Vibrational and rotational excited states within Bohr Hamiltonian with deformation-dependent mass formalism

TL;DR

This paper refines the energy spectrum calculations of axially symmetric nuclei within the Bohr Hamiltonian by correcting previous inaccuracies and incorporating deformation-dependent mass formalism, highlighting the significance of the mass parameter.

Contribution

It provides corrected formulas for energy spectra and demonstrates the impact of deformation-dependent mass on nuclear excited state predictions.

Findings

Corrected energy spectrum formulas for axially symmetric nuclei.

Showed the importance of deformation-dependent mass parameter.

Improved numerical predictions compared to previous models.

Abstract

In a recent work (Phys.Rev.C84, 044321, 2011) M.J. Ermamatov and P.R. Fraser have studied rotational and vibrational excited states of axially symmetric nuclei within the Bohr Hamiltonian with different mass parameters. However, the energy formula that the authors have used contains some inaccuracies. So, the numerical results they obtained seem to be controversial. In this paper, we revisit all calculations related to this problem and determine the appropriate formula for the energy spectrum. Moreover, in order to improve such calculations, we reconsider this problem within the framework of the deformation dependent mass formalism. Also, unlike the work of Bonatsos et al. (Phys.Rev.C83, 044321, 2011) where the mass parameter has not been considered, we will show the importance of this parameter and its effect on numerical predictions.