Gravitational transverse momentum distribution of proton
Abstract
We present the first study of quark gravitational transverse-momentum distributions within the light-front quark--diquark model (LFQDM) inspired by the soft-wall AdS/QCD framework. We derive analytical expressions for the six unpolarized (T-even) gravitational transverse-momentum-dependent distributions (gravitational--TMDs) for up and down quarks within the model and compute the corresponding gravitational parton distribution functions (gravitational--PDFs). We further verify that these unpolarized gravitational--TMDs satisfy the model-independent relations with quark TMDs. In addition, we explore the connection of gravitational TMDs with the transverse isotropic pressure and shear-force distributions in momentum space, as well as with the average longitudinal momentum carried by up and down quarks within the model.
Keywords
Cite
@article{arxiv.2604.03832,
title = {Gravitational transverse momentum distribution of proton},
author = {Kauship Saha and Dipankar Chakrabarti and Asmita Mukherjee},
journal= {arXiv preprint arXiv:2604.03832},
year = {2026}
}