SEMIANALYTICAL METHOD FOR TREATMENT OF THE N-BODY PROBLEM WITH COMPLEX TOTAL-ENERGY WITHIN THE HYPERHARMONICS APPROACH

We develop the variable phase approach to analyze all the solutions of the N-body hyperradial equations. As a first result of this analysis, we display here how the usual cutoff of the long-range potential matr ix generates unphysical solutions. As an example of such solutions we present a set of unphysical three-neutron resonances. To overcome this peculiarity of the standard hyperharmonics approach we introduce a we ll-defined solution of the Jost-type and construct it at large hyperra dius analytically.