Absorption Cross Section for S-wave massive Scalar

TL;DR

This paper investigates how the mass of a scalar field affects its absorption cross section near higher-dimensional objects, confirming the universal property under certain geometric conditions.

Contribution

It analyzes the impact of mass on the absorption cross section and identifies conditions under which the universal property is preserved in higher-dimensional spacetimes.

Findings

Mass effect generally does not break the universal cross section property.

Mass dependence is highly sensitive to near-horizon spacetime geometry.

Universal property holds under specific geometric conditions.

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.