2026/07/29 by Yusuke Tanimura, Chang Ho Hyun, Myung-Ki Cheoun
Physics and Astronomy · #nucl-th
10 pages, 9 figures
arxiv created 2026/07/29 · arxiv updated 2026/07/30
We investigate multi-Λ hypernuclear systems with Skyrme-type ΛΛ interactions constrained by the data on double-Λ hypernuclei and neutron stars. The roles of the repulsive p-wave and density-dependent terms in the ΛΛ interaction are examined by considering the homogeneous hyperonic matter around the normal density and finite multi-Λ hypernuclei within the spherical Hartree-Fock approach. In homogeneous matter, the Λ chemical potential and corresponding Λ drip point depend strongly on the repulsive p-wave term, while the effect of density-dependent term is relatively weak in the density range relevant to finite nuclei. In the multi-Λ hypernuclei built on doubly closed stable cores from light to heavy systems, Λ radius, separation energy and single-particle structure show a clear dependence on the repulsive p-wave interaction, and this dependence becomes stronger as the number of Λ hyperons increases. A second and distinct effect appears near the Λ drip line: when the last occupied Λ orbit approaches the continuum, the repulsive p-wave term shifts the state upward and can produce a weakly bound state with an extended radial distribution. As a result, Λ radius can increase rapidly near the threshold. This threshold effect should be distinguished from the moderate enhancement of the dependence on p-wave interaction with increasing number of Λ hyperons. These results indicate that the multi-Λ hypernuclei are particularly useful for isolating the role of p-wave ΛΛ 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.