On {\gamma}-rigid regime of the Bohr-Mottelson Hamiltonian in the presence of a minimal length

TL;DR

This paper explores how a minimal length formalism affects the spectra of vibrational nuclei within a prolate { extgamma}-rigid Bohr-Mottelson model, showing qualitative agreement with experimental data.

Contribution

It introduces a minimal length approach into the { extgamma}-rigid Bohr-Mottelson Hamiltonian with an infinite well potential, providing new insights into nuclear spectra modeling.

Findings

Minimal length modifies energy spectra and wave functions.

Numerical results align qualitatively with experimental nuclear data.

Abstract

A prolate {\gamma}-rigid regime of the Bohr-Mottelson Hamiltonian within the minimal length formalism, involving an infinite square well like potential in {\beta} collective shape variable, is developed and used to describe the spectra of a variety of vibrational-like nuclei. The effect of the minimal length on the energy spectrum and the wave function is duly investigated. Numerical calculations are performed for some nuclei revealing a qualitative agreement with the available experimental data.