Bound states and electromagnetic radiation of relativistically rotating cylindrical wells

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.

13 pages, 5 figures

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• Photon radiation by relatively slowly rotating fermions in magnetic field
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• Chiral magnetic effect in a cylindrical domain
• String tension and Polyakov loop in a rotating background
• Relativistic dynamics of charmonia in strong magnetic fields
• Causal fermion states in magnetic field in a relativistic rotating frame and electromagnetic radiation by a rapidly rotating charge