# Evaporation Screening, Scattering, and Quantum Tunneling Near the Horizons of Schwarzschild and Reissner--Nordstr\"om Black Holes

## TL;DR

This paper investigates how quantum tunneling affects particle behavior near black hole horizons, revealing mechanisms that can scatter or reflect particles, thereby influencing black hole evaporation processes.

## Contribution

It introduces a detailed analysis of quantum tunneling effects on massive particles near Schwarzschild and Reissner--Nordstr"om black hole horizons, highlighting new scattering and screening phenomena.

## Key findings

- Existence of classically forbidden regions outside horizons for certain particles.
- Quantum tunneling enables particles to cross these forbidden regions.
- Reflection of emitted particles can suppress black hole evaporation.

## Abstract

For the radial motion of massive particles with large angular momenta in Schwarzschild geometry and that of massive charged particles with large angular momenta or energy in a particular range in Reissner--Nordstr\"om geometry, there exist classically forbidden regions on the outside of the respective event horizons which scatter certain infalling geodesics or screen some of the black holes' evaporation by reflecting the emitted particles back into the black holes. Quantum tunneling across this forbidden regions is studied.