caa a22 4500 467910626 CHVBK 20180406152848.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s11232-006-0022-8 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0022-8 Il'in A. Institute for Nuclear Research, Kiev, Ukraine aut Analytic Representation of the Overlap Integral of Three Wave Functions of Nucleus Scattering in a Coulomb Field [Elektronische Daten] [A. Il'in] Based on the formalism of integral representations of hypergeometric-type functions, we find two ways to describe the Coulomb decay of light weakly bound atomic nuclei on heavy multiple-charge nuclei. In the first way, the overlap integral containing the product of three wave functions of scattering of nuclei in the Coulomb field is expanded into a double hypergeometric-type series in products of two Gauss hypergeometric functions. The series is convergent, at least if the three-particle kinematic relations are satisfied. In the second way, the same overlap integral reduces to a single contour integral containing the Gauss hypergeometric function and two additional binomial functions. Springer Science+Business Media, Inc., 2006 Coulomb decay nationallicence integral representations nationallicence contour integrals nationallicence hypergeometric functions nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/2(2006-02-01), 259-274 0040-5779 146:2<259 2006 146 11232 https://doi.org/10.1007/s11232-006-0022-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0022-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Il'in A. Institute for Nuclear Research, Kiev, Ukraine aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/2(2006-02-01), 259-274 0040-5779 146:2<259 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer