Vv. Pupyshev et Sa. Rakityansky, SEMIANALYTICAL METHOD FOR TREATMENT OF THE N-BODY PROBLEM WITH COMPLEX TOTAL-ENERGY IN THE HYPERHARMONICS APPROACH, Physics of atomic nuclei, 56(7), 1993, pp. 881-885
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 like the revealed artificial 3-neutr
on resonances. To overcome this peculiarity of the standard hyperharmo
nics approach we introduce a well-defined solution of the Jost type an
d construct it at large hyperradius analytically.