3-PARTICLE COULOMB ON-SHELL VERTEX FUNCTIONS - BEHAVIOR OF THE AMPLITUDE FOR SIMULTANEOUS TRANSFER OF 2 CHARGED-PARTICLES IN THE VICINITY OF THE NEAREST SINGULARITY IN COS-THETA

Citation
Am. Mukhamedzhanov et al., 3-PARTICLE COULOMB ON-SHELL VERTEX FUNCTIONS - BEHAVIOR OF THE AMPLITUDE FOR SIMULTANEOUS TRANSFER OF 2 CHARGED-PARTICLES IN THE VICINITY OF THE NEAREST SINGULARITY IN COS-THETA, Theoretical and mathematical physics, 94(3), 1993, pp. 315-324
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
94
Issue
3
Year of publication
1993
Pages
315 - 324
Database
ISI
SICI code
0040-5779(1993)94:3<315:3COVF->2.0.ZU;2-9
Abstract
The connection between the on-shell vertex function (OSVF) and the asy mptotic normalized coefficient of the three-particle wave function of the bound system in the configuration space is found. The explicit for m of the leading singular term of the OSVF and its Faddeev component f or decay of the three-particle bound state into three charged particle s is established. An expression is found for the leading singular term of the exact (in the model of four charged particles) amplitude of su b-Coulomb binary reactions in the vicinity of the nearest singularity.