[en] The calculations for the neutrino absorption cross sections for supernova neutrinos in ⁴⁰Ar have been done in the local density approximation (LDA) taking into account Pauli blocking and Fermi motion effects. The renormalization of weak transition strengths in the nuclear medium and the effect of Coulomb distortion of the lepton produced in charged current reactions are taken into account. The expected event rates for electrons (positrons) have been calculated for a 3 kT liquid argon detector for a supernova occurring at 10 kpc from earth

[en] Nuclear effects in the quasielastic and inelastic scattering of neutrinos(antineutrinos) from nuclear targets have been studied. The calculations are done in the local density approximation which take into account the effect of nucleon motion as well as renormalisation of weak transition strengths in the nuclear medium. The inelastic reaction leading to production of pions is calculated in a Δ dominance model taking into account the renormalization of Δ properties in the nuclear medium

[en] In this work, we study the neutrino and antineutrino induced meson (π, η, and K) production from the free nucleon as well as from the nuclear targets like carbon, argon, lead, etc. The meson production processes are dominated by the resonance excitations except in the threshold energy region where the non-resonant Born diagrams contribute significantly. In the numerical calculations, we have considered the different nucleon and delta resonances available in the PDG with 4-star rating and significant branching ratio to Nπ, Nη, and YK (Y = Λ, Σ) decay modes. The non-resonant Born terms are determined using the non-linear sigma model involving the lowest lying baryons and mesons. (author)

[en] The coherent pion production induced by neutrinos in nuclei is studied using a delta hole model in the local density approximation taking into account the renormalization of Δ properties in a nuclear medium. The pion absorption effects are included in an eikonal approximation. These effects give a large reduction in the total cross section. The numerical results for the total cross section are found to be consistent with recent experimental results from the K2K and MiniBooNE Collaborations and other older experiments in the intermediate energy region

[en] The calculations for the neutrino absorption cross sections for supernova neutrinos in ⁵⁶Fe have been done in the local density approximation (LDA) taking into account Pauli blocking and Fermi motion effects. The renormalization of weak transition strengths in the nuclear medium and the effect of Coulomb distortion of the final lepton are taken into account. The numerical results for the cross sections averaged over the Michel spectrum of neutrinos and various supernova neutrino spectra are presented and compared with other theoretical results

[en] JLab has recently measured F_1 (x) and F_2 (x) structure functions separately as well as studied the difference F_2 (x) - 2 xF_1 (x) (Callan-Gross relation) using electron-nucleus deep inelastic scattering (DIS) in the energy region of 2-6 GeV of the electron beam. Theoretically, it is important to understand nuclear medium effects for a fundamental process eN → eX (N is the nucleon and X is jet of hadrons) taking place with a nucleon bound inside the nucleus. Generally, nuclear medium effects in the DIS region are understood due to shadowing and antishadowing effects, mesonic cloud contributions, Fermi motion and binding energy etc. In the present paper we have studied nuclear medium effects in microscopic model using relativistic nucleon spectral function to describe nucleon momentum distribution. The Fermi motion, binding energy effect and nucleon-nucleon correlations are taken into account using spectral functions. The spectral functions that describe energy and momentum distribution of nucleon is obtained by using the Lehmann's representation for the relativistic nucleon propagator and nuclear many body theory is used to calculate it for an interacting Fermi sea in nuclear matter. A local density approximation is then applied to translate these results to a finite nucleus. We have taken into account pion and rho mesons cloud contributions which are found to have important contribution in the intermediate region of Bjorken variable x. Furthermore, shadowing and antishadowing effects are also taken into account using phenomenological model of Kulagin and Petti. Numerical evaluation have been performed both at the leading order (LO) and next-to-leading order (NLO)

[en] Phenomenologically, in the case of deep inelastic scattering (DIS) process the nuclear medium effects for the electromagnetic and weak interactions are taken to be the same by the group of Paukkunen and Salgado while nCTEQ group found them to be different. Since for weak interaction both the vector and axial vector currents contribute unlike the case of electro-magnetic interaction, therefore, the nuclear medium effects in the case of weak interaction should be different than the electromagnetic interaction. Hence, it is required to properly understand the free nucleon structure functions before moving to their modifications in the nuclear medium. In this paper, we study the free nucleon structure functions for the lepton-nucleon DIS process, in the wide range of x and Q² ≥ 1 GeV²

[en] We calculate cross sections for the neutral current induced neutrino/antineutrino reaction from ²⁰⁸Pb target and applied it to study Supernova neutrino event rates. The calculations are done in local density approximation taking into account Pauli blocking, Fermi motion effects and renormalization of weak transition strengths in the nuclear medium. The numerical results for the neutrino nucleus total cross sections have been averaged over the various Supernova neutrino/antineutrino fluxes available in literature.

[en] We have studied the total cross section, Q², momentum and angular distributions for pions in the ν(ν) induced π⁰ production from nucleons. The calculations have been done for the weak production induced by the neutral current in the standard model and the electromagnetic production induced by neutrino magnetic moment. It has been found that with the present experimental limits on the muon neutrino magnetic moment μ_νμ, the electromagnetic contribution to the cross section for the π⁰ production is small. The neutrino induced neutral current production of π⁰, while giving an alternative method to study the magnetic moment of neutrino μ_νμ, does not provide any improvement over the present experimental limit on μ_νμ from the observation of this process in future experiments at T2K and NOνA.

[en] We have studied charged current one pion production induced by ν_μ(ν-bar_μ) from some nuclei. The calculations have been done for the incoherent pion production processes from these nuclear targets in the Δ dominance model and take into account the effect of Pauli blocking, Fermi motion and renormalization of Δ properties in the nuclear medium. The effect of final state interactions of pions has also been taken into account. The numerical results have been compared with the recent results from the MiniBooNE experiment for the charged current 1π production, and also with some of the older experiments in Freon and Freon-Propane from CERN