Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential

Abstract

In this paper, we present new analytical solutions of the Bohr Hamiltonian problem that we derived with the Tietz-Hua potential, here used for describing the β-part of the nuclear collective potential plus harmonic oscillator one for the γ-part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of β-potential with others which are widely used in such a framework as well as with the experiment. The calculations are carried out for energy spectra and electromagnetic transition probabilities for γ-unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the β-potential beyond its minimum on transition rates calculations.

arXiv comment27 pages, 4 figures, 4 tables

References in corpus (20)

• Solutions of the Bohr hamiltonian, a compendium
• Bohr Hamiltonian with deformation-dependent mass term for the Kratzer potential
• X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry
• Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential
• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Analytical solution for the Davydov-Chaban Hamiltonian with sextic potential for $\gamma =30^{\circ }$
• The sextic oscillator as a $\gamma$-independent potential
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Sextic potential for $\gamma$-rigid prolate nuclei
• Bohr Hamiltonian with Hulth?en plus Ring shaped potential for triaxial nuclei
• Application of the sextic oscillator with centrifugal barrier and the spheroidal equation for some X(5) candidate nuclei
• Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential
• Bohr Hamiltonian with deformation-dependent mass term
• Vibrational and rotational excited states within Bohr Hamiltonian with deformation-dependent mass formalism
• On γ-rigid regime of the Bohr-Mottelson Hamiltonian in the presence of a minimal length
• Exactly separable version of X(5) and related models
• Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model
• Description of the isotope chain ${}^{180-196}$Pt within some solvable approaches
• Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential
• New features of the triaxial nuclei described with a coherent state model

Cited by in corpus (4)

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• Calculations of the Decay Transitions of the Modified Poschl-Teller Potential Model via Bohr Hamiltonian Technique
• Triaxial nuclei and analytical solutions of the conformable fractional Bohr Hamiltonian with some exponential-type potentials
• Bohr Hamiltonian with Pöschl Teller potential in γ unstable and γ stable pictures