Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking

Abstract

We investigate the gravitational form factors of the baryon octet within the framework of the SU(3) chiral quark-soliton model, considering the effects of flavor SU(3) symmetry breaking, and the corresponding energy-momentum tensor distributions. We examine the effects of flavor SU(3) symmetry breaking to the mass, angular momentum, pressure, and shear force distributions of the baryon octet. We first find that a heavier baryon is energetically more compact than a lighter one. For the spin distributions of the baryon octet, they are properly normalized to their spins and are decomposed into the flavor-singlet axial charge and the orbital angular momentum even when the flavor SU(3) symmetry is broken. While the effects of the flavor SU(3) symmetry breaking differently contribute to the angular momentum distributions for the octet baryons, they are found to be rather small. The spin and orbital angular momentum almost equally contribute to the angular momentum distributions for the octet baryons. We also estimate the effects of the flavor SU(3) symmetry breaking to the pressure and shear force distributions. Interestingly, even if we include the effects of the SU(3) flavor symmetry breaking, the shear force distributions are kept to be positive over $r$. It indicates that the Polyakov & Schweitzer local stability condition is kept to be intact with the flavor SU(3) symmetry broken. Lastly, we discuss how much the gravitational form factors vary with the effects of flavor SU(3) symmetry breaking considered.

27 pages, 8 figures

References in corpus (48)

• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Gluon gravitational structure of hadrons of different spin
• Forces within hadrons on the light front
• Charge Distributions of Moving Nucleons
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• $J/\psi$ near threshold in holographic QCD: A and D gravitational form factors
• Ambiguities in the definition of local spatial densities in light hadrons
• Nucleon spin densities in a light-front constituent quark model
• Implication of the overlap representation for modelling generalized parton distributions
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• Energy momentum tensor and the D-term in the bag model
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• The energy-momentum tensor of spin-1 hadrons: formalism
• Gravitational form factors within light-cone sum rules at leading order
• Unified formalism for electromagnetic and gravitational probes: densities
• On the definition of local spatial densities in hadrons
• On the D-term of the nucleon generalized parton distributions
• Nucleon D-term in holographic QCD
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Pion mean fields and heavy baryons
• Gravitational form factors of a baryon with spin-3/2
• Chiral theory of nucleons and pions in the presence of an external gravitational field
• Effects of long-range forces on the D-term and the energy-momentum structure
• Strong force fields and stabilities of the nucleon and singly heavy baryon ${\Sigma }_c$
• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Gravitational form factors of $\rho$ meson with a light-cone constituent quark model
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Quadrupole pressure and shear forces inside baryons in the large $N_c$ limit
• Parametrization of transition energy-momentum tensor form factors
• Genuine empirical pressure within the proton
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• On the deuteron relativistic charge distributions
• Monopole and quadrupole contributions to the angular momentum density
• Isospin mass differences of singly heavy baryons
• Gravitational form factors of hyperons in light-cone QCD
• Gravitational form factors of $N(1535)$ in QCD
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Quark spin content of SU(3) light and singly heavy baryons
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case

Cited by in corpus (9)

• Gravitational form factors of the proton from lattice QCD
• Gravitational transition form factors of $N\to \Delta$ via QCD light-cone sum rules
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Flavor structure of the energy-momentum tensor form factors of the proton
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Relativistic energy-momentum tensor distributions in a polarized nucleon
• Scale-anomaly-induced binding pressure in hadrons
• Transverse energy-momentum tensor distributions in polarized nucleons