原子核配对壳模型的相关研究 Yanan Luo( 罗延安 ), Lei Li( 李磊 ) School of Physics, Nankai University, Tianjin Yu Zhang( 张宇 ), Feng Pan( 潘峰 ) Department of Physics, Liaoning.

Slides:



Advertisements
Similar presentations
Spectroscopy at the Particle Threshold H. Lenske 1.
Advertisements

Valence shell excitations in even-even spherical nuclei within microscopic model Ch. Stoyanov Institute for Nuclear Research and Nuclear Energy Sofia,
Electromagnetic Properties of
Generalized pairing models, Saclay, June 2005 Generalized models of pairing in non-degenerate orbits J. Dukelsky, IEM, Madrid, Spain D.D. Warner, Daresbury,
Isomers and shape transitions in the n-rich A~190 region: Phil Walker University of Surrey prolate K isomers vs. oblate collective rotation the influence.
The Collective Model Aard Keimpema.
Structure of odd-odd nuclei in the interacting boson fermion-fermion model 3.
Nucleon-pair transfer-intensities nuclear shape-phase transitions
Projected-shell-model study for the structure of transfermium nuclei Yang Sun Shanghai Jiao Tong University Beijing, June 9, 2009.
Semi-magic seniority isomers and the effective interactions
High spin states in 136,137 La, 148 Ce and 105 Mo.
NPSC-2003Gabriela Popa Microscopic interpretation of the excited K  = 0 +, 2 + bands of deformed nuclei Gabriela Popa Rochester Institute of Technology.
Nuclear Low-lying Spectrum and Quantum Phase Transition Zhipan Li School of Physical Science and Technology Southwest University 17th Nuclear Physics Workshop,
(An outgrowth of our studies of shape/phase transitions and empirical signatures for them) A) An enhanced link between nuclear masses and structure B)
Outline  Simple comments on regularities of many-body systems under random interactions  Number of spin I states for single-j configuration  J-pairing.
Study Of Nuclei at High Angular Momentum – Day 2 Michael P. Carpenter Nuclear Physics School, Goa, India Nov. 9-17, 2011 Outline 1)Introduction 2)Deformation.
NSDD Workshop, Trieste, February 2006 Nuclear Structure (II) Collective models P. Van Isacker, GANIL, France.
Statistical properties of nuclei: beyond the mean field Yoram Alhassid (Yale University) Introduction Beyond the mean field: correlations via fluctuations.
Even-even nuclei odd-even nuclei odd-odd nuclei 3.1 The interacting boson-fermion model.
Odd nuclei and Shape Phase Transitions: the role of the unpaired fermion PRC 72, (2005); PRC 76, (2007); PRC 78, (2008); PRC 79,
The stability of triaxial superdeformed shape in odd-odd Lu isotopes Tu Ya.
fermions c j N bosons A nucleons valence nucleonsN nucleon pairs L = 0 and 2 pairs s,d  even-even nuclei 2.2 The Interacting Boson Approximation A.
Ning Wang 1, Min Liu 1, Xi-Zhen Wu 2, Jie Meng 3 Isospin effects in nuclear mass models Nuclear Structure and Related Topics (NSRT15), , DUBNA.
Tomohiro Oishi 1,2, Markus Kortelainen 2,1, Nobuo Hinohara 3,4 1 Helsinki Institute of Phys., Univ. of Helsinki 2 Dept. of Phys., Univ. of Jyvaskyla 3.
L. R. Dai (Department of Physics, Liaoning Normal University) Z.Y. Zhang, Y.W. Yu (Institute of High Energy Physics, Beijing, China) Nucleon-nucleon interaction.
1 New formulation of the Interacting Boson Model and the structure of exotic nuclei 10 th International Spring Seminar on Nuclear Physics Vietri sul Mare,
Shape phase transition in neutron-rich even-even light nuclei with Z=20-28 H.B.Bai X.W.Li H.F.Dong W.C.Cao Department of Physics, Chifeng University, Chifeng.
Systematic study of isovector dipole mode up to A=50 KEK 研究会「原子核・ハドロン物理 : 横断研究会」 KEK, 2007 年 11 月 19 日 -21 日 稲倉恒法 中務孝 矢花一浩 ( 筑波大学 ) ( 理研 ) ( 筑波大学 )
The Algebraic Approach 1.Introduction 2.The building blocks 3.Dynamical symmetries 4.Single nucleon description 5.Critical point symmetries 6.Symmetry.
Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD Yu-xin Liu Department of Physics, Peking University Collaborators: Guo H., Gao.
Isospin and mixed symmetry structure in 26 Mg DONG Hong-Fei, BAI Hong-Bo LÜ Li-Jun, Department of Physics, Chifeng university.
Regular structure of atomic nuclei in the presence of random interactions.
ESNT Saclay February 2, Structure properties of even-even actinides at normal- and super-deformed shapes J.P. Delaroche, M. Girod, H. Goutte, J.
IAEA Workshop on NSDD, Trieste, November 2003 The interacting boson model P. Van Isacker, GANIL, France Dynamical symmetries of the IBM Neutrons, protons.
