Abstract
We obtain the gravitational form factors (GFFs) and investigate their applications for the description of the mechanical properties, i.e., the distributions of pressures, shear forces inside proton, and the mechanical radius, in a light-front quark-diquark model constructed by the soft-wall AdS/QCD. The GFFs, $A(Q^2)$ and $B(Q^2)$ are found to be consistent with the lattice QCD, while the qualitative behavior of the $D$-term form factor is in agreement with the extracted data from the deeply virtual Compton scattering (DVCS) experiments at JLab, the lattice QCD, and the predictions of different phenomenological models. The pressure and shear force distributions are also consistent with the results of different models.
Highlights
The gravitational form factors (GFFs), AðQ2Þ and BðQ2Þ are found to be consistent with the lattice QCD, while the qualitative behavior of the D-term form factor is in agreement with the extracted data from the deeply virtual Compton scattering (DVCS) experiments at JLab, the lattice QCD, and the predictions of different phenomenological models
An indirect way to obtain information on them is from hard exclusive processes for example deeply virtual Compton scattering (DVCS) that is sensitive to the gravitational form factors (GFFs) through generalized parton distributions (GPDs) [3]
We have showed explicit Q2 behavior of the gravitational form factors in this model and observed that the GFFs AðQ2Þ and BðQ2Þ are comparable with lattice QCD results [38]
Summary
The mechanical properties of the nucleon, namely how the mass, spin and pressure are distributed among the quarks and gluons inside the nucleon is a topic of intense interest in recent days [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]. In contrast the GFF CðQ2Þ ( called the D-term) is unconstrained at zero momentum transfer This form factor is related to the internal properties of the nucleon like the pressure and stress distribution [1,2]. In [2], the pressure and energy distributions inside a nucleon are defined in different frames, including the Breit frame and infinite momentum frame or light-front formalism The latter has the advantage that because of the fact that transverse boosts are Galilean in light-front framework, one can obtain a relativistic description of the form factors in terms of the light-front wave functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
