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Electromagnetic and gravitational form factors of $\Delta$ resonance in a covariant quark-diquark approach
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abstract
In this work, the electromagnetic and gravitational form factors of a spin-$3/2$ particle, $\Delta$ resonance, are simultaneously calculated with the help of a relativistic covariant quark-diquark approach. The two kinds of form factors are separately extracted from the matrix elements of the electromagnetic current and of the energy-momentum tensor of the system. Our numerical results show that the approach can well reproduce the electromagnetic monopole, dipole, quadrupole, and octupole form factors comparing to the Lattice calculations. Our obtained electromagnetic moments are also comparable with some other approaches. Moreover, the obtained gravitational form factors, which give the mechanical properties of the system like the mass and spin distributions, are also displayed for the $\Delta$ isobar. In addition, some discussions of the sign and the interpretation of the D-term are particularly given.
Forward citations
Cited by 3 Pith papers
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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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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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Electromagnetic form factors of singly charmed baryons $\Sigma_c$ and $\Lambda_c$ in a covariant quark-diquark model
Spacelike electromagnetic form factors of Σc and Λc are computed in a covariant quark-diquark model, finding compact charge distributions and a charm-quark-dominated magnetic form factor for Λc.
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