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Gravitational form factors of $\Delta$ baryon via QCD sum rules
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abstract
The gravitational form factors of a hadron are defined through the matrix elements of the energy-momentum tensor current, which can be decomposed into the quark and gluonic parts, between the hadronic states. These form factors provide important information for answering fundamental questions about the distribution of the energy, the spin, the pressure and the shear forces inside the hadrons. Theoretical and experimental studies of these form factors provide exciting insights on the inner structure and geometric shapes of hadrons. Inspired by this, the gravitational form factors of $\Delta$ resonance are calculated by employing the QCD sum rule approach. The acquired gravitational form factors are used to calculate the composite gravitational form factors like the energy and angular momentum multipole form factors, D-terms related to the mechanical properties like the internal pressure and shear forces as well as the mass radius of the system. The predictions are compared with the existing results in the literature.
Forward citations
Cited by 5 Pith papers
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Tensor form factors of decuplet hyperons in QCD
QCD sum rules yield numerical tensor form factors for Ω^-, Σ^{*+}, and Ξ^{*-} up to 10 GeV² together with forward-limit quark tensor charges.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
Lattice fits to gluon gravitational form factors support the sigma meson as dilaton with new predictions for rho and delta, reinforcing evidence for scale symmetry in low-energy QCD.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.
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Semileptonic $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*} \ell \bar{\nu}_{\ell}$ transition in QCD
The Omega_b* -> Omega_c* l nu semileptonic decay widths are predicted with QCD sum rules: about 2.5e-12 GeV for electron/muon channels and 0.71e-12 GeV for the tau channel, with R = 0.29.
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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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