Structure of single-$\Lambda$ hypernuclei with chiral hyperon-nucleon potentials

Abstract

The structure of single-$\Lambda$ hypernuclei is studied using the chiral hyperon-nucleon potentials derived at leading order (LO) and next-to-leading order (NLO) by the Jülich--Bonn--Munich group. Results for the separation energies of $\Lambda$ single-particle states for various hypernuclei from ${}_{\Lambda }^5$He to ${}_{\Lambda }^{209}$Pb are presented for the LO interaction and the 2013 (NLO13) and 2019 (NLO19) versions of the NLO potentials. It is found that the results based on the LO potential show a clear tendency for overbinding while those for the NLO13 interaction underbind most of the considered hypernuclei. A qualitatively good agreement with the data is obtained for the NLO19 interaction over a fairly large range of mass number values when considering the uncertainty due to the regulator dependence. A small spin-orbit splitting of the $p$-, $d$-, $f$-, and $g$-wave states is predicted by all interactions, in line with the rather small values observed in pertinent experiments.

9 pages, 3 figures, 2 tables

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Cited by in corpus (10)

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• New effective interactions for hypernuclei in density dependent relativistic mean field model
• Impurity Lattice Monte Carlo for Hypernuclei
• Constraints from $\Lambda$ hypernuclei on the $\Lambda NN$ content of the $\Lambda$-nucleus potential
• Nuclear physics uncertainties in light hypernuclei
• Repulsive $\Lambda$ potentials in dense neutron star matter and binding energy of $\Lambda$ in hypernuclei
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• $\Lambda NN$ content of $\Lambda$-nucleus potential
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order