# Charged dilaton black hole in 2+1 dimensions as a particle accelerator

## TL;DR

This paper investigates how charged particles can achieve infinite collision energies near a 2+1 dimensional charged dilaton black hole, highlighting its potential as a particle accelerator.

## Contribution

It provides a detailed analysis of particle collisions near a charged dilaton black hole in 2+1 dimensions, revealing conditions for infinite energy collisions.

## Key findings

- Center of mass energy diverges near the horizon with critical charge
- Time-like geodesics for charged particles are characterized
- Black hole acts as a potential particle accelerator

## Abstract

In this paper we have studied particle collisions around a charged dilaton black hole in 2+1 dimensions. This black hole is a solution to the low energy string action in 2+1 dimensions. Time-like geodesics for charged particles are studied in detail. The center of mass energy for two charged particles colliding closer to the horizon is calculated and shown to be infinite if one of the particles has the critical charge.