstadt E-mail: fa.schindler@gsi.de Reactions of neutron-rich Sn isotopes have been measured in inverse
More informationMass and energy dependence of nuclear spin distributions
Mass and energy dependence of nuclear spin distributions Till von Egidy Physik-Department, Technische Universität München, Germany Dorel Bucurescu National Institute of Physics and Nuclear Engineering,
More informationInteraction cross sections for light neutron-rich nuclei
PHYSICAL REVIEW C, VOLUME 65, 014612 Interaction cross sections for light neutron-rich nuclei B. A. Brown and S. Typel Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory,
More informationCompressibility of Nuclear Matter from Shell Effects in Nuclei
RIKEN Review No. 10 (March, 1999): Focused on Selected Topics in Nuclear Collective Excitations (NUCOLEX99) 1 Compressibility of Nuclear Matter from Shell Effects in Nuclei M.M. Sharma Physics Department,
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 informationTemperature Dependence of the Symmetry Energy and Neutron Skins in Ni, Sn, and Pb Isotopic Chains
Bulg. J. Phys. 44 (2017) S27 S38 Temperature Dependence of the Symmetry Energy and Neutron Skins in Ni, Sn, and Pb Isotopic Chains A.N. Antonov 1, D.N. Kadrev 1, M.K. Gaidarov 1, P. Sarriguren 2, E. Moya
More informationRelativistic Hartree-Bogoliubov description of sizes and shapes of A = 20 isobars
Relativistic Hartree-Bogoliubov description of sizes and shapes of A = 20 isobars G.A. Lalazissis 1,2, D. Vretenar 1,3, and P. Ring 1 arxiv:nucl-th/0009047v1 18 Sep 2000 1 Physik-Department der Technischen
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION doi:10.1038/nature11188 In addition to the figures shown in the article, we include here further results for isovector and isoscalar quadrupole deformations and neutron skin using
More informationPairing and ( 9 2 )n configuration in nuclei in the 208 Pb region
Pairing and ( 9 2 )n configuration in nuclei in the 208 Pb region M. Stepanov 1, L. Imasheva 1, B. Ishkhanov 1,2, and T. Tretyakova 2, 1 Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991
More informationDipole Response of Exotic Nuclei and Symmetry Energy Experiments at the LAND R 3 B Setup
Dipole Response of Exotic Nuclei and Symmetry Energy Experiments at the LAND R 3 B Setup Dominic Rossi for the LAND collaboration GSI Helmholtzzentrum für Schwerionenforschung GmbH D 64291 Darmstadt, Germany
More informationDensity dependence of the nuclear symmetry energy estimated from neutron skin thickness in finite nuclei
Density dependence of the nuclear symmetry energy estimated from neutron skin thickness in finite nuclei X. Roca-Maza a,c X. Viñas a M. Centelles a M. Warda a,b a Departament d Estructura i Constituents
More informationTemperature Dependence of the Symmetry Energy and Neutron Skins in Ni, Sn, and Pb Isotopic Chains
NUCLEAR THEORY, Vol. 36 (17) eds. M. Gaidarov, N. Minkov, Heron Press, Sofia Temperature Dependence of the Symmetry Energy and Neutron Skins in Ni, Sn, and Pb Isotopic Chains A.N. Antonov 1, D.N. Kadrev
More informationIsospin asymmetry in stable and exotic nuclei
Isospin asymmetry in stable and exotic nuclei Xavier Roca Maza 6 May 2010 Advisors: Xavier Viñas i Gausí and Mario Centelles i Aixalà Motivation: Nuclear Chart Relative Neutron excess I (N Z )/(N + Z )
More informationMapping Low-Energy Fission with RIBs (in the lead region)
Mapping Low-Energy Fission with RIBs (in the lead region) Andrei Andreyev University of York, UK Japan Atomic Energy Agency (JAEA), Tokai, Japan Low-energy fission in the new regions of the Nuclear Chart
More informationRelativistic point-coupling models for finite nuclei
Relativistic point-coupling models for finite nuclei T. J. Buervenich 1, D. G. Madland 1, J. A. Maruhn 2, and P.-G. Reinhard 3 1 Los Alamos National Laboratory 2 University of Frankfurt 3 University of
More informationDipole Polarizability and the neutron skin thickness
Dipole Polarizability and the neutron skin thickness Xavier Roca-Maza Università degli Studi di Milano and INFN Joint LIA COLL-AGAIN, COPIGAL, and POLITA Workshop, April 26th-29th 2016. 1 Table of contents:
More informationThree-nucleon forces and shell structure of neutron-rich Ca isotopes
Three-nucleon forces and shell structure of neutron-rich Ca isotopes Javier Menéndez Institut für Kernphysik (TU Darmstadt) and ExtreMe Matter Institute (EMMI) NUSTAR Week 3, Helsinki, 9 October 13 Outline
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 informationDensity dependence of the nuclear symmetry energy estimated from neutron skin thickness in finite nuclei
Density dependence of the nuclear symmetry energy estimated from neutron skin thickness in finite nuclei X. Viñas a M. Centelles a M. Warda a,b X. Roca-Maza a,c a Departament d Estructura i Constituents
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 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 informationA revised version of the lecture slides given in Sept., 2007.
