Kinematics of ultra-high energy particle collisions near black holes in the magnetic field

TL;DR

This paper investigates the kinematics of ultra-high energy particle collisions near black holes in strong magnetic fields, revealing a different mechanism for achieving high collision energies compared to the traditional BSW effect.

Contribution

It introduces a novel scenario where both particles are rapid with a nonzero velocity angle, leading to high-energy collisions without the need for fine-tuned particles.

Findings

High-energy collisions occur due to velocity angle effects in magnetic fields.

The mechanism differs from the BSW effect involving critical particles.

Potential implications for astrophysical particle acceleration.

Abstract

There are different versions of collisions of two particles near black holes with unbound energy $E_{c.m.}$ in the centre of mass frame. The so-called BSW effect arises when a slow fine-tuned "critical" particle hits a rapid "usual" one. We discuss a scenario of collision in the strong magnetic field for which explanation tuns out to be different. Both particles are rapid but the nonzero angle between their velocities (which are both close to $c$, the speed of light) results in a relative velocity close to $c$ and, hence, big $% E_{c.m.}