Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential

TL;DR

This paper derives analytical wave functions for the Bohr Hamiltonian with Manning-Rosen potential and applies them to calculate B(E2) transition rates, showing good agreement with experimental data for various nuclei.

Contribution

It provides new analytical solutions for the Bohr Hamiltonian with Manning-Rosen potential and demonstrates their effectiveness in modeling nuclear transition rates.

Findings

Qualitative agreement with experimental B(E2) data

Manning-Rosen potential better suited than other potentials

Identification of phase transitions in ground state band

Abstract

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results we have obtained in a recent work on the same theme Ref. [1], we have calculated the B(E2) transition rates for 34 {\gamma}-unstable and 38 rotational nuclei and compared to experimental data, revealing a qualitative agreement with the experiment and phase transitions within the ground state band and showing also that the Manning-Rosen potential is more appropriate for such calculations than other potentials.