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3D EMT distributions as an Abel image of 2D EMT distributions on the light-front
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The energy-momentum tensor (EMT) and corresponding gravitational form factors (GFFs) provide us information about the internal structure like spin, mass and spatial densities of the proton. The Druck gravitational (D-term) form factor is related to the mechanical stability of the proton and gives information about the spatial distributions of the forces inside the hadron. In this work, we study the GFFs in the framework of the light-front quark diquark model. The model has been successful to derive various properties of protons. We investigate the three-dimensional spatial distributions of proton as an Abel image of two-dimensional distributions in this model[1]. We explicitly show the global and local stability conditions which are satisfied by both 2D and 3D distributions in our model. We compare our results with the chiral quark soliton model, JLab and lattice data.
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On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents
Time-independent three-dimensional spherical densities cannot be defined for relativistic confined systems; only transverse two-dimensional light-front densities are consistent with quantum mechanics and Poincare invariance.
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