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

Authors
PUPYSHEV VV RAKITYANSKY SA
Citation
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
Citations number
10
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
Physics of atomic nuclei → ACNP
ISSN journal
10637788
Volume
56
Issue
7
Year of publication
1993
Pages
881 - 885
Database
ISI
SICI code
1063-7788(1993)56:7<881:SMFTOT>2.0.ZU;2-J
Abstract
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.