Multipole decomposition of the cross section of the neutrino-lead scattering process Pb208(g.s.)(ν,ν′)Pb*208

Abstract

We calculate neutral-current contributions to the process $\ensuremath{\nu}+^{208}\mathrm{Pb}(\mathrm{g}.\mathrm{s})\ensuremath{\longrightarrow}{\ensuremath{\nu}}^{\ensuremath{'}}+^{208}\mathrm{Pb}^{*}$, for incoming neutrino energies up to 150 MeV. The spectrum of $^{208}\mathrm{Pb}$ is calculated by performing a diagonalization of the $\ensuremath{\delta}$-force interaction in the space of particle-hole pairs, both for neutrons and protons. We study the dependence of the cross section on the energy of the neutrino and present its multipole decomposition for normal and abnormal parity states. We compare our results to the estimate of neutral-current contributions by other authors, and to our previous results for the charged-current channel.