Tree-particle integrals with spherical Bessel and Neumann functions

Abstract

A few approaches are derived to calculate three-particle integrals which include spherical Bessel functions of the first and second kind, i.e., the $j_{\ell }(Vr)$ and $n_{\ell }(Vr)$ functions. Such integrals are important in applications to various problems known in atomic and nuclear physics. In particular, these integrals are needed in accurate computations of the photodetachment cross-section(s) of the negatively charged hydrogen ions.

This paper has been withdrawn by the author, since the new and more effective approach has been developed