Chiral Perturbation Theory and Baryon Properties

Abstract

Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for studying these properties in the low energy domain: chiral perturbation theory, the effective field theory of the Standard Model at energies below 1 GeV and lattice QCD. I will mainly concentrate here on the first one but I will also discuss the complementarity of the two methods. Chiral extrapolations for lattice simulations of some nucleon properties will be investigated. I will then concentrate on processes involving at most two nucleons, describing for example pion-nucleon and pion-deuteron scattering, pion photo- and electroproduction off the nucleon and the deuteron and doubly virtual Compton scattering. Three flavor calculations will also be reviewed.

commissioned article for Prog. Nucl. Part. Phys

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• Modern Theory of Nuclear Forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Nuclear effective field theory: status and perspectives
• Baryon spectroscopy
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Quantum Simulation for High Energy Physics
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• 50 Years of Quantum Chromodynamics
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Signatures of three-nucleon interactions in few-nucleon systems
• Electric Dipole Moments in Two-Higgs-Doublet Models
• Hadron structure from lattice quantum chromodynamics
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
• Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Sigma term and strangeness content of octet baryons
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• The Standard Model effective field theory at work
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Subleading contributions to the width of the D_{s0}*(2317)
• On the size of the sigma meson and its nature
• Two-pole structures in QCD: Facts, not fantasy!
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Four-nucleon force using the method of unitary transformation
• The NRQED lagrangian at order 1/M^4
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Weinberg's approach to nucleon-nucleon scattering revisited
• Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Pion photoproduction in a dynamical coupled-channels model
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Dependence of the triple-alpha process on the fundamental constants of nature
• Baryon electric dipole moments from strong CP violation
• New insights into the spin structure of the nucleon
• Pionic deuterium
• QCD and the Strange Baryon Spectrum
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Isospin breaking in the pion-nucleon scattering lengths
• Isospin violation in low-energy pion-nucleon scattering revisited
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Nuclear Currents in Chiral Effective Field Theory
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• Chiral extrapolation of octet-baryon charge radii
• Moments of the Spin Structure Functions g_1^p and g_1^d for 0.05 < Q^2 < 3.0 GeV^2
• Low-lying even parity meson resonances and spin-flavor symmetry
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• The Theory of Parity Violation in Few-Nucleon Systems
• Low energy proton-proton scattering in effective field theory
• Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor
• Accurate Test of Chiral Dynamics in the \boldmath$\vec{\gamma }p\to {\pi }^{0}p$ Reaction
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Hadron structure at low Q^2
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Parity- and time-reversal-violating nuclear forces
• Nucleon Electric Dipole Moments and the Isovector Parity- and Time-Reversal-Odd Pion-Nucleon Coupling
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Dressed-quarks and the nucleon's axial charge
• Compton scattering from chiral dynamics with unitarity and causality
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• πN scattering in relativistic baryon chiral perturbation theory revisited
• The D coefficient in neutron beta decay in effective field theory
• Electromagnetic Transition Form Factors of Baryon Resonances
• Axial charges of octet and decuplet baryons
• Naturalness in Nuclear Effective Field Theories
• Hyperon decay form factors in chiral perturbation theory
• What is the role of the meson cloud in the ${\Sigma }^{\ast 0}\to \gamma \Lambda$ and ${\Sigma }^{\ast }\to \gamma \Sigma$ decays?
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Gyromagnetic Factors and Atomic Clock Constraints on the Variation of Fundamental Constants
• Strange quark asymmetry in the proton in chiral effective theory
• On-shell consistency of the Rarita-Schwinger field formulation
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
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• Chiral Extrapolation of the Strangeness Changing K pi Form Factor
• Towards a high precision calculation for the pion-nucleus scattering lengths
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• Axial form factors of the octet baryons in a covariant quark model
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• Baryon magnetic moments in large-N_c chiral perturbation theory
• Precision calculation of the axion-nucleon coupling in chiral perturbation theory
• Measurement of the proton spin structure at long distances
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• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• 3He Spin-Dependent Cross Sections and Sum Rules
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• Quark Mass Dependence of Hadron Spectrum in Holographic QCD
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Effective Field Theory calculations of $NN\to NN\pi$
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
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• On the axial-vector form factor of the nucleon and chiral symmetry
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• Threshold neutral pion photoproduction off the tri-nucleon to O(q^4)
• New lessons from the nucleon mass, lattice QCD and heavy baryon chiral perturbation theory
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• Ordinary Muon Capture in Hydrogen Reexamined
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• Neutral Pion Production in the Threshold Region
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