Bound states and electromagnetic radiation of relativistically rotating cylindrical wells

TL;DR

This paper investigates how rigid rotation affects bound states in cylindrical wells, showing that increasing angular velocity can cause bound states to dissociate, with implications for quark-gluon plasma phenomenology and electromagnetic radiation emission.

Contribution

It provides a quantitative analysis of the impact of relativistic rotation on bound state energies and electromagnetic radiation emission, highlighting the critical angular velocity for dissociation.

Findings

Bound state energies increase with angular velocity.

Bound states dissociate into the continuum at a critical angular velocity.

Electromagnetic radiation intensity depends strongly on rotation speed.

Abstract

We compute the effect of rigid rotation on the non-relativistic bound states. The energy levels of the bound states increase with the angular velocity of rotation until at certain value of the angular velocity they are completely pushed out into the continuum which corresponds to dissociation of the bound states. When the angular velocity exceeds the critical value at which the ground state disappears into the continuum, no bound state is possible. This effect should have important consequences for the phenomenology of the quark-gluon plasma. One of the ways to study it experimentally is to observe the electromagnetic radiation emitted by a rotating bound state. We compute the corresponding intensity of electromagnetic radiation and show that it strongly depends on the angular velocity of rotation.