  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 the negatively charged hydrogen ions.
