Charged current anti-neutrino reactions from ¹²C at MiniBooNE energies

A study of charged current induced anti-neutrino interactions from nuclei has been done for the intermediate energy ($<2$GeV) anti-neutrinos and applied to $^{12}$C, relevant for ongoing experiment by MiniBooNE collaboration. The calculations have been done for the quasielastic and inelastic lepton production as well as for the incoherent and the coherent pion production processes. The calculations are done in local density approximation. In the case of the quasielastic reaction the effects of Pauli blocking, Fermi motion effects, renormalization of weak transition strengths in nuclear medium and the Coulomb distortion of the outgoing lepton have been taken into account. For the inelastic processes the calculations have been done in the $\Delta$ dominance model and take into account the effect of Pauli blocking, Fermi motion of the nucleon and renormalization of $\Delta$ properties in a nuclear medium. The effect of final state interactions of pions is also taken into account. The numerical results for the total cross sections for the charged current quasielastic scattering and incoherent pion production processes are compared with earlier experimental results available in Freon and Freon-Propane. It is found that nuclear medium effects give strong reduction in the cross sections leading to satisfactory agreement with the available data.