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.
Cite
@article{arxiv.1111.6180,
title = {Diffraction-corrected neutrino flux and $\nu N$ total cross section},
author = {Kenzo Ishikawa and Yutaka Tobita},
journal= {arXiv preprint arXiv:1111.6180},
year = {2012}
}
Comments
7 pages, 4 figures, Some explanations about the relation between a non-asymptotic region and an interference were added into section 1