Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions

TL;DR

This paper extends relativistic energy density functional theory to include symmetry restoration and collective fluctuations, solving a five-dimensional Hamiltonian for nuclear shape dynamics, and applies it to gadolinium isotopes.

Contribution

It introduces a new implementation for solving a 5D collective Hamiltonian based on relativistic mean-field calculations, enhancing the modeling of nuclear collective motions.

Findings

Accurate potential energy surfaces for gadolinium isotopes

Predicted excitation spectra match experimental data

Transition probabilities are reliably calculated

Abstract

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.