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

Abstract

Recently, values for the Kumar quadrupole deformation parameters of the nucleus ${}^{130}$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, ${}^{129}$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 ${}^{128,129,130}$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 ${}^{129}$Xe reveals some deficiencies of the effective interaction.

26 pages, 17 figures

References in corpus (13)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Particle-Number Projection and the Density Functional Theory
• The sign of the overlap of HFB wave functions
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Nuclear structure aspects of spin-independent WIMP scattering off xenon
• Symmetry conserving configuration mixing method with cranked states
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Measurement of the azimuthal anisotropy of charged-particle production in Xe+Xe collisions at $\sqrt{s_{\mathrm{NN}}}=5.44$ TeV with the ATLAS detector
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Linear response of homogeneous nuclear matter with energy density functionals
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional

Cited by in corpus (1)

• The shape of gold