The role of energy-momentum conservation in emission of Cherenkov gluons

TL;DR

This paper discusses how energy-momentum conservation affects Cherenkov gluon emission, leading to modifications in emission angles and corrections to the nuclear refractive index in hadronic reactions.

Contribution

It introduces necessary modifications to the Cherenkov emission formula for gluons, accounting for recoil effects in hadronic processes.

Findings

Recoil effects impose an upper energy limit on emitted gluons.

Corrections to the nuclear refractive index are essential for accurate Cherenkov ring analysis.

Modified formulas improve understanding of Cherenkov gluon emission in nuclear reactions.

Abstract

The famous formula for the emission angle of Cherenkov radiation should be modified when applied to hadronic reactions because of recoil effects. They impose the upper limit on the energy of the gluon emitted at a given angle. Also, it leads to essential corrections to the nuclear refractive index value as determined from the angular position of Cherenkov rings.