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Nuclear matrix elements for exclusive neutrino-nucleus reactions

V. Ch. Chasioti·T. S. Kosmas
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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 $^{127}I(ν_l,l^-)^{127}Xe^{\star}$ 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.

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V. Ch. Chasioti, T. S. Kosmas. 2002-02-20. Nuclear matrix elements for exclusive neutrino-nucleus reactions. https://arxiv.org/abs/nucl-th/0202062

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