Isospin Violation in Low-Energy Pion-Nucleon Scattering Revisited

  title={Isospin Violation in Low-Energy Pion-Nucleon Scattering Revisited},
  author={Martin Hoferichter and Bastian Kubis and Ulf-G. Mei{\ss}ner},
  journal={Nuclear Physics},
Isospin-breaking corrections to the pion-nucleon scattering lengths
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
Chiral dynamics with (non)strange quarks
We review the results and achievements of the project B.3 . Topics addressed include pion photoproduction off the proton and off deuterium, three-flavor chiral perturbation theory studies, chiral
Roy–Steiner-equation analysis of pion–nucleon scattering
Low-energy pion–nucleon scattering is relevant for many areas in nuclear and hadronic physics, ranging from the scalar couplings of the nucleon to the long-range part of two-pion-exchange potentials
Extracting the σ-term from low-energy pion-nucleon scattering
We present an extraction of the pion-nucleon (πN) scattering lengths from low-energy πN scattering, by fitting a representation based on Roy–Steiner equations to the low-energy data base. We show
Photoproduction of neutral pions
The pion and nucleon mass differences generate a very pronounced cusp in the photoproduction reaction of a single neutral pion on the proton. A nonrelativistic effective field theory to describe this
Effective field theory calculations of NN → NNπ
In this review, we present the recent advances for calculations of the reactions NN → NNπ using chiral effective field theory χEFT. Discussed are the next-to-next-to leading order (N2LO) loop
Isospin violation, light quark masses, and all that
Isospin violation is driven through the light quark mass difference and electromagnetic effects. I review recent progress in extracting the light quark mass difference and tests of the chiral


Towards an understanding of isospin violation in pion-nucleon scattering
We investigate isospin breaking in low-energy pion-nucleon scattering in the framework of chiral perturbation theory. This work extends the systematic analysis of Fettes et al. [Phys. Lett. B 451,
Isospin breaking in low-energy pion-nucleon scattering.
Low-energy pion-nucleon data for isospin invariance is analyzed by comparing charge-exchange amplitudes derived from charge-Exchange data with those predicted from recent elastic data through the application of isospIn invariance.
Ground-state energy of pionic hydrogen to one loop
Abstract. We investigate the ground-state energy of the $\pi^-p$ atom (pionic hydrogen) in the framework of QCD + QED. In particular, we evaluate the strong energy-level shift. We perform the