Nuclear matrix elements for exclusive neutrino-nucleus reactions

Abstract

The formalism describing (anti)neutrino-nucleus reaction cross-sections in neutral- and charged-current processes is improved. Compact formulae for the single-particle transition matrix elements, based on the multipole expansion treatment of the relevant hadronic currents and the use of harmonic oscillator basis, are presented. As an application, the nucleus ${}^{127}I$, a promising target for detection of solar- and supernova-neutrinos as well as of cold dark matter candidates, is considered. Our matrix elements refer to exclusive processes of the charge-changing ${}^{127}I({\nu }_l,l^{-}{)}^{127}X{e}^{\star }$ reaction and especially to the transition ${5/2}^{+}\to {3/2}^{+}$ leading from the ground state of ${}^{127}$I to the lowest excitation of ${}^{127}$Xe nucleus.

15 Latex pages, 4 Tables, 1 figure, 22 Refs., Part. Nucl. Lett., to appear