Gravitational form factor D of charmonium from shear stress

Abstract

Based on our recent analysis of the hadronic matrix element of the stress-energy tensor in covariant light-front dynamics, we extract the charmonium gravitational form factor D(Q2) from shear stress T12. This is in contrast to our recent work using the (light-front) energy density T+−. Indeed, by comparing these two currents, we identify terms that are responsible for the violation of the current conservation. Numerical results based on basis light-front quantization show that the violation effects are small, and the D term extracted from the two currents are close to each other, hence validating our previous work using T+−. Published by the American Physical Society 2025