Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory

Abstract

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is equivalent to heavy baryon chiral perturbation theory. We obtain a good fit to the experimental phase shifts for pion center-of-mass kinetic energies up to 100 MeV. A sigma term greater than 45 MeV is favored, but the value is not well determined.

46 pages, RevTex, 14 figures and 2 tables, minor changes for publication

References in corpus (1)

• Elastic pion-nucleon Scattering to O(p^3) in Heavy Baryon Chiral Perturbation Theory

Cited by in corpus (113)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Chiral Perturbation Theory and Baryon Properties
• The chiral effective pion-nucleon Lagrangian of order p^4
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Low energy analysis of the nucleon electromagnetic form factors
• 50 Years of Quantum Chromodynamics
• Matching Heavy Particle Approach to Relativistic Theory
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Towards a theory of hadron resonances
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• 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
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• Infrared regularization for spin-1 fields
• Spin structure of the nucleon at low energies
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Infrared regularization of baryon chiral perturbation theory reformulated
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory
• Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Infrared regularization with spin-3/2 fields
• Semileptonic decays of the light J(P)=1/2(+) ground state baryon octet
• Baryon electric dipole moments from strong CP violation
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• The role of the background in the extraction of resonance contributions from meson-baryon scattering
• Effective chiral theory of nucleon-nucleon scattering
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Is Heavy Baryon Approach Necessary?
• Baryon self energies in the chiral loop expansion
• Solution of the Bethe-Salpeter equation for pion-nucleon scattering
• Large Lorentz Scalar and Vector Potentials in Nuclei
• Novel analysis of chiral loop effects in the generalized Gerasimov-Drell-Hearn sum rule
• On the quark-mass dependence of the baryon ground-state masses
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Two-pion exchange nucleon-nucleon potential:O(q^4) relativistic chiral expansion
• Chiral expansion of the nucleon mass to order q^6
• Baryon Masses in Chiral Perturbation Theory with Infrared Regularization
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Chiral corrections to the Roper mass
• Improving the ultraviolet behavior in baryon chiral perturbation theory
• Relativistic $O(q^4)$ two-pion exchange nucleon-nucleon potential: configuration space
• Pion electroproduction, PCAC, chiral Ward identities, and the axial form factor revisited
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory
• Effective Field Theory Dimensional Regularization
• U(3) chiral perturbation theory with infrared regularization
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Lattice regularization for chiral perturbation theory
• Eft for DFT
• The eta-prime -> eta pi pi decay in U(3) chiral perturbation theory
• The Role of the Roper in Chiral Perturbation Theory
• Regularization for effective field theory with two heavy particles
• Thermal rates for baryon and anti-baryon production
• Infrared regularization with vector mesons and baryons
• Transition GPDs and exclusive electroproduction of $\pi -\Delta (1232)$ final states
• Two-loop Corrections for Nuclear Matter in a Covariant Effective Field Theory
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• ${\epsilon }^{\prime }/\epsilon$ Anomaly and Neutron EDM in $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ model with Charge Symmetry
• Unitarized pion-nucleon scattering within Heavy Baryon Chiral Perturbation Theory
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Hot and dense matter beyond relativistic mean field theory
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• The Axial-Vector Current in Nuclear Many-Body Physics
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• New Insights on Low Energy $\pi N$ Scattering Amplitudes: Comprehensive Analyses at $\mathcal{O}(p^3)$ Level
• Chiral perturbation theory - Success and challenge
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Complex-mass renormalization in hadronic EFT: applicability at two-loop order
• Positivity constraints on the low-energy constants of the chiral pion-nucleon Lagrangian
• Aspects of meson properties in dense nuclear matter
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Dependence of nucleon properties on pseudoscalar meson masses
• Nonperturbative renormalization in light-front dynamics and applications
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Chiral Dynamics of Baryons in a Lorentz Covariant Quark Model
• Three-loop Corrections in a Covariant Effective Field Theory
• SU(3) Chiral Effective Field Theories -- A Status Report --
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Radiative pion photoproduction in covariant chiral perturbation theory
• Pion-nucleon amplitude near threshold: the sigma-term and scattering lengths beyond few loops
• Chiral effective field theories of the strong interactions
• The axial-vector form factor of the nucleon in a finite box
• Chiral corrections to the $1^{-+}$ exotic meson mass
• Unitarized pion-nucleon scattering amplitude from inverse amplitude method