Davydov-Chaban Hamiltonian with deformation-dependent mass term for {\gamma} = 30{\deg}

TL;DR

This paper introduces a modified Davydov-Chaban Hamiltonian with a deformation-dependent mass term, providing analytical solutions that better match experimental data for certain nuclei and predicting a new triaxial nucleus candidate.

Contribution

The paper develops an exact analytical solution for a deformation-dependent mass Davydov-Chaban Hamiltonian using the Davidson potential and AIM, improving agreement with experimental data.

Findings

Enhanced energy spectrum predictions for specific nuclei.

Reduction in the rate of increase of the moment of inertia with deformation.

Prediction of a new candidate nucleus for triaxial symmetry.

Abstract

Motivation : Several theoretical comparisons with experimental data have recently pointed out that the mass tensor of the collective Bohr Hamiltonian cannot be considered as a constant and should be taken as a function of the collective coordinates. Method : The Davydov-Chaban Hamiltonian, describing the collective motion of {\gamma}-rigid atomic nuclei, is modified by allowing the mass to depend on the nuclear deformation. Moreover, the eigenvalue problem for this Hamiltonian is solved for Davidson potential and {\gamma} = 30{\deg} involving an Asymptotic Iteration Method (AIM). The present model is conventionally called Z(4)-DDM-D (Deformation Dependent Mass with Davidson potential), in respect to the so called Z(4) model. Results : Exact analytical expressions are derived for energy spectra and normalized wave functions, for the present model. The obtained results show an overall agreement with the experimental data for 108-116Pd, 128-132Xe, 136;138Ce and 190-198Pt and an important improvement in respect to other models. Prediction of a new candidate nucleus for triaxial symmetry is made. Conclusion : The dependence of the mass on the deformation reduces the increase rate of the moment of inertia with deformation, removing a main drawback of the model and leading to an improved agreement with the corresponding experimental data.