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

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 ℓ ( V r ) and n ℓ ( V r ) functions. Such integrals are important in applications to various problems known in atomic and nuclear physics. In particul...

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Bibliographic Details
Published inJournal of mathematical chemistry Vol. 53; no. 6; pp. 1426 - 1444
Main Authors Frolov, Alexei M., Wardlaw, David M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2015
Subjects
Chemistry
Chemistry and Materials Science
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
Three-particle
Integrals
Bessel functions
Photodetachment
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Summary: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 ℓ ( V r ) and n ℓ ( 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.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-015-0497-3