Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory

Abstract

Baryon chiral perturbation theory with explicit $\Delta (1232)$ degrees of freedom is considered. Using the extended on-mass-shell renormalization scheme, a manifestly Lorentz-invariant effective field theory with a systematic power counting is obtained. As applications we discuss the mass of the nucleon, the pion-nucleon sigma term, and the pole of the $\Delta$ propagator.

18 pages, 2 figures, REVTeX 4

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Cited by in corpus (63)

• Modern Theory of Nuclear Forces
• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• 50 Years of Quantum Chromodynamics
• Towards a theory of hadron resonances
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Complex-mass renormalization in chiral effective field theory
• Baryon self energies in the chiral loop expansion
• Electromagnetic form factors of the nucleon in effective field theory
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Delta-baryon mass in a covariant Faddeev approach
• SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ in covariant baryon chiral perturbation theory
• Mass and width of the Roper resonance using complex-mass renormalization
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Chiral Corrections to the Hyperon Vector Form Factors
• Chiral corrections to the Roper mass
• Hyperon decay form factors in chiral perturbation theory
• The physical meaning of scattering matrix singularities in coupled-channel formalisms
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• Magnetic moment of the Roper resonance
• Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
• The width of the Roper resonance in baryon chiral perturbation theory
• Parton distributions from nonlocal chiral SU(3) effective theory: Flavor asymmetries
• The electromagnetic form factors of the transition from the spin-3/2 Sigma to the Lambda hyperon
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• On the definition of the Δmass and width
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Pion axioproduction: The Delta resonance contribution
• Proximity of $f_0(1500)$ and $f_0(1710)$ to the scalar glueball
• Chiral perturbation theory - Success and challenge
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Quark mass dependence of baryon properties
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• Complete Relativistic Description of the N*(1520)
• Chiral Lagrangians with decuplet baryons to one loop
• Strange quark helicity in the proton from chiral effective theory
• Baryon chiral perturbation theory
• Baryon polarization in low-energy unpolarized meson-baryon scattering
• The Roper Resonance in a finite volume
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Chiral effective field theories of the strong interactions
• The Skyrme model and chiral perturbation theory
• Recent developments in effective field theory
• Helicity-dependent distribution of strange quarks in the proton from nonlocal chiral effective theory
• Pion axioproduction revisited
• Recent Progress in Effective Field Theory in the One-Nucleon Sector
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme
• Two-photon physics