RIKEN June, 010 (expecting experimentalists for audience) A revised version of the lecture slides given in Sept., 007. One-particle motion in nuclear many-body problem (V.1) - from spherical to deformed
More informationFIGURE 1. Excitation energy versus angular-momentum plot of the yrast structure of 32 S calculated with the Skyrme III interaction. Density distributi
KUNS1529 Exotic Shapes in 32 S suggested by the Symmetry-Unrestricted Cranked Hartree-Fock Calculations 1 Masayuki Yamagami and Kenichi Matsuyanagi Department of Physics, Graduate School of Science, Kyoto
More informationNuclear physics: a laboratory for many-particle quantum mechanics or From model to theory in nuclear structure physics
Nuclear physics: a laboratory for many-particle quantum mechanics or From model to theory in nuclear structure physics G.F. Bertsch University of Washington Stockholm University and the Royal Institute
More informationBeyond-mean-field approach to low-lying spectra of Λ hypernuclei
Beyond-mean-field approach to low-lying spectra of Λ hypernuclei Kouichi Hagino (Tohoku Univ.) Hua Mei (Tohoku Univ.) J.M. Yao (Tohoku U. / Southwest U.) T. Motoba (Osaka Electro-Commun. U. ) 1. Introduction
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 informationSystematics of the first 2 + excitation in spherical nuclei with the Skryme quasiparticle random-phase approximation
PHYSICAL REVIEW C 78, 311 (8) Systematics of the first + excitation in spherical nuclei with the Skryme quasiparticle random-phase approximation J. Terasaki, 1 J. Engel, 1 and G. F. Bertsch 1 Department
More informationarxiv: v1 [nucl-th] 24 Oct 2007
February 2, 28 :28 WSPC/INSTRUCTION FILE kazi27d International Journal of Modern Physics E c World Scientific Publishing Company arxiv:71.4411v1 [nucl-th] 24 Oct 27 Cluster radioactivity of isotopes in
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 informationNucleus. Electron Cloud
Atomic Structure I. Picture of an Atom Nucleus Electron Cloud II. Subatomic particles Particle Symbol Charge Relative Mass (amu) protons p + +1 1.0073 neutrons n 0 1.0087 electrons e - -1 0.00054858 Compare
More informationNuclear Astrophysics
Nuclear Astrophysics III: Nucleosynthesis beyond iron Karlheinz Langanke GSI & TU Darmstadt Tokyo, November 18, 2008 Karlheinz Langanke ( GSI & TU Darmstadt) Nuclear Astrophysics Tokyo, November 18, 2008
More informationEvolution of shell structure in neutron-rich calcium isotopes
Evolution of shell structure in neutron-rich calcium isotopes G. Hagen,, M. Hjorth-Jensen,, G. R. Jansen, R. Machleidt, 5 and T. Papenbrock, Physics Division, Oak Ridge National Laboratory, Oak Ridge,
More informationNuclear matter inspired Energy density functional for finite nuc
Nuclear matter inspired Energy density functional for finite nuclei: the BCP EDF M. Baldo a, L.M. Robledo b, P. Schuck c, X. Vinyes d a Instituto Nazionale di Fisica Nucleare, Sezione di Catania, Catania,
More informationThe Periodic Table. Periodic Properties. Can you explain this graph? Valence Electrons. Valence Electrons. Paramagnetism
Periodic Properties Atomic & Ionic Radius Energy Electron Affinity We want to understand the variations in these properties in terms of electron configurations. The Periodic Table Elements in a column
More informationDipole Polarizability and the neutron skin thickness
