Structure of multi- hypernuclei with a Skyrme-type interaction constrained by data on double- hypernuclei and neutron stars
arXiv:2607.26800
The paper studies how repulsive p‑wave and density‑dependent components of a Skyrme‑type ΛΛ interaction affect the structure of multi‑Λ hypernuclei, using spherical Hartree‑Fock calculations constrained by double‑Λ hypernuclei and neutron‑star data.
Abstract
We investigate multi- hypernuclear systems with Skyrme-type interactions constrained by the data on double- hypernuclei and neutron stars. The roles of the repulsive -wave and density-dependent terms in the interaction are examined by considering the homogeneous hyperonic matter around the normal density and finite multi- hypernuclei within the spherical Hartree-Fock approach. In homogeneous matter, the chemical potential and corresponding drip point depend strongly on the repulsive -wave term, while the effect of density-dependent term is relatively weak in the density range relevant to finite nuclei. In the multi- hypernuclei built on doubly closed stable cores from light to heavy systems, radius, separation energy and single-particle structure show a clear dependence on the repulsive -wave interaction, and this dependence becomes stronger as the number of hyperons increases. A second and distinct effect appears near the drip line: when the last occupied orbit approaches the continuum, the repulsive -wave term shifts the state upward and can produce a weakly bound state with an extended radial distribution. As a result, radius can increase rapidly near the threshold. This threshold effect should be distinguished from the moderate enhancement of the dependence on -wave interaction with increasing number of hyperons. These results indicate that the multi- hypernuclei are particularly useful for isolating the role of -wave interacion around the normal density, whereas the density-dependent term is expected to be more important interaction in the high-density domain relevant to neutron stars.
10 pages, 9 figures