Λ hypernuclear potentials beyond linear density dependence

نویسندگان

چکیده

In a recent paper [PLB 837 (2023) 137669] we showed that all measured ($1s_\Lambda$, $1p_\Lambda$) pairs of $\Lambda$ binding energies in $\Lambda$-hypernuclei across the periodic table, $12\leq A \leq 208$, can be obtained from $\Lambda$-nucleus optical potential with only two adjustable $\Lambda N$ and NN$ parameters, associated leading linear quadratic terms nuclear density, derived by fitting $^{16}_{~\Lambda}$N energies. Here extend previous analysis performing least-squares fits to full set data points. Consequences suppressing interactions between `core' nucleons `excess' neutrons are studied related predictions made for $^{40,48}_{~~~~\Lambda}$K, obtainable upcoming $^{40,48}$Ca($e,e'K^+$) JLab experiments. We find partial depths $D^{(2)}_\Lambda = -38.6\pm 0.8$~MeV ($\Lambda N$) $D^{(3)}_\Lambda 11.3\pm 1.4$~MeV NN$), total depth $D_\Lambda -27.3\pm 0.6$~MeV at nuclear-matter density $\rho_0$=0.17~fm$^{-3}$, consistently our results. Extrapolation higher densities possible relevance `hyperon puzzle' neutron-star matter discussed.

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ژورنال

عنوان ژورنال: Nuclear Physics

سال: 2023

ISSN: ['1873-1554', '0375-9474']

DOI: https://doi.org/10.1016/j.nuclphysa.2023.122725