Absorption Cross Section for S-wave massive Scalar
arXiv:hep-th/0311036 · doi:10.1016/j.physletb.2004.02.001
Abstract
We examine the absorption cross section of the massive scalar field for the higher-dimensional extended object. Adopting the usual quantum mechanical matching conditions between the asymptotic and near-horizon solutions in radial equation, we check whether or not the universal property of the absorption cross section, which is that the low-energy cross section is proportional to the surface area of horizon, is maintained when the mass effect is involved. It is found that the mass effect in general does not break the universal property of the cross section if particular conditions are required to the spacetime geometry. However, the mass-dependence of the cross section is very sensitive to the spacetime property in the near-horizon regime.
14 pages, 2 postscript figures included, v2 calculation for case is improved using Coulomb wave function. References are added V3 The format of paper is changed as a letter form. Version to appear in PLB
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