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Chapter 14 - Weak Quasielastic v(⊽)-nucleusScattering

Published online by Cambridge University Press:  22 May 2020

M. Sajjad Athar
Affiliation:
Aligarh Muslim University, India
S. K. Singh
Affiliation:
Aligarh Muslim University, India
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Summary

Introduction

In Chapters 10–13, we have discussed (anti)neutrino interactions onthe free nucleon target leading to quasielastic (Chapter 10), inelastic(Chapters 11 and 12), and deep inelastic scattering (Chapters 13) dependingupon the energy transferred to the target and the four-momentum transfersquared. The study of such processes is important to understand the variousbasic weak interaction processes induced by (anti)neutrinos from the freenucleons and determine the quasielastic form factors, transition formfactors, and the structure functions of the nucleon at the W NN(ZN N) vertex. In recent times, the study of(anti)neutrino reactions from the nuclear targets has been emphasized asalmost all the present generation (anti)neutrino experiments use moderate toheavy nuclear targets like 12C, 16O, 40Ar,56Fe, 208Pb, where the interactions take placewith the nucleons that are bound inside the nucleus. Various experimentslike MINERvA, NOvA, T2K, etc., are being performed in the few GeV energyregion where the contribution to the scattering cross section comes from allthe possible channels, viz., quasielastic, inelastic, and deep inelasticscattering processes. A good understanding of the nuclear cross sectionswould be very helpful in analyzing these experiments. The precision withwhich the basic neutrino–nucleon cross sections in nuclear targetsare known is still not better than 20–30%.

Neutrino oscillation experiments measure events that are a convolution of

(i) energy-dependent neutrino flux and

(ii) energy-dependent cross section.

Moreover, the nuclear medium effects modulating the cross sections are energydependent. Therefore, it is highly desirable that we understand the energydependence of nuclear medium effects in neutrino scattering processes; thisunderstanding will help in achieving the future goals of physicists involvedin studying CP violation and the mass hierarchy problem in the phenomenologyof neutrino oscillations (Chapter 18).

Broadly, we may divide nuclear processes induced by neutrinos into twocategories. The first one is the exclusive reactions

where Zi (Z f ) isthe charge of initial (final) nucleus. In this case, the final nucleus isleft either in the ground state or in an excited state, which decays intosome final nuclear states through electromagnetic or weak interactions byemitting photons or charged leptons which are observed.

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Publisher: Cambridge University Press
Print publication year: 2020

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