Charged lepton production from iron induced by atmospheric neutrinos

Abstract

The charged current lepton production induced by neutrinos in 56 F e nuclei has been studied. The calculations have been done for the quasielastic as well as the inelastic reactions assuming ∆ dominance and take into account the effect of Pauli blocking, Fermi motion and the renormalization of weak transition strengths in the nuclear medium. The quasielastic production cross section for lepton production are found to be strongly reduced due to nuclear effects while there is about 10% reduction in the inelastic cross sections in the absence of the final state interactions of the pions. The numerical results for the momentum and angular distributions of the leptons averaged over the various atmospheric neutrino spectra at the Soudan and Gransasso sites have been presented. The effect of nuclear model dependence and the atmospheric flux dependence on the relative yield of µ to e has been studied and discussed.PACS numbers: 25.30Pt neutrino scattering -13.15.+g Neutrino interactions -23.40.Bw Weak-interaction and lepton (including neutrino) aspects -21.60.Jz Hartee-Fock and random-phase approximations

Weak pion production off the nucleon

“…7 point out to the existence of non-trivial relative phases (and not merely minus signs) between vector and axial resonant and non resonant contributions and/or more likely that some nuclear medium effects were not properly discounted [44] in Ref. [39], when providing cross sections off the nucleon from measurements obtained in the liquid bubble chamber Gargamelle that was filled with propane and a small admixture of heavy freon CF 3 Br.…”

Charged current antineutrino reactions fromC12at MiniBooNE energies

“…[18]- [27]. Recently many calculations have been done for these processes in order to better understand the nuclear model dependencies of these cross sections [28]- [32]. However, these calculations are applied mainly to study the neutrino reactions and not much attention has been given to the anti-neutrino reactions.…”

“…In the case of inelastic reactions, we study the inelastic lepton production as well as the coherent and the incoherent production of pions. The matrix elements for the quasielastic and the inelastic reactions from free nucleons are written in the standard model using the transition form factors which are determined from the analysis of experimental data available from the electron and neutrino scattering experiments from nucleon and deuteron targets in the relevant energy region [28]. Nuclear effects, like Pauli blocking, Fermi motion etc.of initial nucleon(and also final nucleon in the case of quasielastic reactions) are taken into account in the local density approximation [19], [40].…”

Weak charged and neutral current induced one pion production off the nucleon

“…The early calculations were based on dynamical models using dispersion theory or quark models or an effective Lagrangian field theory [33][34][35][36][37][38] and a comprehensive summary has been given by C. H. Llewellyn Smith [39]. Since then calculations have been made either by using quark models [40][41][42][43][44][45] or dynamical models [46][47][48], but most of the recent calculations have been done using effective Lagrangian field theory [49][50][51][52][53][54], where the calculations are performed using a ∆(1232) dominance model to successfully explain the experimental data on ν µ p → µ − pπ + channel by fitting the N − ∆ transition form factors. These form factors are found to be consistent with the predictions of the hypothesis of conserved vector current(CVC) and partial conservation of axial vector current(PCAC).…”