Quasielastic and inelastic neutrino reactions in $^{12}C$ at K2K energies

TL;DR

This paper investigates how the nuclear medium affects quasielastic and pion production in neutrino interactions with carbon-12 at energies relevant to K2K, comparing theoretical predictions with experimental data.

Contribution

It provides a detailed theoretical analysis of nuclear medium effects on neutrino-induced reactions in $^{12}C$, including comparisons with recent experimental results.

Findings

Nuclear medium significantly influences quasielastic and pion production cross sections.

Theoretical results align well with K2K experimental data.

Distributions of leptons and pions are characterized across energy ranges.

Abstract

In this paper, we present the results of a study made for the effect of nuclear medium in the charged current induced quasielastic lepton production(CCQE) and the incoherent and coherent one pion production (CC1$\pi^+$)processes from $^{12}C$ in the $\nu_\mu$ energy region of 0.4-3GeV. The theoretical results are compared with the recent experimental results for the ratio of charged current $\nu_\mu$ induced one pion production cross section to the quasielastic lepton production cross section reported by K2K collaboration. We also present the results for the angular and momentum distributions of leptons and pions produced in these processes.