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.