Stationary probability distribution p_b of inhomogeneous diffusion (5) with respect to distance, r, for a single Brownian body, m_b, inside a Plummer external gravitational potential. The Brownian body may be considered to be a massive BH and the gravitational potential may be generated by a globular cluster of individual average stellar mass, m_⋆. We denote r_c the softening radius of the potential.