Spectral points of the hypernuclear systems AAn and Ann

Abstract

Three-body hypernuclear nn and n systems are studied within the hyperspherical approach framework with local two-body S-wave potentials describing the nn, n and interactions using the Jost functions method. The bound states for these three-body systems nn and n were sought as zeros of the corresponding three-body Jost function on the complex energy plane. Hypercentral potentials for corresponding systems are constructed from the known two-body potentials. Recent experiments indicated the possibility of a weakly bound state of the two-body system n. Taking this into account, we adjusted the npotential and looked at the corresponding changes in the spectra of the three-body systems nn and n. It was found that with the adjusted n-potential, a weakly bound state nn and n is possible.