Electric quadrupole transitions of the Bohr Hamiltonian with the Morse potential

TL;DR

This paper computes eigenfunctions of the Bohr Hamiltonian with Morse potential using AIM, calculates B(E2) transition rates, and compares them to experimental data, showing good overall agreement but some systematic discrepancies.

Contribution

It introduces the use of the Asymptotic Iteration Method for solving the Bohr Hamiltonian with Morse potential for different nuclear structures.

Findings

Good agreement for ground state band transitions

Systematic underprediction of interband transitions in gamma-unstable nuclei

Overprediction of interband transitions in rotational nuclei

Abstract

Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been obtained by using the Asymptotic Iteration Method (AIM) for both gamma-unstable and rotational structures. B(E2) transition rates have been calculated and compared to experimental data. Overall good agreement is obtained for transitions within the ground state band, while some interband transitions appear to be systematically underpredicted in gamma-unstable nuclei and overpredicted in rotational nuclei.