Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality

TL;DR

This paper uses exact numerical diagonalization of the Bohr Hamiltonian to study gamma softness and triaxiality in well-deformed rotor nuclei, revealing how dynamical gamma deformation affects excitation predictions.

Contribution

It introduces a precise numerical approach to analyze gamma softness and triaxiality effects in the Bohr model for nuclei.

Findings

Dynamical gamma deformation significantly influences excitation spectra.

Signatures of the onset of rigid triaxial deformation are identified.

Exact diagonalization provides detailed predictions for phonon excitations.

Abstract

Detailed quantitative predictions are obtained for phonon and multiphonon excitations in well-deformed rotor nuclei within the geometric framework, by exact numerical diagonalization of the Bohr Hamiltonian in an SO(5) basis. Dynamical gamma deformation is found to significantly influence the predictions through its coupling to the rotational motion. Basic signatures for the onset of rigid triaxial deformation are also obtained.