Heavy Baryon Chiral Perturbation Theory with Light Deltas

Abstract

We demonstrate how heavy mass methods, previously applied to chiral perturbation theory calculations involving the interactions of nucleons and pions, can be generalized to include interactions with the $\Delta (1232)$ in a systematic formalism which we call the "small scale expansion."

47 page standard latex file with typos corrected

References in corpus (5)

• Pion-pion scattering at low energy
• Delta(1232) and the Polarizabilities of the Nucleon
• Reparameterization Invariance Revisited
• Wave function renormalization in heavy baryon chiral perturbation theory
• Chiral Perturbation Theory in Few-Nucleon Systems

Cited by in corpus (242)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Unraveling hadron structure with generalized parton distributions
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Axial structure of the nucleon
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Electromagnetic excitation of the Delta(1232)-resonance
• Effective Field Theory of Nuclear Forces
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 50 Years of Quantum Chromodynamics
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Beta Decays and Non-Standard Interactions in the LHC Era
• Signatures of three-nucleon interactions in few-nucleon systems
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Field theory of nucleon to higher-spin baryon transitions
• Nuclear Parity-Violation in Effective Field Theory
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Electromagnetic Excitation of Nucleon Resonances
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• The Nucleon Anapole Moment and Parity-Violating ep Scattering
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Towards a theory of hadron resonances
• Delta isobars and nuclear saturation
• Axial Nucleon form factors from lattice QCD
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Nucleon mass: from lattice QCD to the chiral limit
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Quark mass dependence of the nucleon axial-vector coupling constant
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Delta-excitations and the three-nucleon force
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Chiral dynamics of few- and many-nucleon systems
• Spin structure of the nucleon at low energies
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Towards grounding nuclear physics in QCD
• Higher Order Polarizabilities of the Proton
• Signatures of Chiral Dynamics in Low Energy Compton Scattering off the Nucleon
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Leading Chiral Contributions to the Spin Structure of the Proton
• Complete one-loop analysis of the nucleon's spin polarizabilities
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Infrared regularization with spin-3/2 fields
• New insights into the spin structure of the nucleon
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Generalized Polarizabilities of the Nucleon in Chiral Effective Theories
• Chiral 3$\pi$-exchange NN-potentials: Results for dominant next-to-leading order contributions
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Complex-mass renormalization in chiral effective field theory
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Low energy analysis of nu N --> nu N gamma in the Standard Model
• The electromagnetic decays of the charmed and bottom baryons in chiral perturbation theory
• Chiral symmetry and the Delta-Nucleon transition form factors
• Signatures of chiral dynamics in the Nucleon to Delta transition
• Strong Isospin Breaking in the Nucleon and Delta Masses on the Lattice
• Electromagnetic form factors of the nucleon in effective field theory
• Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Novel analysis of chiral loop effects in the generalized Gerasimov-Drell-Hearn sum rule
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom
• Baryon Octet magnetic moments in $\chi$PT: More on the importance of the Decuplet
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Ordinary and radiative muon capture on the proton and the pseudoscalar form factor of the nucleon
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• The Delta-resonance in a finite volume
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Power counting in chiral effective field theory and nuclear binding
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Scattering of decuplet baryons in chiral effective field theory
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Mass and width of the Roper resonance using complex-mass renormalization
• Delta-baryon mass in a covariant Faddeev approach
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Octet Baryon Charge Radii, Chiral Symmetry and Decuplet Intermediate States
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• The X17 boson and the ${}^3$H$(p,e^{+}{e}^{-}{)}^4$He and ${}^3$He$(n,e^{+}{e}^{-}{)}^4$He processes: a theoretical analysis
• Chiral Corrections to the Hyperon Vector Form Factors
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Chiral dynamics and peripheral transverse densities
• Radiative neutron beta-decay in effective field theory
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Hyperon decay form factors in chiral perturbation theory
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• The physical meaning of scattering matrix singularities in coupled-channel formalisms
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• On-shell consistency of the Rarita-Schwinger field formulation
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Parity Violation in gamma proton Compton Scattering
• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Isospin-breaking two-nucleon force with explicit Delta-excitations
• Spin Polarizabilities of the Nucleon from Polarized Low Energy Compton Scattering
• Magnetic moment of the Roper resonance
• The width of the Roper resonance in baryon chiral perturbation theory
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Recoil Order Chiral Corrections to Baryon Octet Axial Currents and Large $N_c$ QCD
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Upper Energy Limit of Heavy Baryon Chiral Perturbation Theory in Neutral Pion Photoproduction
• Radiative pion capture by a nucleon
• Explicit Delta(1232) Degrees of Freedom in Compton Scattering off the Deuteron