Partial dynamical symmetries in Bose-Fermi systems* Jan Jolie, Institute for Nuclear Physics, University of Cologne What are dynamical symmetries? Illustration.
How do nuclei rotate? The nucleus rotates as a whole.
Symmetries and collective Nuclear excitations PRESENT AND FUTURE EXOTICS IN NUCLEAR PHYSICS In honor of Geirr Sletten at his 70 th birthday Stefan Frauendorf,
ShuangQuan Zhang School of Physics, Peking University Static chirality and chiral vibration of atomic nucleus in particle rotor model.
Nuclear Structure SnSn P,n p n (  )‏ ( ,Xn)‏ M1E1 p,nn X λ ?E1 ExEx  Study of the pygmy dipole resonance as a function of deformation.
Quantum Phase Transitions (QPT) in Finite Nuclei R. F. Casten June 21, 2010, CERN/ISOLDE.
Petrică Buganu, and Radu Budaca IFIN-HH, Bucharest – Magurele, Romania International Workshop “Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects”
Nuclear and Radiation Physics, BAU, 1 st Semester, (Saed Dababneh). 1 Shell model Notes: 1. The shell model is most useful when applied to closed-shell.
Shell model space and the collectivity of low-lying states in SD- pair shell model Yanan Luo 1, Feng Pan 2, Yu Zhang 2 and Jerry P Draayer 3 1. School.
Some (more) High(ish)-Spin Nuclear Structure Paddy Regan Department of Physics Univesity of Surrey Guildford, UK Lecture 2 Low-energy.
第十四届全国核结构大会暨第十次全国核结构专题讨论会
Shape evolution of highly deformed 75 Kr and projected shell model description Yang Yingchun Shanghai Jiao Tong University Shanghai, August 24, 2009.
First Gogny conference, TGCC December 2015 DAM, DIF, S. Péru QRPA with the Gogny force applied to spherical and deformed nuclei M. Dupuis, S. Goriely,
Interacting boson model s-bosons (l=0) d-bosons (l=2) Interpretation: “nucleon pairs with l = 0, 2” “quanta of collective excitations” Dynamical algebra:
Left-handed Nuclei S. Frauendorf Department of Physics University of Notre Dame, USA IKH, Forschungszentrum Rossendorf Dresden, Germany.
Exactly Solvable gl(m/n) Bose-Fermi Systems Feng Pan, Lianrong Dai, and J. P. Draayer Liaoning Normal Univ. Dalian China Recent Advances in Quantum.
Correlations in Structure among Observables and Enhanced Proton-Neutron Interactions R.Burcu ÇAKIRLI Istanbul University International Workshop "Shapes.
The i 13/2 Proton and j 15/2 Neutron Orbital and the SD Band in A~190 Region Xiao-tao He En-guang Zhao En-guang Zhao Institute of Theoretical Physics,
Quantum phase transitions and structural evolution in nuclei.
Quantum Phase Transitions in Nuclei
Algebraic collective model and its applications Gabriela Thiamová Laboratoire de Physique Subatomique et de Cosmologie Institut National Polytechnique.
Dipa Bandyopadhyay University of York
Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition Yu Zhang Department of Physics, Liaoning Normal University, Dalian, China
Quantum Phase Transition from Spherical to γ-unstable for Bose-Fermi System Mahmut Böyükata Kırıkkale University Turkey collabration with Padova–Sevilla.
R.Burcu Cakirli*, L. Amon, G. Audi, D. Beck, K. Blaum, Ch. Böhm, Ch. Borgmann, M. Breitenfeldt, R.F. Casten, S. George, F. Herfurth, A. Herlert, M. Kowalska,
Nuclear Low-lying Spectrum and Quantum Phase Transition 李志攀 西南大学物理科学与技术学院.
超重原子核的结构 孙 扬 上海交通大学 合作者:清华大学 龙桂鲁, F. Al-Khudair 中国原子能研究院 陈永寿,高早春 济南,山东大学, 2008 年 9 月 20 日.
Quantum shape transitions in the shapes of atomic nuclei. J. Jolie, Universität zu Köln.
Determining Reduced Transition Probabilities for 152 ≤ A ≤ 248 Nuclei using Interacting Boson Approximation (IBA-1) Model By Dr. Sardool Singh Ghumman.
IV. Nuclear Structure Topics to be covered include:
Yu Zhang(张宇), Feng Pan(潘峰)
Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition
oblate prolate l=2 a20≠0, a2±1= a2±2= 0 Shape parameterization
Ch. Stoyanov Two-Phonon Mixed-Symmetry States in the Domain N=52
Structure and dynamics from the time-dependent Hartree-Fock model
Isomers and shape transitions in the n-rich A~190 region:
Presentation transcript:

原子核配对壳模型的相关研究 Yanan Luo( 罗延安 ), Lei Li( 李磊 ) School of Physics, Nankai University, Tianjin Yu Zhang( 张宇 ), Feng Pan( 潘峰 ) Department of Physics, Liaoning Normal University, Dalian J. P. Draayer Department of Physics and Astronomy, LSU, BTR Frontiers in Hadron and Nuclear Physics, Beijing Huairou

Outline I. Introduction II. Nucleon-pair shell model(NPSM) III. Work about the NPSM VI. Summary

I. Introduction Vibrational spectrum Rotational spectrum

Pairing model Interacting boson model Fermion dynamical symmetry model Rigid rotor model Shell model ……….

