Diffusion of scalar particles in Janis-Newman-Winicour-Wyman gravitational field and GRBs

The propagation of a boson particle in the Janis-Newman-Winicour-Wyman (JNWW) gravitational field is analyzed. We derive the wave function of the scalar particle, and the effective potential experienced by quantum particles. Besides, we show that the probability to find the scalar particle near the region where the naked singularity is finite. Finally, these results are proposed as a model to study the gamma ray bursts (GRBs) physics.