We consider pion-nucleon scattering in heavy-baryon chiral perturbation theory to third order. All electromagnetic corrections appearing to this order are included. We thus have a consistent description of strong and electromagnetic effects, which allows us to isolate the strong part of the interact
Pion–nucleon scattering in chiral perturbation theory II: Fourth order calculation
✍ Scribed by Nadia Fettes; Ulf-G. Meißner
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 326 KB
- Volume
- 676
- Category
- Article
- ISSN
- 0375-9474
No coin nor oath required. For personal study only.
✦ Synopsis
We analyze elastic pion-nucleon scattering to fourth order in heavy-baryon chiral perturbation theory, extending the third-order study published in Nucl. Phys. A 640 (1998) 199. We use various partial-wave analyses to pin down the low-energy constants from data in the physical region. The S-wave scattering lengths are consistent with recent determinations from pionic hydrogen and deuterium. We find an improved description of the P-waves. We also discuss the pion-nucleon sigma term and problems related to the prediction of the subthreshold parameters.
📜 SIMILAR VOLUMES
We report on our present work, where by means of the Inverse Amplitude Method we unitarize the elastic pion nucleon scattering amplitudes of Heavy Barion Chiral Perturbation Theory at O(qa). We reproduce the scattering up to the inelastic thresholds including the A(1232) resonance. The fitted chiral