Study of Second-class Currents in Radiative Quasi-elastic Neutrino and Antineutrino Scattering on Atomic Nuclei
CHINA ADAMOU Hachimou *
Department of Nuclear Physics and Chemistry, Institute of Radioisotopes, Abdou Moumouni University, PO. Box 10727 Niamey, Niger.
OUSMANE MANGA Adamou
Department of Physics, Faculty of Sciences and Techniques, Abdou Moumouni University, PO. Box 10662, Niamey, Niger.
*Author to whom correspondence should be addressed.
Abstract
This paper examines the influence of the FT form factor, associated with second-class tensor currents (SCCs), in the quasi-elastic radiative scattering of neutrinos on carbon-12(12C). A general expression for the cross-section is derived via a multipole decomposition of the hadronic currents, taking into account the circular polarization of the emitted photons. The study focuses on the impact of FT on three sensitive observables: charge asymmetry, angular correlation and triple correlation. Numerical results show that FT can produce significant effects, particularly at low angles and for an incident energy of 300 MeV. For example, with FT = 5 × 10−3 MeV−1, contributions can reach 67% for charge asymmetry, 31% for angular correlation, and 1% for triple correlation at 10o. These results suggest that precise measurements under these conditions could experimentally reveal the existence of SCCs.
Keywords: Second-class current, charge asymmetry coefficient, correlation coefficient, triple correlation, neutrino scattering, charged current