Isospin breaking in the pion-nucleon scattering lengths

Abstract

We analyze isospin breaking through quark mass differences and virtual photons in the pion-nucleon scattering lengths in all physical channels in the framework of covariant baryon chiral perturbation theory.

7 pages, 1 figure

References in corpus (27)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Chiral Perturbation Theory and Baryon Properties
• Pion-nucleon scattering inside the Mandelstam triangle
• A sum rule approach to the violation of Dashen's theorem
• Ground-state energy of pionic hydrogen to one loop
• Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
• Low energy analysis of pi N --> pi N
• Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths
• Hadronic atoms in QCD + QED
• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• Isospin violation in pion-nucleon scattering
• Decays of the pi+ pi- atom
• Neutral pion photoproduction on deuterium in baryon chiral perturbation theory to order q^4
• Radiative corrections in K --> 3 pi decays
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Virtual photons in baryon chiral perturbation theory
• Isospin violation in the vector form factors of the nucleon
• Chiral corrections to the Kroll-Ruderman theorem
• Elastic pion-nucleon Scattering to O(p^3) in Heavy Baryon Chiral Perturbation Theory
• Towards an understanding of isospin violation in pion-nucleon scattering
• Isospin-breaking corrections in the pion-deuteron scattering length
• On the size of isospin violation in low-energy pion-nucleon scattering
• Light Quark Mass Difference and Isospin Breaking In Electromagnetic Pion Production
• Electromagnetic low-energy constants in ChPT
• Chiral Dynamics in Photo-Pion Physics: Theory, Experiment, and Future Studies at the HI$\gamma$S Facility
• Quark mass dependence of baryon properties

Cited by in corpus (40)

• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Extracting the sigma-term from low-energy pion-nucleon scattering
• Nucleon axial structure from lattice QCD
• Photocouplings at the Pole from Pion Photoproduction
• Pionic deuterium
• Remarks on the pion-nucleon sigma-term
• Isospin violation in low-energy pion-nucleon scattering revisited
• Light stops, blind spots, and isospin violation in the MSSM
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Hadronic shift in pionic hydrogen
• Accurate Test of Chiral Dynamics in the \boldmath$\vec{\gamma }p\to {\pi }^{0}p$ Reaction
• The pion-nucleon sigma term from lattice QCD
• Extraction of the strong neutron-proton mass difference from the charge symmetry breaking in pn-->d pi0
• Model Selection for Pion Photoproduction
• πN scattering in relativistic baryon chiral perturbation theory revisited
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Nucleon resonance parameters from Roy-Steiner equations
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Upper Energy Limit of Heavy Baryon Chiral Perturbation Theory in Neutral Pion Photoproduction
• Effective Field Theory calculations of $NN\to NN\pi$
• Theoretical aspects of Chiral Dynamics
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Charge Symmetry Breaking in dd->4Heπ0 with WASA-at-COSY
• Analysis of the low-energy ${\pi }^{-}p$ charge-exchange data
• Investigation of the dd -> 3He n π0 reaction with the FZ Jülich WASA-at-COSY facility
• Isospin breaking in pion-deuteron scattering and the pion-nucleon scattering lengths
• Pion electroproduction in a nonrelativistic theory
• Pion photoproduction in a nonrelativistic theory
• Neutral Pion Production in the Threshold Region
• Symmetry breaking effects in pion couplings to constituent quark currents
• Nucleon mass: trace anomaly and $\sigma$-terms