Charge Influence On Mini Black Hole's Cross Section

TL;DR

This paper investigates how electric charge affects the production cross section of charged mini black holes in accelerators, showing that charge reduces the horizon radius and cross section, especially for heavy ions.

Contribution

It introduces the analysis of charge effects on mini black hole cross sections within the ADD model using the fat brane approximation, highlighting the impact of electric charge.

Findings

Electric charge decreases the black hole horizon radius.

Charge reduces the cross section, notably for heavy ions.

The effect is negligible for protons and light ions.

Abstract

In this work we study the electric charge effect on the cross section production of charged mini black holes (MBH) in accelerators. We analyze the charged MBH solution using the {\it fat brane} approximation in the context of the ADD model. The maximum charge-mass ratio condition for the existence of a horizon radius is discussed. We show that the electric charge causes a decrease in this radius and, consequently, in the cross section. This reduction is negligible for protons and light ions but can be important for heavy ions.