Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory

Abstract

The self-energies of the full set of flavor SU(3) octet and decuplet baryons are computed within a relativistic chiral effective theory framework. The leading nonanalytic chiral behavior is derived for the octet and decuplet masses, and a finite-range regularization consistent with Lorentz and gauge invariance is applied to account for the finite size of the baryons. Using a four-dimensional dipole form factor, the relative importance of various meson-baryon loop contributions to the self-energies is studied numerically as a function of the dipole range parameter and meson mass, and comparison is made between the relativistic results and earlier approximations within the heavy baryon limit.

arXiv comment42 pages, 7 figures

References in corpus (45)

• Chiral Dynamics in Nucleons and Nuclei
• Ab-initio Determination of Light Hadron Masses
• 2+1 Flavor Lattice QCD toward the Physical Point
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Octet baryon masses and sigma terms from an SU(3) chiral extrapolation
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• SU(3) Baryon Chiral Perturbation Theory and Long Distance Regularization
• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• Convergence of chiral effective field theory
• Critical Analysis of Baryon Masses and Sigma-Terms in Heavy Baryon Chiral Perturbation Theory
• Nucleon mass and pion loops
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Mass of the H-dibaryon
• Sigma terms from an SU(3) chiral extrapolation
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Stranger Still: Kaon Loops and Strange Quark Matrix Elements of the Nucleon
• Chiral Quark Model of Nucleon Spin-Flavor Structure with SU(3) and Axial-U(1) Breakings
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• Is Heavy Baryon Approach Necessary?
• Chiral Extrapolation of Hadronic Observables
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Pion momentum distributions in the nucleon in chiral effective theory
• Baryon Mass Splittings in Chiral Perturbation Theory
• Stranger in the Light: The Strange Vector Form Factors of the Nucleon
• Taming the Pion Cloud of the Nucleon
• Strange quark asymmetry in the proton in chiral effective theory
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
• Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
• Chiral corrections in hadron spectroscopy
• Constraints on $s-\bar{s}$ asymmetry of the proton in chiral effective theory
• Parton distributions from nonlocal chiral SU(3) effective theory: Flavor asymmetries
• Equivalence of pion loops in equal-time and light-front dynamics
• Nucleon electromagnetic form factors with non-local chiral effective Lagrangian
• Strange form factors of nucleon with nonlocal chiral effective Lagrangian
• Comment on "Taming the pion cloud of the nucleon"
• Nucleon mass and pion loops: Renormalization
• Sivers distribution functions of sea quark in proton with chiral Lagrangian
• The Nucleon ``Tensor Charges'' and the Skyrme Model
• Strange quark helicity in the proton from chiral effective theory
• Flavor symmetry breaking in the $\Delta$ sea
• Octet and decuplet contribution to the proton self energy

Cited by in corpus (2)

• Octet and decuplet baryon $\sigma$-terms and mass decompositions
• Chiral Analysis of the Nucleon Mass and Sigma Commutator