Proof of universality for the absorption of massive scalars by the higher-dimensional Reissner-Nordstrom black holes

Motivated by black hole experiments as a consequence of the TeV-scale gravity arising from modern brane-world scenarios, we study the absorption problem for the massive scalars when the spacetime background is a (4+n)-dimensional Reissner-Nordstrom black hole. For analytic computation we adopt the near-extreme condition in the spacetime background. It is shown that the low-energy absorption cross section for the s-wave case holds an universality, i.e., the absorption cross section equals to the area of the black hole horizon divided by a velocity parameter