Generalised Bohr Hamiltonian for Gogny interactions

Abstract

Using a generalised Bohr Hamiltonian formalism together with the Gogny interaction to provide a microscopic input of the required mass parameters, we present the potential energy surface and the evolution of the first excited 2${}^{+}$ state for the gadolinium isotopic chain. We observe that the energies and electromagnetic transitions of low-lying states are fairly similar for the various parametrisations and are in good agreement with experimental data.

Comments: Presented at the XXXVIII Mazurian Lakes Conference on Physics, Piaski, Poland, August 31 --September 6, 2025