How to describe the collectivity in term of shell model? The problem in the shell model The Model space is HUGE! 10 9 for modern computers for mediam and heavy nuclei and modern computers fail for these nuclei! Truncation of the shell model space must be found!

The success of the IBM showes that S and D fermion pairs play important role S and D pairs mapping to s and d boson!

II. Nucleon-pair shell model The Hamiltonian

The model space

How to calculate …….

Commutator between coupled operators

Overlap between two N-pair states

The advantages of the NPSM: 1. it accommodates various truncation, ranging from the truncation to only the S subspace, the S-D subspace, up to the full shell model space 2. it is flexible enough to include the broken pair approximation, the pseudo SU(2) or the favored pair model and the fermion dynamical symmetry model as its special cases Because of the success of the IBM, the model space is truncated to the S- and D-pair subspace

III. Work about the NPSM Fitting the experimental data Limiting cases of the IBM Nuclear shape phase transitional pattern …….

The Hamiltonian used in fitting the experimental data

Summary Nucelon-pair shell model truncated to the SD-pair subspace is reasonable! IBM has sound shell model foundation! Thank you very much for your attention!

I. Nuclear Shape-Phases and Shape-Phase Transition Modes of nuclear collective motion and the symmetries  Shape of Nucleus  Sphere  Deforemation quadrupole octupole hexadecupole  Modes of Nuclear Collective Motion vibration axial rotation ( prolate, oblate) prolate  -soft rotation triaxial rotation From Prof. Yuxin Liu

 Correspondence between collective motion and symmetry Vibration U(5) Axial Rotation SU(3) ( SU*(3))  γ-soft rotation O(6)  Shape Phase Transition and the States at the Critical Points of the Phase Transitions Vibration – γ-soft Rotation E(5) Vibration – Prolate Axial Rotation X(5) Prolate – Oblate Axial Rotations Y(5)

Iachello, PRL 91, ( ’ 03)

Nuclear shape-phase and phase transition in IBM-2 M. A. Caprio and F. Iachello , Phys. Rev. Lett. 93, (2004)

II. Status of the research on nuclear shape phase transition Even-even nuclei, Odd-even nuclei, Odd-odd nuclei 1.IBM, IBFM, IBFFM 2.Geometric Collective models 3. Fermionic approachs FDSM, shell model, HFB

The most useful observables

Two neutron seperation energies E0 transition Isotopes shifts Two neutron transfer cross sections ……………….

III. SD-pair shell model(SDPSM) Because of the success of the IBM, the full space was truncated into SD-pair subspace, r=0, 2 The Hamiltonian can be diagonolized directly in the Fermion space!

IV. Nuclear shape phases in SDPSM

Rotational spectrum

V. Nuclear shape phase transition in SDPSM

Vibration to rotational transitional pattern

Boson Mapping (Dyson) Liu YX, et. al., Phys. Lett. B688,298(2010)

The Hamiltonian used in the SD-pair shell model shell

Quadrupolel-quadrupole interactional strength kappa E G 0 =0.1MeV, G 2 =0, k=0~0.05MeV/r 4 0

SDPSM results DBM results

Summary The nuclear shape phases can be produced very well in the SDPSM The nulcear shape phase transitional pattern as in the IBM can be produced in the SDPSM The properties of the critical symmetry can be produced in the SDPSM

Thanks !

Spectrum of E(5) Spectrum of X(5) Spectrum of Y(5) Symmetry Symmetry Symmetry ( Iachello, PRL 85, 3580 (2000) ) ( Iachello, PRL 87, (2001)) ( Iachello, PRL 91, (2003)) 134 Ba, 108 Pd, 130 Xe, ··· 152 Sm, 154 Gd, 156 Dy, 150 Nd, ··· 166 Er, 168 Er, ··· ( Casten, PRL 85, 3584 (2000); ( Casten, PRL 87, (2001); (PRC 68, (2003); … Ginocchio, PRL 90, (2003) ; Capirio, PRC 66, (2002); Liu, PRC 65, (2002), … ) Tonev, PRC 69, (2004); … )

Characteristic of Evolution of Energy Spectrum for the Transition from U(5) to SU(3) Through X(5) SU(3) (Rotation) X(5) U(5) (Vibration) ( Pan, Draayer, et. al., PLB 576, 297 (2003) )

Summary for the shape-phase transition in the U(5)-SU(3) transitional region Harmonic Vibrator Soft Liquid- drop Rigid Rotor

Extension: Unified description of the shape phase structure and phase transition of odd-A nuclei F. Iachello, Phys. Rev. Lett. 95, (2005); Result of U(6,4) model 135 Ba, E(5/4) Symmetry, M.S. Fetea, et al., Phys. Rev. C 73, (2005)