pNRQCD determination of E1 radiative transitions

Abstract

This contribution contains the first numerical computation of the complete set of relativistic corrections of relative order $v^2$ for electric dipole (E1) transitions in heavy quarkonium; in particular, for the processes ${\chi }_{bJ}(1P)\to {\rm Y}(1S)+\gamma$ with $J=0,1,2$. We assume that the momentum transfer of the heavy mesons involved in the reactions lies in the weak-coupling regime of the low-energy effective field theory potential non-relativistic QCD (pNRQCD) and thus a full perturbative calculation can be performed.

Comments: Contribution to the proceedings of the 12th Quark Confinement and the Hadron Spectrum (CONF12). Aug. 28 - Sep. 4, 2016. Thessaloniki, Greece