Abstract
We have studied charged current ${\overline{\ensuremath{\nu}}}_{l}$ induced one pion production from $^{12}\mathrm{C}$ and $^{16}\mathrm{O}$ nuclear targets at MiniBooNE and atmospheric antineutrino energies. The calculations have been done for the incoherent pion production process as well as for the pions coming from the hyperons in the quasielastic production of $\ensuremath{\Lambda}$ and $\ensuremath{\Sigma}$. The calculations are done in the local density approximation. For the inelastic processes the calculations have been done in the $\ensuremath{\Delta}$ dominance model, and we take into account the effect of Pauli blocking, Fermi motion of the nucleon, and renormalization of $\ensuremath{\Delta}$ properties in the nuclear medium. The effect of final state interaction (FSI) of pions is also taken into account. For the hyperon production, the nuclear medium effects due to Fermi motion and FSI effects due to hyperon-nucleon scattering have been taken into account. These results may be quite useful in the analysis of SciBooNE, MicroBooNE, $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$, and ArgoNeuT experiments when the pion analysis is done by using antineutrino beams.
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