Understanding nuclear shape phase transitions at the nucleon level with a boson mapping approach

被引:13
作者
Hou, Zhan-feng [1 ,2 ]
Zhang, Yu [3 ]
Liu, Yu-xin [1 ,2 ,4 ]
机构
[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China
[3] Liaoning Normal Univ, Dept Phys, Dalian 116029, Peoples R China
[4] Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
基金
中国国家自然科学基金;
关键词
Nuclear shape phase transition; Shell model; Boson mapping; Pair interactions; Quadrupole interaction; PAIR SHELL-MODEL; COLLECTIVE MOTION; INTERACTING BOSONS; CLASSICAL LIMIT; CRITICAL-POINT; ATOMIC-NUCLEI; STATES; EVOLUTION; ISOTOPES; PHYSICS;
D O I
10.1016/j.physletb.2010.04.015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Implementing a shell model Hamiltonian with monopole-pair, quadrupole-pair and quadrupole-quadrupole interactions between nucleons, we study the shape phases of nuclei and their transitions, with the Dyson boson mapping approach. The investigation concentrates on the influence of each interaction on the nuclear shape phases. A correspondence between the strength of each of the interactions and the nuclear shape phases is obtained. The investigation also indicates that increasing the quadrupole-pair interaction strength can induce the vibrational to the axially prolate rotational shape phase transition and enhancing the quadrupole-quadrupole interaction can drive the phase transition from the axially oblate rotational to the axially prolate rotational, with the gamma-soft rotational being the critical point. (c) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:298 / 304
页数:7
相关论文
共 63 条
[1]   Critical-point symmetries in boson-fermion systems: The case of shape transitions in odd nuclei in a multiorbit model [J].
Alonso, C. E. ;
Arias, J. M. ;
Vitturi, A. .
PHYSICAL REVIEW LETTERS, 2007, 98 (05)
[2]  
Bes D.R., 1969, Advances in Nuclear Physics, V2, P129
[3]  
Bohr A., 1975, NUCL STRUCTURE, VII
[4]   Shape phase transitions and critical-point phenomena in atomic nuclei [J].
Casten, R. F. .
NATURE PHYSICS, 2006, 2 (12) :811-820
[5]   Quantum phase transitions and structural evolution in nuclei [J].
Casten, R. F. .
PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, VOL 62, NO 1, 2009, 62 (01) :183-209
[6]   Landau theory of shape phase transitions in the cranked interacting boson model [J].
Cejnar, P .
PHYSICAL REVIEW LETTERS, 2003, 90 (11) :4
[7]   Quantum phase transitions in the interacting boson model [J].
Cejnar, Pavel ;
Jolie, Jan .
PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, VOL 62, NO 1, 2009, 62 (01) :210-256
[8]   Nucleon-pair shell model: The effects of the SD pair structure on collectivity of low-lying states [J].
Chen, JQ ;
Luo, YA .
NUCLEAR PHYSICS A, 1998, 639 (3-4) :615-634
[9]   Nucleon-pair shell model: Formalism and special cases [J].
Chen, JQ .
NUCLEAR PHYSICS A, 1997, 626 (03) :686-714
[10]   Shape coexistence and triaxiality in the superheavy nuclei [J].
Cwiok, S ;
Heenen, PH ;
Nazarewicz, W .
NATURE, 2005, 433 (7027) :705-709