Analytical study of conformable fractional Bohr Hamiltonian with Kratzer potential

被引：19
作者：
Hammad, M. M. [1 ]
Yaqut, A. Sh [2 ]
Abdel-Khalek, M. A. [2 ]
Doma, S. B. [2 ]
机构：
[1] Damanhour Univ, Fac Sci, Dept Math, Abadiyyat Damanhur, Egypt
[2] Alexandria Univ, Fac Sci, Dept Math, Alexandria, Egypt
来源：
NUCLEAR PHYSICS A | 2021年 / 1015卷
关键词：
Bohr Hamiltonian; Triaxial nuclei; Z(5) critical point; Quantum shape phase transitions; Conformable fractional calculus; Nikiforov-Uvarov method; NUCLEAR-DATA SHEETS; CRITICAL-POINT SYMMETRY; MODEL DESCRIPTION; PROLATE; E(5);
D O I：
10.1016/j.nuclphysa.2021.122307
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 analytical solutions of the conformable fractional Bohr Hamiltonian appropriate for triaxial nuclei, involving the Kratzer potential in beta-part of the collective nuclear potential and the steep harmonic oscillator in gamma-part, are developed. The analytical expressions for energy spectra and wave functions are derived using a new algorithm of the conformable fractional Nikiforov-Uvarov method. The relationship between the conformable fractional spectra of the Kratzer potential and the spectrum of the Z(5) model is discussed. The evolution of the spectra in correspondence with the fractional derivative order and the potential parameters is investigated. The normalized calculated spectra and B(E2) transition rates are compared with the available experimental data and the existing theoretical predictions from various models. The predictions produced well the experimental data for Xe-120,126,128,(130), Pt-192,194,(196), and Pd-112,114,(116). (C) 2021 Elsevier B.V. All rights reserved.
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页数：18
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