Nuclear matrix elements for exclusive neutrino-nucleus reactions

Original · EN

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 ¹²⁷I, 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 ¹²⁷I(νₗ,l-)¹²⁷Xe⋆ reaction and especially to the transition 5/2+ → 3/2+ leading from the ground state of ¹²⁷I to the lowest excitation of ¹²⁷Xe nucleus.