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$$\Lambda \Lambda $$ interaction in multi- $$\Lambda $$ hypernuclei of O and Ca isotopes
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DOI：10.1140/epja/s10050-025-01757-5.png)
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Abstract
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Taking the stable and neutron-rich oxygen and calcium isotopes as cores, we investigate the structure of multi- $$\Lambda $$ hypernuclei with the Skyrme Hartree–Fock–Bogoliubov model. So far, the observed rare double- $$\Lambda $$ hypernuclei events can only provide information for the S-wave $$\Lambda \Lambda $$ interaction, but not for the P-wave. Therefore, in this paper we perform several trials of the strength of P-wave $$\Lambda \Lambda $$ interaction, and discuss its effect on the properties for the multi- $$\Lambda $$ hypernuclei. We find that different strengths of P-wave interaction will influence the $$\Lambda $$ hyperon drip line in the neutron-rich hypernuclei, but not much in the hypernuclei with a stable core. The diffused $$\Lambda $$ hyperon mean-field potential in the neutron-rich core makes the single $$\Lambda $$ orbits more bound than in the stable core. Thus, the $$\Lambda $$ continuum states are easier to be pulled down to be weakly bound states with attractive P-wave interaction strength as more $$\Lambda $$ hyperons are added.
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