The Plane Wave Expansion, Infinite Integrals and Identities involving Spherical Bessel Functions

Understand

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 identites 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