Regular Article - Theoretical Physics
Structure of Xe through multi-reference energy density functional calculations
ESNT, IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
2 Departamento de Física Teórica, Universidad Autónoma de Madrid, 28049, Madrid, Spain
3 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
4 Université de Lyon, Institut de Physique des 2 Infinis de Lyon, IN2P3-CNRS-UCBL, 4 rue Enrico Fermi, 69622, Villeurbanne, France
Accepted: 9 September 2022
Published online: 29 September 2022
Recently, values for the Kumar quadrupole deformation parameters of the nucleus Xe have been computed from the results of a Coulomb excitation experiment, indicating that this xenon isotope has a prominent triaxial ground state. Within a different context, it was recently argued that the analysis of particle correlations in the final states of ultra-relativistic heavy-ion collisions performed at the Large Hadron Collider (LHC) points to a similar structure for the adjacent isotope, Xe. In the present work, we report on state-of-the-art multi-reference energy density functional calculations that combine projection on proton and neutron number as well as angular momentum with shape mixing for the three isotopes Xe using the Skyrme-type pseudo-potential SLyMR1. Exploring the triaxial degree of freedom, we demonstrate that the ground states of all three isotopes display a very pronounced triaxial structure. Moreover, comparison with experimental results shows that the calculations reproduce fairly well the low-energy excitation spectrum of the two even-mass isotopes. By contrast, the calculation of Xe reveals some deficiencies of the effective interaction.
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