Dirac particle in gravitational field of black hole with Newman-Unti-Tamburino parameter

We study the quantum-mechanical problem of a spin 1/2 particle in gravitational field of the black hole with Newman-Unti-Tamburino (NUT) parameter. Separation of the variables has been performed in the Dirac equation. The system of angular equations has been solved analytically in terms of hypergeometric functions. The quantization condition for the angular parameter is derived. In the massless case, the radial system is reduced to separate systems of two first-order equations which are solved in terms of the confluent Heun functions. Generalized tortoise-like coordinate is introduced, and expressions for the effective complex-valued potentials are found. We may expect that the present analysis can permit us to elucidate the physical interpretation for the Newman-Unti-Tamburino metric. The question arises about possible existence of the Hawking-like radiation in this model.