Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
Alessandro Fabbri, Roberto Balbinot, and Paul R. Anderson
TL;DR
This paper derives exact analytic solutions for 1D BEC acoustic black holes, providing explicit formulas for scattering coefficients and gray-body factors, and confirming their low-frequency behaviors.
Contribution
It presents the first complete set of exact solutions for the mode equation in 1D BEC acoustic black holes, enabling precise calculation of scattering properties.
Findings
Exact analytic solutions for mode equations are obtained.
Explicit formulas for scattering coefficients and gray-body factors are derived.
Results confirm previous low-frequency behavior predictions.
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.
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