Torsion gravity for Dirac particles

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.