Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.
Gravitational form factors and angular momentum densities in light-front quark-diquark model
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abstract
We investigate the gravitational form factors (GFFs) and the longitudinal momentum densities ($p^+$ densities) for proton in a light-front quark-diquark model. The light-front wave functions are constructed from the soft-wall AdS/QCD prediction. The contributions from both the scalar and the axial vector diquarks are considered here. The results are compared with the consequences of a parametrization of nucleon generalized parton distributions (GPDs) in the light of recent MRST measurements of parton distribution functions (PDFs) and a soft-wall AdS/QCD model. The spatial distribution of angular momentum for up and down quarks inside the nucleon has been presented. At the density level, we illustrate different definitions of angular momentum explicitly for an up and down quark in the light-front quark-diquark model inspired by AdS/QCD.
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In light-front holographic QCD the nucleon gravitational form factor B_N(t) vanishes exactly in the symmetric limit due to an antisymmetric longitudinal factor and remains strongly suppressed for realistic nucleon wave functions, explaining its observed smallness.
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Gravitational transverse momentum distribution of proton
Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.
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Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD
In light-front holographic QCD the nucleon gravitational form factor B_N(t) vanishes exactly in the symmetric limit due to an antisymmetric longitudinal factor and remains strongly suppressed for realistic nucleon wave functions, explaining its observed smallness.