Photon-radion conversion cross-sections in external electromagnetic field

TL;DR

This paper calculates photon-to-radion conversion cross-sections in external electromagnetic fields within the Randall-Sundrum model, showing enhanced production in magnetic and periodic fields, with potential implications for experimental detection.

Contribution

It provides the first detailed calculations of photon-radion conversion cross-sections in various external electromagnetic fields in the context of the Randall-Sundrum model.

Findings

Conversion cross-section is small in static electric fields.

Radion production is significantly enhanced in static magnetic and periodic fields.

Numerical evaluations support potential experimental detection in specific field configurations.

Abstract

An attempt is made to present some experimental predictions of the Randall-Sundrum model, where compactification radius of the extra dimension is stabilized by the radion, which is a scalar field lighter than the graviton Kaluza-Klein states. We calculate the conversion cross-sections of the photons into the radions in the external electromagnetic fields, namely, in the static fields and in a periodic field of the wave guide. Numerical evaluations of the total cross-sections are also given. Our result shows that the conversion cross-section in the static electric field is quite small. But, in the static magnetic and periodic fields, the radion productions are much enhanced.