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Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results

arXiv:1512.08447 · doi:10.1103/PhysRevD.93.064046

Abstract

A complete set of exact analytic solutions to the mode equation is found in the region exterior to the acoustic horizon for a class of 1D Bose-Einstein condensate (BEC) acoustic black holes. From these, analytic expressions for the scattering coefficients and gray-body factor are obtained. The results are used to verify previous predictions regarding the behaviors of the scattering coefficients and gray-body factor in the low frequency limit.

13 pages, 1 figure, Final version, to appear in Phys. Rev. D