Quadrupole pressure and shear forces inside baryons in the large $N_c$ limit

Abstract

We derive number of relations between quadrupole energy, elastic pressure, and shear force distributions in baryons using the large $N_c$ picture of baryons as chiral solitons. The obtained large $N_c$ relations are independent of particular dynamics and should hold in any picture in which the baryon is the chiral soliton. One of remarkable qualitative predictions of the soliton picture is the nullification of the tangential forces acting on the radial area element for any tensor polarisation of the baryon. The derived relations provide a powerful tool to check the hypothesis that the baryons are chiral solitons, say using lattice QCD.

arXiv commentPublished version

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• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
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• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Gravitational transition form factors of $N\to \Delta$ via QCD light-cone sum rules
• Electromagnetic multipole structure of a spin-one particle: Abel tomography case
• Local spatial densities for composite spin-3/2 systems
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• A Journey of Seeking Pressure and Forces in the Nucleon
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon