Effect of neutrino electromagnetic form factors on the neutrino cross section in dense matter

Abstract

The sensitivity of the differential cross section of the interaction between a neutrino-electron and dense matter to the possibly nonzero neutrino electromagnetic properties has been investigated. Here, the relativistic mean field model inspired by effective field theory has been used to describe nonstrange dense matter, both with and without the neutrino trapping. We have found that the cross section becomes more sensitive to the constituent distribution of the matter, once electromagnetic properties of the neutrino are taken into account. The effects of neutrino electromagnetic properties on the cross section become more significant for the neutrino magnetic moment ${\ensuremath{\mu}}_{\ensuremath{\nu}}>{10}^{\ensuremath{-}10}{\ensuremath{\mu}}_{B}$ and for the neutrino charge radius $R>{10}^{\ensuremath{-}5}\phantom{\rule{0.3em}{0ex}}{\mathrm{MeV}}^{\ensuremath{-}1}$.