Mean field study of structural changes in Pt isotopes with the Gogny interaction

TL;DR

This study uses self-consistent Hartree-Fock-Bogoliubov calculations with Gogny interactions to analyze shape evolution in Pt isotopes, comparing different parametrizations to understand nuclear shape transitions.

Contribution

It provides a comparative analysis of shape predictions in Pt isotopes using D1S, D1N, and D1M Gogny interactions, highlighting the robustness of the results across different parametrizations.

Findings

Predominance of prolate, triaxial, oblate, and spherical shapes in Pt isotopes.

Predictions are consistent across different Gogny parametrizations.

Structural evolution linked to single particle energy variations.

Abstract

The evolution of the nuclear shapes along the triaxial landscape is studied in the Pt isotopic chain using the selfconsistent Hartree-Fock-Bogoliubov approximation based on the Gogny interaction. In addition to the parametrization D1S, the new incarnations D1N and D1M of this force are also included in our analysis to asses to which extent the predictions are independent of details of the effective interaction. The considered range of neutron numbers 88<N<26 includes prolate, triaxial, oblate and spherical ground state shapes and serves for a detailed comparison of the predictions obtained with the new sets D1N and D1M against the ones provided by the standard parametrization Gogny-D1S in a region of the nuclear landscape for which experimental and theoretical fingerprints of shape transitions have been found. Structural evolution along the Pt chain is discussed in terms of the deformation dependence of single particle energies.