Non-extensive statistics and solar neutrinos

In this paper we will show that assuming the existence of a long-range micr oscopic memory of the random force, acting in the solar core, mainly on the electrons and the protons rather than on the light and heavy ions (or, equ ally, assuming the existence of an anomalous diffusion of solar core consti tuents of light mass and of normal diffusion of heavy ions), the equilibriu m statistical distribution that these particles must obey, is that of the T sallis non-extensive statistics, the distribution differing very slightly f rom the usual Maxwellian distribution. Due to the high-energy depleted tail of the distribution, the nuclear rates are reduced and, using earlier resu lts on the standard solar model neutrino fluxes, calculated by Clayton and collaborators, we can evaluate fluxes in good agreement with the experiment al data. While the proton distribution is only very slightly different from the Maxwell one there is a slightly larger difference with the electron di stribution.