Analytical description of odd-A nuclei near the critical point of the spherical to axially deformed shape transition

被引：28

作者：

Zhang, Yu ^{[1
]}

Pan, Feng ^{[1
,2
]}

Liu, Yu-Xin ^{[3
,4
,5
]}

Hou, Zhan-Feng ^{[3
,4
]}

Draayer, J. P. ^{[2
]}

机构：

[1] Liaoning Normal Univ, Dept Phys, Dalian 116029, Peoples R China

[2] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[3] Peking Univ, Dept Phys, Beijing 100871, Peoples R China

[4] Peking Univ, Natl Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China

[5] Ctr Theoret Nucl Phys, Natl Lab Heavy Ion Accelerator, Lanzhou 730000, Peoples R China

来源：

PHYSICAL REVIEW C | 2010年 / 82卷 / 03期

基金：

美国国家科学基金会;

关键词：

INTERACTING-BOSON MODEL; DATA SHEETS; CLASSICAL LIMIT; SYMMETRY;

D O I：

10.1103/PhysRevC.82.034327

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

A coupling scheme for even-even nuclei with the X(5) critical point symmetry coupled to a single valence nucleon in a j orbit is proposed to approximately describe the critical point phenomena of spherical to axially deformed shape (phase) transition in odd-A nuclear systems. The corresponding scheme, which can be solved analytically, is called the X(5/(2j + 1)) model. A special case with j = 1/2 is analyzed in detail to show its level structure and transition patterns. It is further shown that Au-189 and Tb-155 may be possible X(5/(2j + 1)) symmetry candidates with j = 1/2 and j = 3/2, respectively.

引用

页数：5

共 36 条

[21] Supersymmetric Algebraic Model for Descriptions of Transitional Even-Even and Odd-A Nuclei near the Critical Point of the Vibrational to γ-Unstable Shapes
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Physics of Particles and Nuclei Letters, 2021, 18 : 511 - 526
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Dai, L. R.
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PHYSICAL REVIEW C, 2012, 86 (03):
[26] Quantum shape phase transitions from spherical to deformed for Bose-Fermi systems: the effect of the odd particle around the critical point
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[27] Bohr model description of the critical point for the first order shape phase transition
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PHYSICS LETTERS B, 2018, 776 : 26 - 31
[28] UBF (5) to SUBF (3) shape phase transition in odd nuclei for j=1/2, 3/2, and 5/2 orbits: The role of the odd particle at the critical point
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PHYSICAL REVIEW C, 2009, 79 (01):
[29] Conjunction of γ-rigid and γ-stable collective motions in the critical point of the phase transition from spherical to deformed nuclear shapes
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JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2015, 42 (08)
[30] Quasi-exactly solvable decatic model description of nuclei near the X(5) critical point
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