Logic and numbers related to solar neutrinos

Abstract

In this work, first of all, we analyze a number of hidden aspects of the concept of particle oscillations. The key element of this concept, which do not comply with the principle of least action, is the notion of a mixture of particles, introduced by Gell-Mann and Pais for neutral $K$-mesons. It has been proven that the law of conservation of energy-momentum in the processes of electron neutrino production does not allow solving the problem of solar neutrinos based on the assumption of Gribov and Pontecorvo about their oscillations. It has been established that the consequences of Wolfenstein's equation contradict the results of the SNO and Super-Kamiokande collaborations and that the assertion by Mikheev and Smirnov on the conversion of solar neutrinos is erroneous. Another part of the work is devoted to a logically clear solution to this problem based on the hypothesis of the existence of a new interaction, the carrier of which is a massless pseudoscalar boson, which has a Yukawa coupling with electron neutrinos and nucleons. At each act of interaction of an electron neutrino with the nucleons of the Sun, caused by such interaction, the handedness of the neutrino changes from left to right and vice versa, and also the neutrino energy decreases. The hypothesis provides good agreement between the theoretical and experimental values of the rates of all five observed processes with solar neutrinos. This serves as a significant criterion for both the confidence of such a solution to the problem of solar neutrinos and the confidence of the existence of a new interaction.