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

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