2020/10/10 by Emile Meoto, E F Meoto, Mantile Lekala +3
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.48550/arxiv.2010.05070
openalex publication_date 2020/10/10 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28
The primary goal of this paper is to demonstrate that inverse scattering theory is a viable method for the simulation of lambda-nucleon potentials in hypernuclear few-body studies. To this end, we investigate the hypertriton, modelled as a Λnp three-body system in the Jπ= 1/2+ and 3/2+ channels. This three-body problem is solved using a hyperspherical-harmonic expansion of the Faddeev equations. The Λp and Λn interactions are modelled by the GLM-YN0 potentials. These simulated potentials were recovered through Gel'fand--Levitan--Marchenko inverse scattering theory as phase-equivalent simulations of the NSC97f meson-exchange model. The neutron-proton interaction is described by the semi-realistic Malfliet--Tjon I/III potential, with both singlet and triplet channels retained. For the ground state (Jπ= 1/2+), we obtain a binding energy of -2.335~MeV, corresponding to a Λ separation energy of BΛ= +0.104~MeV relative to the Λ+ d breakup threshold. This value is comparable to those from lambda-nucleon potentials that are simulated through G-matrix methods. The excited Jπ= 3/2+ state is found to have a lambda separation energy of BΛ=-1.444 ~MeV relative to the Λ+ d breakup threshold, confirming that there is no bound excited hypertriton state.