On-Shell Approach to Pion-Nucleon Physics
James V. Steele, Hidenaga Yamagishi, Ismail Zahed
Abstract
We discuss an on-shell approach to pion-nucleon physics that is consistent order by order in a 1/fπ expansion with the chiral reduction formula, crossing, and relativistic unitarity. A number of constraints between the on-shell low-energy parameters are derived at tree level in the presence of the pion-nucleon sigma term, and found to be in fair agreement with experiment. We analyze the nucleon form factors, and the πN πN scattering amplitude to one-loop, as well as πNππN to tree level. We use the latter to derive a new constraint for the pion-nucleon sigma term at threshold. We compare our results to both relativistic and non-relativistic chiral perturbation theory, and discuss the convergence character of the expansion in light of experiment.
Create a lesson
Related papers
The LZ inelastic splitting as a probe of anomaly mediation
Seung J. Lee, Taewook Youn
Precision Tokenization for Multi-Modal Data in High Energy Physics
Jeffrey Krupa, Samuel Klein, Nilotpal Kakati et al.
Complete four-loop pressure of cold QED
Aapeli Kärkkäinen, Pablo Navarrete, Mika Nurmela et al.
Long-Distance Contributions to Light Vector Mesons and Radiative Decays of ηc
Xiao-Yu Qi, Qi Wu, Dian-Yong Chen
Utilizing Neural Networks for Solving Functional Renormalization Group Flow Equations
J. Gurzó, G. Fejős
ALP interactions with mesons and baryons at O(1/fa): a general field redefinition invariant approach
Jorge Alda, Stefano Rigolin