Authors: Sylwester Kornowski
In the Standard Model (SM), neutrinos interact with quarks through charged current interactions (mediated by W bosons) and neutral current interactions (mediated by Z bosons). When we take into account the uncertainties then the measured in accelerator and the IceCube experiments cross-sections for neutrinos divided by their energy are consistent with the SM predictions. But there is still the proton spin crisis concerning the quarks and gluons so the SM assumptions for the neutrino-nucleon scattering are not clear. Here we calculated the ratios of cross section for neutrinos to neutrino energy using the Scale-Symmetric Theory (SST). According to SST, rotating neutrino produces a halo and disc (it looks as a miniature of active massive galaxy) both composed of the Einstein spacetime components which gravitate and are local i.e. are non-relativistic. The sum of masses of the neutrino halo and disc is equal to the neutrino energy. On the other hand, cross-section of neutrino is defined by radius of the disc which density is much higher than the neutrino halo. Below the threshold neutrino energy equal to 2.67 TeV, pions and other hadrons are not produced in the cost of neutrino energy (their production decreases both radii i.e. of the halo and disc) so the ratio of cross-section to neutrino energy is invariant. Above the threshold energy, more and more neutrino energy is consumed on the production of pions and heavier hadrons - it leads to a slower increase in cross section at higher energies in such a way that the ratio of cross section to neutrino energy decreases practically to zero for neutrino energy about 2,800 TeV (this is due to the scattering on heaviest atomic nuclei). The threshold energy for antineutrinos is two times higher than for neutrinos but the ratio of cross section to antineutrino energy for energies lower than the threshold energy is two times lower than for neutrinos - it follows from the internal helicities of nucleons, muons, neutrinos and antineutrinos. Obtained results are consistent with experimental data and we can verify presented here model because of the SST predictions.
Comments: 7 Pages.
[v1] 2017-12-04 04:45:31
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