CC1${\pi }^{+}$ to CCQE cross sections ratio at accelerator energies

Abstract

MiniBooNE and K2K collaborations have recently reported the ratio for the ${\nu }_{\mu }$ induced charge current 1${\pi }^{+}$ production cross section to the charged current induced quasielastic lepton production cross section i.e. $R(E)=\frac{{\sigma }^{CC1{\pi }^{+}}}{{\sigma }^{CCQE}}$. In this paper we study, theoretically, in a local density approximation the effect of nuclear medium in charged current quasielastic(CCQE) and charged current one pion production(CC1${\pi }^{+}$) processes for the ${\nu }_{\mu }$ induced reaction in nuclei. The theoretical results have been compared with the results of experimental observations by the MiniBooNE and K2K collaborations. The ratio R(E) for ${\nu }_{\mu }$ induced reaction in water for the proposed T2K experiment is also presented.

18 pages, 5 figures, J. of Phys. G (in Press)

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