Neutrino Scattering Cross Section in Supernova Simulation for Even-Even 48,54Cr and 56-60Fe nuclei

In this work the rotational invariant QRPA formalism developed in Ref. has tested with respect to their ability to describe the magnetic dipole response at energies up 20 MeV in iron region nuclei. We have calculated the neutral-current neutrino-nucleus induced scattering cross sections for the even-even deformed 48,54Cr and 56-60Fe nuclei. The total cross sections are evaluated with supernova neutrino spectra as normalized Fermi-Dirac-like distributions. The resulting temperature distribution of cross section up to 10 MeV (1.16 1011K) is compared to interacting shell-model and precision M1 data approximation calculations at the finite-temperature conditions in a supernova. The calculations show strong decreasing cross sections for relevant temperature at low neutrino energies. This suggests that the supposition of the ref. 'all M1 dipole excitations were of spin character' can not be generalized for low energy neutrinos where spin matrix elements strongly suppressed and orbital matrix elements dominate in B(M1) strength