New analytic solutions of the collective Bohr Hamiltonian for a β-soft, γ-soft axial rotor

被引：64

作者：

Fortunato, L

Vitturi, A

机构：

[1] Dipartimento Fis G Galilei, I-35131 Padua, Italy

[2] Ist Nazl Fis Nucl, I-35131 Padua, Italy

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2004年 / 30卷 / 05期

关键词：

D O I：

10.1088/0954-3899/30/5/006

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：

New analytic solutions of the quadrupole collective Bohr Hamiltonian are proposed, exploiting an approximate separation of the beta and gamma variables to describe gamma-soft prolate axial rotors. The model potential is a sum of two terms: a beta-dependent term taken either with a Coulomb-like or a Kratzer-like form, and a gamma-dependent term taken as a harmonic oscillator. In particular, it is possible to give a one-parameter paradigm for a beta-soft, gamma-soft axial rotor that can be applied, with considerable agreement, to the spectrum of U-234.

引用

页码：627 / 635

页数：9

共 42 条

[1] Analytical solutions of Bohr collective Hamiltonian with γ-instability
Fortunato, L
Vitturi, A
[J]. SYMMETRIES IN NUCLEAR STRUCTURE: AN OCCASION TO CELEBRATE THE 60TH BIRTHDAY OF FRANCESCO IACHELLO, 2004, 24 : 217 - 222
[2] Solution of the Bohr Hamiltonian for soft triaxial nuclei
Fortunato, L.
De Baerdemacker, S.
Heyde, K.
[J]. PHYSICAL REVIEW C, 2006, 74 (01):
[3] Solution of the Bohr Hamiltonian with the Davidson Potential for a Soft Triaxial Shape around γ = π/6 in Nuclei
Lee, J. H.
[J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2013, 63 (10) : 1907 - 1912
[4] Solution of the Bohr Hamiltonian with the Davidson potential for a soft triaxial shape around γ = π/6 in nuclei
J. H. Lee
[J]. Journal of the Korean Physical Society, 2013, 63 : 1907 - 1912
[5] Analytic X(5)-to-rigid rotor transition in the confined β-soft rotor model
Pietralla, N
Gorbachenko, OM
[J]. NUCLEAR PHYSICS, LARGE AND SMALL, 2004, 726 : 133 - 138
[6] Comparison of the confined β-soft rotor model and a microscopic collective Hamiltonian based on the relativistic mean field model in 150,152Nd
Krugmann, A.
Li, Z. P.
Meng, J.
Pietralla, N.
Vretenar, D.
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2011, 38 (06)
[7] A NEW LOOK AT SOFT LENSES AND THEIR SOLUTIONS
KREZANOSKI, JZ
[J]. AMERICAN PHARMACY, 1981, 21 (05): : 12 - 19
[8] Analytic solutions and Darboux transformation to a new Hamiltonian lattice hierarchy
Tian, Shou-Fu
Zhou, Fu-Bao
Zhou, Sheng-Wu
Zhang, Tian-Tian
[J]. MODERN PHYSICS LETTERS B, 2016, 30 (08):
[9] Phase transitions and quasidynamical symmetry in nuclear collective models. II. The spherical vibrator to gamma-soft rotor transition in an SO(5)-invariant Bohr model
Turner, PS
Rowe, DJ
[J]. NUCLEAR PHYSICS A, 2005, 756 (3-4) : 333 - 355
[10] Notes on "Analytic solutions and Darboux transformation to a new Hamiltonian lattice hierarchy"
Xu, Xi-Xiang
[J]. MODERN PHYSICS LETTERS B, 2016, 30 (30):

← 1 2 3 4 5 →