Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 12, Pages 5360-5365Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.12.004
Keywords
Plane wave expansion; Infinite integrals over spherical Bessel functions; Spherical Bessel function identities; Special functions; Nuclear reactions theory
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This paper shows that the plane wave expansion can be a useful tool in obtaining analytical solutions to infinite integrals over spherical Bessel functions and the derivation of identities for these functions. The integrals are often used in nuclear scattering calculations, where an analytical result can provide an insight into the reaction mechanism. A technique is developed whereby an integral over several special functions which cannot be found in any standard integral table can be broken down into integrals that have existing analytical solutions. (C) 2010 Elsevier Inc. All rights reserved.
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