Dipole Polarizability and the neutron skin thickness Xavier Roca-Maza Università degli Studi di Milano and INFN MITP Scientific Program Neutron Skins of Nuclei May 17th-27th 2016. 1 Table of contents:
More informationCHEM 312 Lecture 7: Fission
CHEM 312 Lecture 7: Fission Readings: Modern Nuclear Chemistry, Chapter 11; Nuclear and Radiochemistry, Chapter 3 General Overview of Fission Energetics The Probability of Fission Fission Product Distributions
More informationPygmy dipole resonances in stable and unstable nuclei
Pygmy dipole resonances in stable and unstable nuclei Xavier Roca-Maza INFN, Sezione di Milano, Via Celoria 16, I-2133, Milano (Italy) Collaborators: Giacomo Pozzi, Marco Brenna, Kazhuito Mizuyama and
More informationPre-scission shapes of fissioning nuclei
Pre-scission shapes of fissioning nuclei Micha l Warda Uniwersytet Marii Curie-Sk lodowskiej Lublin, Poland SSNET Workshop Gif-sur-Yvette, 6-11.11.216 Collaboration: J.L. Egido, UAM, Madrid W. Nazarewicz,
More informationNuclear symmetry energy deduced from dipole excitations: comparison with other constraints
Nuclear symmetry energy deduced from dipole excitations: a comparison with other constraints G. Colò June 15th, 2010 This work is part of a longer-term research plan. The goal is: understanding which are
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 informationNuclear Fission Fission discovered by Otto Hahn and Fritz Strassman, Lisa Meitner in 1938
Fission Readings: Modern Nuclear Chemistry, Chapter 11; Nuclear and Radiochemistry, Chapter 3 General Overview of Fission Energetics The Probability of Fission Fission Product Distributions Total Kinetic
More informationNuclear shapes. The question of whether nuclei can rotate became an issue already in the very early days of nuclear spectroscopy
Shapes Nuclear shapes The first evidence for a non-spherical nuclear shape came from the observation of a quadrupole component in the hyperfine structure of optical spectra The analysis showed that the
More informationarxiv:nucl-th/ v1 12 Jun 2003
Relativistic mean field theory for deformed nuclei with the pairing correlations arxiv:nucl-th/0306038v1 12 Jun 2003 Lisheng Geng 1,3, ), Hiroshi Toki 1,2, ), Satoru Sugimoto 2, ) 3, ), and Jie Meng 1
More informationMapping Fission in Terra Incognita in the neutron-deficient lead region
Mapping Fission in Terra Incognita in the neutron-deficient lead region Andrei Andreyev University of York, UK Japan Atomic Energy Agency (JAEA, Tokai, Japan) 200,202,204 Fr N/Z~1.25 192,194,196 At 186,188
More informationCalculating β Decay for the r Process
Calculating β Decay for the r Process J. Engel with M. Mustonen, T. Shafer C. Fröhlich, G. McLaughlin, M. Mumpower, R. Surman D. Gambacurta, M. Grasso January 8, 7 R-Process Abundances Nuclear Landscape
More informationCollective excitations in nuclei away from the valley of stability
Collective excitations in nuclei away from the valley of stability A. Horvat 1, N. Paar 16.7.14, CSSP 14, Sinaia, Romania 1 Institut für Kernphysik, TU Darmstadt, Germany (for the R3B-LAND collaboration)
More informationChem 6 Sample exam 2 (150 points total) NAME:
hem 6 Sample exam 2 (150 points total) @ This is a closed book exam to which the onor Principle applies. @ The last page contains equations and physical constants; you can detach it for easy reference.
