Three-particle integrals with spherical Bessel and Neumann functions and photodetachment of the negatively charged hydrogen ions

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 \(j_{\ell }(V r)\) and \(n_{\ell }(V r)\) 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 negatively charged hydrogen ions.