Absorption probabilities associated with spin-3/2 particles near $N$-dimensional Schwarzschild black holes

TL;DR

This paper investigates the absorption probabilities of spin-3/2 particles near N-dimensional Schwarzschild black holes, using analytical methods to understand their emission spectra relevant for detecting higher-dimensional black holes at high energies.

Contribution

It applies the Unruh method and WKB approximation to compute absorption probabilities across energy ranges, advancing the understanding of particle emissions from higher-dimensional black holes.

Findings

Absorption probabilities calculated for low energy particles using the Unruh method.

Full energy range probabilities determined via WKB approximation.

Results aid in predicting emission spectra for higher-dimensional black holes.

Abstract

In June 2015 the Large Hadron Collider was able to produce collisions with an energy of 13TeV, where collisions at these energy levels may allow for the formation of higher dimensional black holes. In order to detect these higher dimensional black holes we require an understanding of their emission spectra. One way of determining this is by looking at the absorption probabilities associated with the black hole. In this proceedings we will look at the absorption probability for spin-3/2 particles near $N$-dimensional Schwarzschild black holes. We will show how the Unruh method is used to determine these probabilities for low energy particles. We then use the Wentzel-Kramers-Brillouin approximation in order to determine these absorption probabilities for the entire possible energy range.