We have studied single-$\mathrm{\Lambda }$ finite hypernuclear systems spanning from light to heavy masses, employing a new microscopic $\mathrm{\Lambda }N$ interaction derived from in-medium interactions within relativistic Brueckner-Hartree-Fock calculations using the leading-order covariant chiral hyperon-nucleon force. Without any adjustable parameters, we have successfully reproduced the experimental results for the single-$\mathrm{\Lambda }$ binding energies. Although some discrepancies persist in light hypernuclei, the overall calculated binding energies show excellent agreement with the experimental data, and outperform other microscopic interactions. This study further demonstrates the validity of the leading-order covariant chiral hyperon-nucleon potential and provides a practical set of microscopic interactions for the Skyrme-Hartree-Fock framework.

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• Hypernuclei & mesic nuclei
• Nuclear many-body theory