• Effective Field Theory calculations of $NN\to NN\pi$
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Charge Symmetry Breaking in the n p --> d pi^0 reaction
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• The Role of the Roper in Chiral Perturbation Theory
• Large-N_c Quark Distributions in the Delta and Chiral Logarithms in Quark Distributions of the Nucleon
• Spin 3/2 Penta-quarks in anisotropic lattice QCD
• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• Decuplet contribution to the meson-baryon scattering lengths
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• Nuclear Effective Field Theories: Reverberations of the early days
• Mass and axial charge of heavy baryons
• Chiral Symmetry and the Parity-Violating $NN\pi$ Yukawa Coupling
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Electroweak Radiative Corrections to Parity-Violating Electroexcitation of the $\Delta$
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• On the definition of the Δmass and width
• Octet Baryons in Large Magnetic Fields
• The reaction pi N -> pi pi N in chiral effective field theory with explicit Delta(1232) degrees of freedom
• What different variants of chiral EFT predict for the proton Compton differential cross section - and why
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Neutron in a Strong Magnetic Field: Finite Volume Effects
• Subleading corrections to parity violating pion photoproduction
• Inference of the low-energy constants in $\Delta$-full chiral effective field theory including a correlated truncation error
• Three-body forces and Efimov physics in nuclei and atoms
• Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
• The $\Delta (1232)$ axial charge and form factors from lattice QCD
• Nucleon Polarizabilities from Deuteron Compton Scattering within a Green's-Function Hybrid Approach
• Pion-delta sigma-term
• Isospin violation and the proton's neutral weak magnetic form factor
• Nuclear-matter saturation and symmetry energy within $\Delta$--full chiral effective field theory
• The Off-diagonal Goldberger-Treiman Relation and Its Discrepancy
• Spectral functions of nucleon form factors: Three-pion continua at low energies
• Parity- and Time Reversal-Violating Pion Nucleon Couplings: Higher Order Chiral Matching Relations
• Pion production in nucleon-nucleon collisions in chiral effective field theory with Delta(1232)-degrees of freedom
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Baryon masses and σ-terms in SU(3) BChPT x 1/Nc
• Baryon magnetic moments and sigma terms in lattice-regularized chiral perturbation theory
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Axial-vector form factors of the baryon octet and chiral symmetry
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Chiral Lagrangians for mesons with a single heavy quark
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• Strong decay ${\Delta }^{++}\to p\pi$ with light-cone QCD sum rules
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Electromagnetic Properties of the Delta in the Large N and Chiral Limits
• Elastic Compton Scattering from 3He and the Role of the Delta
• Extraction of the resonance parameters at finite times
• Pion axioproduction: The Delta resonance contribution
• Radiative and chiral corrections to elastic lepton-proton scattering in chiral perturbation theory
• Energy Level Displacement of Excited np State of Kaonic Deuterium In Faddeev Equation Approach
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons
• Baryon form factors: Model-independent results
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Hyperon forward spin polarizability gamma0 in baryon chiral perturbation theory
• 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
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• $\pi \Delta \Delta$ coupling constant
• Strong decays ${\Sigma }^{\ast }\to \Sigma \pi ,\Lambda \pi$ and related strong coupling constant
• Positivity constraints on the low-energy constants of the chiral pion-nucleon Lagrangian
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Conference Discussion of the Nuclear Force
• Study of a possible S=+1 dynamically generated baryonic resonance
• Lattice regularized chiral perturbation theory
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Chiral Lagrangians with decuplet baryons to one loop
• rho -> pi pi decay in nuclear medium
• Accelerating black holes, spin-3/2 fields and C-metric
• The Δcontribution to the parity-violating nucleon-nucleon force
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons
• Meson-baryon sigma terms in QCD Sum Rules
• Nucleon-Nucleon Scattering with Coupled Nucleon-Delta Channels in Chiral Effective Field Theory
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• Chiral extrapolations of nucleon properties from lattice QCD
• Quark mass dependence of nucleon mass and axial-vector coupling constant
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• pi^0 -> gamma gamma*, omega -> pi^0 gamma*, and rho -> pi gamma* decays in nuclear medium
• Low-Energy Lepton-Proton Bremsstrahlung via Effective Field Theory
• Radiative pion photoproduction in covariant chiral perturbation theory
• A dispersion relation for the pion-mass dependence of hadron properties
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Transverse densities of octet baryons from chiral effective field theory
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model
• Chiral effective field theories of the strong interactions
• The chiral limit of QCD and above
• Gauge symmetric delta(1232) couplings and the radiative muon capture in hydrogen
• The pion photoproduction in the Δ(1232) region
• Impulse approximation in the n p --> d pi^0 reaction reexamined
• The lightest flavor--singlet qqq baryons as witnesses to color
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment
• Quark Mass Dependence of Nucleon Properties and Extrapolation from Lattice QCD
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order
• Pion axioproduction revisited
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Chiral dynamics of few-nucleon systems
• New Analysis of Threshold Photoproduction Data from MAMI
• Electromagnetic polarizabilities of the triplet hadrons in heavy hadron chiral perturbation theory
• 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