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Quadrupole pressure and shear forces inside baryons in the large $N_c$ limit
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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.
Forward citations
Cited by 3 Pith papers
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Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions
Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.
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Quadrupole forces between quark/gluon subsystems inside higher-spin particles
For spin-1 and spin-3/2 hadrons, the quark/gluon subsystem force acquires quadrupole and tangential components, expressed through new multipole form factors C̄_n(t).
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Mechanical properties of the $\Omega^-$ baryon from gravitational form factors
Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.
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