https://doi.org/10.1140/epja/i2006-10096-6
Hadron Physics
Probing the convergence of perturbative series in baryon chiral perturbation theory
1
Institut für Kernphysik, Johannes Gutenberg-Universität, D-55099, Mainz, Germany
2
High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia
* e-mail: gegelia@kph.uni-mainz.de
Received:
14
June
2006
Accepted:
6
September
2006
Published online:
22
September
2006
Using the examples of pion-nucleon scattering and the nucleon mass we analyze the convergence of perturbative series in the framework of baryon chiral perturbation theory. For both cases we sum up sets of an infinite number of diagrams by solving equations exactly and compare the solutions with the perturbative contributions.
PACS: 12.38.Cy Summation of perturbation theory – / 12.39.Fe Chiral Lagrangians – / 13.75.Gx Pion-baryon interactions –
© Società Italiana di Fisica and Springer-Verlag, 2006
