Gravitational formfactors of the $ \rho $ meson in QCD sum rules

TL;DR

This paper calculates the gravitational formfactors of the rho meson using light-cone sum rules, highlighting the effects of nonconservation of the energy-momentum tensor current and comparing results with previous studies.

Contribution

It introduces a calculation of rho meson gravitational formfactors considering nonconservation of the energy-momentum tensor within the light-cone sum rules framework.

Findings

Nine formfactors identified due to nonconservation effects

Comparison shows agreement and differences with existing literature

Highlights importance of tensor current conservation in formfactor calculations

Abstract

By using the quark part of the energy-momentum tensor current, the gravitational formfactors of the $ \rho $ meson are calculated within the light-cone sum rules method. In the considered version, the energy-momentum tensor current is not conserved and as a result, there appear nine formfactors, six (three) of which correspond to the conservation (nonconservation) of the energy-momentum tensor current. We also compare our results with the one existing in the literature.