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

@article{Frolov2015ThreeparticleIW,
title={Three-particle integrals with spherical Bessel and Neumann functions and photodetachment of the negatively charged hydrogen ions},
author={A. M. Frolov and D. Wardlaw},
journal={Journal of Mathematical Chemistry},
year={2015},
volume={53},
pages={1426-1444}
}

A few approaches are derived to calculate three-particle integrals which include spherical Bessel functions of the first and second kind, i.e., the $$j_{\ell }(V r)$$jℓ(Vr) and $$n_{\ell }(V r)$$nℓ(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 negatively charged hydrogen ions.