# Classical and quantum scattering of maximally charged dilaton black holes

## TL;DR

This paper investigates how maximally charged dilaton black holes scatter both classically and quantum mechanically, revealing a critical dilaton coupling value that determines whether black holes coalesce or scatter apart.

## Contribution

It identifies a critical dilaton coupling value ($a^2=1/3$) that influences the scattering behavior of charged black holes.

## Key findings

- For $a^2>1/3$, black holes always scatter away and do not coalesce.
- The study covers both classical and quantum scattering scenarios.
- A critical coupling value $a^2=1/3$ separates different scattering regimes.

## Abstract

The classical and the quantum scattering of two maximally-charged dilaton black holes which have low velocities are studied. We find a critical value for the dilaton coupling, $a^2=1/3$. For $a^2>1/3$, two black holes are always scattered away and never coalesce together, regardless of the value of the impact parameter.