Hulthén potential under the Lorentz symmetry violation effects due to the coupling between the vector field f μ γ 5and the derivative of the fermionic field

Abstract

Abstract We search for Lorentz symmetry violation effects caused by the coupling between a fixed vector field and the derivative of the fermionic field in the nonrelativistic regime. By working with dimensions, we study nonrelativistic effects of the Lorentz symmetry violation on the energy eigenvalues of the Hulthén potential and the deformed Hulthén potential.