Bohr Hamiltonian for γ=0° with Davidson potential

被引：0

作者：

Yigitoglu, Ibrahim ^{[1
]}

Gokbulut, Melek ^{[1
]}

机构：

[1] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Phys, TR-60250 Tokat, Turkey

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 08期

关键词：

GAMMA-RIGID VERSION; MEAN-FIELD THEORY; CRITICAL-POINT; MINIMAL LENGTH; NUCLEI; SYMMETRIES; VIBRATION; SPECTRA;

D O I：

10.1140/epjp/i2017-11609-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A gamma-rigid solution of the Bohr Hamiltonian is derived for gamma = 0 degrees utilizing the Davidson potential in the beta variable. This solution is going to be called X(3)-D. The energy eigenvalues and wave functions are obtained by using an analytic method which has been developed by Nikiforov and Uvarov. B(E2) transition rates are calculated. A variational procedure is applied to energy ratios to determine whether or not the X(3) model is located at the critical point between spherical and deformed nuclei. The agreement with the experiment is achieved.

引用

页数：10

共 50 条

[1] Davidson potential and SUSYQM in the Bohr Hamiltonian
Georgoudis, P. E.
[J]. LA RABIDA 2012 INTERNATIONAL SCIENTIFIC MEETING ON NUCLEAR PHYSICS: BASIC CONCEPTS IN NUCLEAR PHYSICS: THEORY, EXPERIMENTS, AND APPLICATIONS, 2013, 1541 : 148 - 149
[2] Bohr Hamiltonian for γ=30° with Davidson potential
Yigitoglu, Ibrahim
Gokbulut, Melek
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (03): : 1 - 12
[3] Bohr Hamiltonian with Davidson potential for triaxial nuclei
Yigitoglu, I.
Bonatsos, Dennis
[J]. PHYSICAL REVIEW C, 2011, 83 (01):
[4] Exactly separable version of the Bohr Hamiltonian with the Davidson potential
Bonatsos, Dennis
McCutchan, E. A.
Minkov, N.
Casten, R. F.
Yotov, P.
Lenis, D.
Petrellis, D.
Yigitoglu, I.
[J]. PHYSICAL REVIEW C, 2007, 76 (06):
[5] Bohr Hamiltonian with a deformation-dependent mass term for the Davidson potential
Bonatsos, Dennis
Georgoudis, P. E.
Lenis, D.
Minkov, N.
Quesne, C.
[J]. PHYSICAL REVIEW C, 2011, 83 (04):
[6] 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
[7] 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
[8] γ- rigid version of Bohr Hamiltonian with the modified Davidson potential in the position-dependent mass formalism
Hassanabadi, H.
Alimohammadi, M.
Zare, S.
[J]. MODERN PHYSICS LETTERS A, 2017, 32 (14)
[9] Investigation of energy and B(E2) transition rates for Bohr Hamiltonian with generalized Davidson potential
Hassanabadi, Hassan
Sobhani, Hadi
Ikot, Akpan Ndem
[J]. NUCLEAR PHYSICS A, 2017, 966 : 82 - 101
[10] Study of non-degenerate γ-unstable Bohr Hamiltonian considering deformation-dependent mass and Davidson potential
Sobhani, Hadi
Hassanabadi, Hassan
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (11):

← 1 2 3 4 5 →