Speaker
Description
This work is a sequel to our two publications from 2023 (1,2) where
     14 experimental 1s and 1p single-particle binding energies of $\Lambda$ in
     hypernuclei led to a quite well-defined optical potential for the
     $\Lambda$-nucleus interaction. The potential contains a traditional
     linear density term and a quadratic density term, the latter representing
     $\Lambda NN$ interaction, within an approach based on a simplest possible
     formulation. The present work reports on extending the above analysis to
     21 data points input, including also 1d and 1f states in medium-weight
     and heavy hypernuclei. The upgraded results agree, within errors, with the
     earlier results and could indicate a direction towards solving the so-called
     hyperon puzzle in the core of neutron stars (3).  We show that a need to
     suppress the $\Lambda NN$ interaction involving an excess neutron and
     a core nucleon can be tested with a forthcoming experiment at JLab.
 (1) E. Friedman, A. Gal, Phys. Lett. B 837 (2023) 137669.
 (2) E. Friedman, A. Gal, Nucl. Phys. A 1039 (2023) 122725.
 (3) D. Gerstung, N. Kaiser, W. Weise, Eur. Phys. J. A 56 (2020) 175.