Diffraction-corrected neutrino flux and $\nu N$ total cross section

Abstract

A neutrino produced in a particle decay maintains an unusual wave nature that reveals a diffraction phenomenon in a large spatial region. Diffraction gives a new component to a neutrino flux in this region and modifies determinations of physical quantities in neutrino experiments. A total cross section of neutrino nucleon scattering at high energies is studied in this paper. A cross section is proportional to an energy in the quark-parton model and is modified with the energy-dependent neutrino flux induced by the diffraction component. A total number of events divided by the energy is not constant but has a slight energy dependence. Theoretical values agree well with the recent experiments.

7 pages, 4 figures, Some explanations about the relation between a non-asymptotic region and an interference were added into section 1

References in corpus (4)

• Measurement of Neutrino-Induced Charged-Current Charged Pion Production Cross Sections on Mineral Oil at E${}_{\nu }\sim 1\text{GeV}$
• Measurement of ${\nu }_{\mu }$-induced charged-current neutral pion production cross sections on mineral oil at $E_{\nu }\in 0.5-2.0$ GeV
• Resolving LSND anomaly by neutrino diffraction
• Neutrino diffraction induced by many body interaction