Characteristic Functions and Typical Values of the Nonlinear Dark Spinor

In this paper, we solve the particle-like eigenstates of a class of nonlinear dark spinor equation, and compute several functions which reflect its characteristics. The numerical results show that, the nonlinear spinor equation has only finite meaningful eigenstates, which have only positive discrete mass spectrum. The ground state of the dark spinor provides a small negative pressure which may be important in cosmology