Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential

被引：37

作者：

Capak, M. ^{[1
]}

Petrellis, D. ^{[2
]}

Gonul, B. ^{[1
]}

Bonatsos, Dennis ^{[3
]}

机构：

[1] Gaziantep Univ, Dept Engn Phys, TR-27310 Gaziantep, Turkey

[2] Istanbul Univ, Dept Phys, TR-34134 Istanbul, Turkey

[3] Natl Ctr Sci Res Demokritos, Inst Nucl & Particle Phys, GR-15310 Attiki, Greece

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2015年 / 42卷 / 09期

关键词：

Bohr Hamiltonian; Woods-Saxon potential; Pekeris approximation; QUANTUM PHASE-TRANSITIONS; GENERAL COLLECTIVE MODEL; PEKERIS APPROXIMATION; SCHRODINGER-EQUATION; LIMITING SYMMETRY; NUCLEI; STATES; VIBRATIONS; OS;

D O I：

10.1088/0954-3899/42/9/095102

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：

Approximate analytical solutions in closed form are obtained for the five-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly solvable one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison with the data for several gamma-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and gamma(1) bands of many prolate deformed nuclei corresponding to a large enough 'well size' and diffuseness, while it fails in describing the beta(1) bands, due to its lack of a hard core, as well as in describing gamma-unstable nuclei, because of the small 'well size' and diffuseness they exhibit.

引用

页数：24

共 50 条

[31] Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method
Hassanabadi, H.
Maghsoodi, E.
Zarrinkamar, S.
CHINESE PHYSICS C, 2013, 37 (11)
[32] α-decay calculations of superheavy nuclei with a folded Woods-Saxon potential
Lin, Z. J.
Pei, J. C.
Xu, F. R.
PHYSICA SCRIPTA, 2012, T150
[33] Solutions of Woods-Saxon Potential with Spin-Orbit and Centrifugal Terms through Nikiforov-Uvarov Method
Pahlavani, M. R.
Alavi, S. A.
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (05) : 739 - 743
[34] Determination of energy spectra by using proper quantization rule of woods-saxon potential
Rezaeizadeh, Rezvan
Zoghi Foumani, Niloufar
Ghasemizad, Abbas
Hancerliogullari, Aybaba
JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2021, 24 (03): : 1287 - 1293
[35] Distributions of the S-matrix poles in Woods-Saxon and cut-off Woods-Saxon potentials
Salamon, P.
Baran, A.
Vertse, T.
NUCLEAR PHYSICS A, 2016, 952 : 1 - 17
[36] Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential
Alpdogan, Soner
Havare, Ali
ADVANCES IN HIGH ENERGY PHYSICS, 2014, 2014
[37] Comment on:: "Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry"
Bíla, H
Jakubsky, V
Znojil, M
PHYSICS LETTERS A, 2006, 350 (5-6) : 421 - 424
[38] Soliton solutions of nonlinear Schrodinger equation with the variable coefficients under the influence of Woods-Saxon potential
Gu, Yongyi
Chen, Baixin
Ye, Feng
Aminakbari, Najva
RESULTS IN PHYSICS, 2022, 42
[39] An Analytical Solution Of The Time-Independent Schrodinger Equation For The Woods-Saxon Potential For Arbitrary Angular Momentum l States
Kumar, P. Rajesh
Wong, B. R.
NATIONAL PHYSICS CONFERENCE 2014 (PERFIK 2014), 2015, 1657
[40] The spinless relativistic Woods-Saxon problem
Lucha, Wolfgang
Schoeberl, Franz F.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (10):

← 1 2 3 4 5 →