Potentials are constructed for the lambda-nucleon interaction in the S 1 0 and S 3 1 channels. These potentials are recovered from scattering phases below the inelastic threshold through Gel'fand-Levitan-Marchenko theory. Experimental data with good statistics is not available for lambda-nucleon scattering. This leaves theoretical scattering phases as the only option through which the rigorous theory of quantum inverse scattering can be used in probing the lambda-nucleon force. Using rational-function interpolations on the theoretical scattering data, the kernels of the Gel'fand-Levitan-Marchenko integral equation become degenerate, resulting in a closed-form solution. The new potentials restored, which are shown to be unique through the Levinson theorem, bear the expected features of short-range repulsion and intermediate-range attraction. Charge symmetry breaking, which is perceptible in the scattering phases, is preserved in the new potentials. The lambdanucleon force in the S 1 0 channel is observed to be stronger than in the S 3 1 channel, as expected. In addition, the potentials bear certain distinctive features whose effects on hypernuclear systems can be explored through Schrödinger calculations.

Effective lambda-proton and lambda-neutron potentials, restored from theoretical scattering phases through Gel’fand–Levitan–Marchenko theory, are tested on a lambda hypertriton through three-body calculations. The lambda hypertriton is treated as a three-body system consisting of lambda-proton, lambda-neutron and proton–neutron subsystems. Binding energy and root mean square radius are computed for the ground state of lambda hypertriton ( ). In coordinate space, the dynamics of the system is described using a set of coupled hyperradial equations obtained from the differential Faddeev equations. By solving the eigenvalue problem derived from this set of coupled hyperradial equations, the binding energy and root mean square matter radius computed are found to be −2.462 MeV and 7.00 fm, respectively. The potentials are also shown to display a satisfactory convergence behaviour.

In a hypernuclear atom one or more hyperons are present in the nucleus, in addition to nucleons. The atomic properties of such exotic systems have not been rigorously studied contrary to their nuclear properties. The presence of a hyperon inside the nucleus modifies the nuclear charge, mass and strangeness. This results in changes in the electromagnetic interaction between the nucleus and its electrons, and consequently on the spectral lines of the atom. For a few helium-like hypernuclear atoms we calculate the binding energies of the ground state, treating the atom as a three-body system. The nonrelativistic Schrödinger equation is solved for the three-body Coulombic system consisting of the finite-mass nucleus and its two electrons. We measure the effect of hyperon charge on the binding energy and electronic correlation. Quantum effects of the motion of the nucleus are taken into account in these calculations.

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.

Two-neutron drip lines of a few single lambda hypernuclei are studied through a phenomenological binding energy model. This model, which is built from the Bethe-Weizs\"{a}cker formula, explicitly takes into account hyperon mass and strangeness. For the hypernuclear isotopic chains of the elements C - Mn, the heaviest isotope in each chain that is stable with respect to two-neutron decay is located.