Structure of $$^{128,129,130}$$Xe through multi-reference energy density functional calculations

Recently, values for the Kumar quadrupole deformation parameters of nucleus $$^{130}$$ Xe have been computed from results a Coulomb excitation experiment, indicating that this xenon isotope has prominent triaxial ground state. Within different context, it was recently argued analysis particle correlations in final states ultra-relativistic heavy-ion collisions performed at Large Hadron Collider (LHC) points to similar structure adjacent isotope, $$^{129}$$ Xe. In present work, we report on state-of-the-art multi-reference energy density functional calculations combine projection proton and neutron number as well angular momentum with shape mixing three isotopes $$^{128,129,130}$$ using Skyrme-type pseudo-potential SLyMR1. Exploring degree freedom, demonstrate all display very pronounced structure. Moreover, comparison experimental shows reproduce fairly low-energy spectrum two even-mass isotopes. By contrast, calculation reveals some deficiencies effective interaction.