Charged current quasi elastic scattering of muon neutrino with nuclei

Abstract

Abstract. We present a study on the charge current quasi elastic scattering of ν µ from nucleon and nuclei which gives a charged muon in the final state. To describe nuclei, the Fermi Gas model has been used with proposed Pauli suppression factor. The diffuseness parameter of the Fermi distribution has been obtained using experimental data. We also investigate different parametrizations for electric and magnetic Sach's form factors of nucleons. Calculations have been made for CCQES total and differential cross sections for the cases of ν µ − N , ν µ − 12 C and ν µ − 56 F e scatterings and are compared with the data for different values of the axial mass. The present model gives excellent description of measured differential cross section for all the systems.

Coherent pion production in neutrino (anti-neutrino)-nucleus interaction

“…The pion decay constant is f π (= 0.93 m π ) and dσ(πA → πA)/d|t| is the pionnucleus differential elastic cross section calculated assuming ν as the total incident energy of pion in laboratory frame. The axial vector form factor can be defined as [13] with the axial vector meson mass m A (= 1.05 GeV/c 2 ) [7]. The high energy approximation to the true minimal…”

“…Some examples of detector media are; iron in case of India-based Neutrino Observatory (INO) [4] and argon in case of DUNE experiment [5]. Bulk of the interactions in the detector comes from intermediate energy neutrinos having contribution from many processes which include quasi elastic scattering, interaction via resonance pion production and deep inelastic scattering [6,7,8]. One of the important processes in the resonance production region is coherent pion production in which the nucleus interacts as a whole with the neutrino with its quantum state remains unchanged.…”

The Accelerator Neutrino-Neutron Interaction Experiment

“…where p is the initial nucleon state's 4-momentum, q = k−k , and f (p, q) applies corrections related to the Fermi motion of nucleons in the nucleus. f (p, q) is related to the momenta of the individual nucleons in the following manner: has the general form [143] f…”

Charged current quasi elastic scattering of muon anti-neutrino off ^{12}C

“…where a = kT (= 0.020 GeV) is the diffuseness parameter [32]. The Fermi momentum k F for carbon nucleus is 0.221 GeV [33].…”

“…Here, M n is the final state neutron mass and E B is the binding energy. For carbon nucleus, E B = 10 MeV [32]. The total cross section of anti-neutrino -nucleus quasi elastic scattering is obtained by integrating the differential cross section as defined by Eq.…”