Construction of lambda-nucleon s-wave potential through quantum inverse scattering at fixed angular momentum

Abstract

Quantum systems with a strangeness degree of freedom are very important as they provide an extra dimension, and hence a deeper insight into nuclear matter. Usually phenomenological potentials obtained through meson exchange theories are used in investigating these hypernuclear systems. In this paper potentials for lambda-nucleon interactions in the spin singlet and spin triplet states, constructed through fixed-angular momentum inversion based on Marchenko theory, are presented. Owing to experimental difficulties in obtaining a sufficient number of lambda-nucleon scattering events, theoretical phase shifts are used as input for the inversion. The constructed potential is energy-independent, making it more suitable for quantum-mechanical few-body calculations.

Effective lambda-proton and lambda-neutron potentials from subthreshold inverse scattering

“…An explanation for this difference in strength between the S 1 0 and S 3 1 channels can only be provided by examining the strong force between the quark constituents of hyperons and nucleons. The short-range repulsion in the L ( ) N S 3 1 channels of these potentials is a correction on our earlier application of GLM theory to the lambda-nucleon force, presented in [59].…”