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arXiv · 2604.03832

Gravitational transverse momentum distribution of proton

Kauship Saha·Dipankar Chakrabarti·Asmita Mukherjee
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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.

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Kauship Saha, Dipankar Chakrabarti, Asmita Mukherjee. 2026-04-04. Gravitational transverse momentum distribution of proton. https://arxiv.org/abs/2604.03832

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