Abstract
We construct directly the quark-antiquark scattering kernels of Bethe-Salpeter equation from the quark self-energy, under two specific forms of quark-gluon vertices. The quark dressed tensor vertex is then calculated within this consistent framework and rainbow-ladder (RL) approximation. After employing a simplified nucleon model, the nucleon tensor charge can be defined with the tensor vertex. We then compute the tensor charge with the bare tensor vertex and the dressed vertices obtained in this framework and in the RL approximation. The obtained results are consistent with the lattice QCD calculations. We also find that typically the gluon dressing effects suppress the nucleon tensor charge compared to the bare tensor vertex, by about 23% for the RL approximation, and turn out to be about 13% in this framework.
- Received 21 January 2019
DOI:https://doi.org/10.1103/PhysRevD.99.074013
© 2019 American Physical Society