Electric dipole transitions of heavy quarkonium in pNRQCD

TL;DR

This paper develops a systematic, model-independent approach within pNRQCD to calculate electric dipole transitions in heavy quarkonium, including relativistic corrections, and compares with previous potential model results.

Contribution

It introduces a relativistic correction framework for E1 transitions in heavy quarkonium within pNRQCD, extending existing formalism and providing a more rigorous, model-independent analysis.

Findings

Derived relativistic corrections of order v^2 to decay rates.

Extended formalism from M1 decays to E1 transitions.

Compared and complemented previous potential model results.

Abstract

We propose a systematic, model-independent treatment of electric dipole transitions of heavy quarkonium. Within an effective field theory, concretely potential non-relativistic QCD, the relativistic corrections of relative order $v^2$ to the decay rate are derived. An existing formalism developed for M1 decays will be extended for our purpose. We scrutinize and complement former results from potential model calculations.