Vv. Pupyshev et Sa. Rakityansky, SEMIANALYTICAL METHOD FOR TREATMENT OF THE N-BODY PROBLEM WITH COMPLEX TOTAL-ENERGY WITHIN THE HYPERHARMONICS APPROACH, ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 348(3), 1994, pp. 227-232
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.