The calculation of mass neutrino oscillation phase for the static isotropic space-time in the parallelism torsion gravity

In the framework of the Weitzenbock space-time, a special version of torsion gravitational theory, we calculate the mass neutrino oscillation phase along the radial direction for the static isotropic gravitational source. It is found that the torsion-induced oscillation phase modification to that of vacuum can be bigger than that induced by general relativity if the mass neutrino propagates sufficient long distance, however there still exists difficulty to detect the torsion effect in the modern high-energy neutrino physics experiment on account of the small torsion contribution to the vacuum neutrino oscillation phase.