No abstract

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.

We apply the generator coordinate method in a fully microscopic calculation of the E2 decay lifetime of the shape isomeric states of 236 U, 238 U, and 240 Pu. The basis states have been generated by constrained Hartree-Fock Bardeen-Cooper-Schrieffer calculations with the SkM * force. Triaxial quadrupole deformations have been included. Implications upon the decay lifetime of the quasidegeneracy of the isomeric state and the one-phonon excitation in the first well are examined. ͓S0556-2813͑96͒03810-1͔