More informationLaser Spectroscopy on Bunched Radioactive Ion Beams
Laser Spectroscopy on Bunched Radioactive Ion Beams Jon Billowes University of Manchester Balkan School on Nuclear Physics, Bodrum 2004 Lecture 1. 1.1 Nuclear moments 1.2 Hyperfine interaction in free
More informationTowards 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 informationSTRUCTURE FEATURES REVEALED FROM THE TWO NEUTRON SEPARATION ENERGIES
NUCLEAR PHYSICS STRUCTURE FEATURES REVEALED FROM THE TWO NEUTRON SEPARATION ENERGIES SABINA ANGHEL 1, GHEORGHE CATA-DANIL 1,2, NICOLAE VICTOR AMFIR 2 1 University POLITEHNICA of Bucharest, 313 Splaiul
More informationNuclear Structure V: Application to Time-Reversal Violation (and Atomic Electric Dipole Moments)
T Symmetry EDM s Octupole Deformation Other Nuclei Nuclear Structure V: Application to Time-Reversal Violation (and Atomic Electric Dipole Moments) J. Engel University of North Carolina June 16, 2005 T
More information5 questions, 3 points each, 15 points total possible. 26 Fe Cu Ni Co Pd Ag Ru 101.
Physical Chemistry II Lab CHEM 4644 spring 2017 final exam KEY 5 questions, 3 points each, 15 points total possible h = 6.626 10-34 J s c = 3.00 10 8 m/s 1 GHz = 10 9 s -1. B= h 8π 2 I ν= 1 2 π k μ 6 P
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 informationarxiv: v2 [nucl-th] 28 Aug 2014
Pigmy resonance in monopole response of neutron-rich Ni isotopes? Ikuko Hamamoto 1,2 and Hiroyuki Sagawa 1,3 1 Riken Nishina Center, Wako, Saitama 351-0198, Japan 2 Division of Mathematical Physics, arxiv:1408.6007v2
More informationNew T=1 effective interactions for the f 5/2 p 3/2 p 1/2 g 9/2 model space: Implications for valence-mirror symmetry and seniority isomers
PHYSICAL REVIEW C 70, 044314 (2004) New T=1 effective interactions for the f 5/2 p 3/2 p 1/2 g 9/2 model space: Implications for valence-mirror symmetry and seniority isomers A. F. Lisetskiy, 1 B. A. Brown,
More informationSpin Cut-off Parameter of Nuclear Level Density and Effective Moment of Inertia
Commun. Theor. Phys. (Beijing, China) 43 (005) pp. 709 718 c International Academic Publishers Vol. 43, No. 4, April 15, 005 Spin Cut-off Parameter of Nuclear Level Density and Effective Moment of Inertia
More informationActivity # 2. Name. Date due. Assignment on Atomic Structure
Activity # 2 10 Name Date Date due Assignment on Atomic Structure NOTE: This assignment is based on material on the Power Point called Atomic Structure, as well as pages 167-173 in the Science Probe textbook.
More informationContinuum States in Drip-line Oxygen isotopes
Continuum States in Drip-line Oxygen isotopes EFES-NSCL WORKSHOP, Feb. 4-6, 2010 @ MSU Department of Physics The University of Tokyo Koshiroh Tsukiyama *Collaborators : Takaharu Otsuka (Tokyo), Rintaro
More informationNuclear density functional theory from low energy constants: application to cold atoms and neutron matter. Denis Lacroix. Outline:
Celebration of X. Viñas retirement, Milano 19-20 Sept. 2017 Nuclear density functional theory from low energy constants: application to cold atoms and neutron matter Outline: Denis Lacroix Brief historical
More informationarxiv:nucl-th/ v1 11 Jan 2007
SKYRME-HFB CALCULATIONS IN COORDINATE SPACE FOR THE KRYPTON ISOTOPES UP TO THE TWO-NEUTRON DRIPLINE V.E. OBERACKER 1, A. BLAZKIEWICZ 2, A.S. UMAR 3 arxiv:nucl-th/0701030v1 11 Jan 2007 1 Department of Physics
More information