Bohr Hamiltonian with Davidson potential for triaxial nuclei

被引：59

作者：

Yigitoglu, I. ^{[1
]}

Bonatsos, Dennis ^{[2
]}

机构：

[1] Gaziosmanpasa Univ, Fac Sci & Arts, Dept Phys, TR-60240 Tokat, Turkey

[2] Demokritos Natl Ctr Sci Res, Inst Nucl Phys, GR-15310 Aghia Paraskevi, Attiki, Greece

来源：

PHYSICAL REVIEW C | 2011年 / 83卷 / 01期

关键词：

GROUND-STATE BANDS; PHASE-TRANSITIONS; EXCITATIONS;

D O I：

10.1103/PhysRevC.83.014303

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 solution of the Bohr Hamiltonian appropriate for triaxial shapes, involving a Davidson potential in beta and a steep harmonic oscillator in gamma, centered around. gamma = pi/6, is developed. Analytical expressions for spectra and B(E2) transition rates ranging from a triaxial vibrator to the rigid triaxial rotator are obtained and compared to experimental results. Using a variational procedure, we point out that the Z(5) solution, in which an infinite square well potential in beta is used, corresponds to the critical point of the shape phase transition from a triaxial vibrator to the rigid triaxial rotator.

引用

页数：8

共 44 条

[1]

[Anonymous], HDB MATH FUNCTIONS

[2] Phase diagram of the proton-neutron interacting boson model -: art. no. 212501 [J].

Arias, JM ;

García-Ramos, JE ;

Dukelsky, J .

PHYSICAL REVIEW LETTERS, 2004, 93 (21)

[3] U(5)-O(6) transition in the interacting boson model and the E(5) critical point symmetry -: art. no. 041302 [J].

Arias, JM ;

Alonso, CE ;

Vitturi, A ;

García-Ramos, JE ;

Dukelsky, J ;

Frank, A .

PHYSICAL REVIEW C, 2003, 68 (04) :413021-413024

[4]

Bohr A., 1952, KGL DANSKE VIDENSKAB, V26, P14

[5]

Bohr A., 1975, NUCLEAR STRUCTURE, V2

[6] E(5) and X(5) critical point symmetries obtained from Davidson potentials through a variational procedure [J].

Bonatsos, D ;

Lenis, D ;

Minkov, N ;

Petrellis, D ;

Raychev, PP ;

Terziev, PA .

PHYSICAL REVIEW C, 2004, 70 (02) :024305-1

[7] MICROSCOPIC CALCULATION OF THE OPTICAL-MODEL POTENTIAL FOR O-16 [J].

BONATSOS, D ;

MUTHER, H .

NUCLEAR PHYSICS A, 1989, 496 (01) :23-44

[8] Sequence of potentials lying between the U(5) and X(5) symmetries [J].

Bonatsos, D ;

Lenis, D ;

Minkov, N ;

Raychev, PP ;

Terziev, PA .

PHYSICAL REVIEW C, 2004, 69 (01) :11

[9] Sequence of potentials interpolating between the U(5) and E(5) symmetries [J].

Bonatsos, D ;

Lenis, D ;

Minkov, N ;

Raychev, PP ;

Terziev, PA .

PHYSICAL REVIEW C, 2004, 69 (04) :044316-1

[10] Z(5): critical point symmetry for the prolate to oblate nuclear shape phase transition [J].

Bonatsos, D ;

Lenis, D ;

Petrellis, D ;

Terziev, PA .

PHYSICS LETTERS B, 2004, 588 (3-4) :172-179

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