Coordinate asymptotic behavior of the radial three-particle wave function for a bound state involving two charged particles

摘要

The asymptotic expression for the radial component of the wave function for a three-particle bound state involving two charged particles is derived in an explicit form. This expression contains a three-particle asymptotic normalization factor C(psi), where psi is a hyperangle in the six-dimensiorial space of intrinsic coordinates of the three-particle system. The resulting expressions are used to analyze the asymptotic behavior of the wave functions for the Be-9 nucleus that were calculated within the alpha + alpha + n three-particle model for various forms of the an potential. A comparison of the asymptotic expression derived here and the asymptotic expressions for model wave functions makes it possible to extract C(psi) values, which turned out to be sensitive to the form of an interaction. This permits deducing information about two-particle interaction from a comparison of the theoretical values of C(psi) with their phenomenological Counterparts found from an analysis of experimental differential cross sections for relevant nuclear reactions. (c) 2005 Pleiades Publishing, Inc.