Torsion gravity for Dirac particles

Abstract

In this paper, we consider torsion gravity in the case of Dirac field, and by going into the rest frame, we study what happens when a uniform precession as well as a phase is taken into account for the spinor field; we discuss how partially conserved axial-vector currents and torsion-spin attractive potentials justify negative Takabayashi angle and energy smaller than mass: because in this instance the module goes to zero exponentially fast, we obtain stable and localized matter distributions suitable to be regarded as a description of particles.