The sensitivity of the differential cross section of the interaction between
neutrino-electron with 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 non
strange 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 electromagnetic properties of neutrino on
the cross section become more significant for the neutrino magnetic moment
mu_nu > 10^{-10} mu_B and for the neutrino charge radius R > 10^{-5} MeV^{-1}.Comment: 24 pages, 10 figures, submitted to Physical Review