Eur. Phys. J. A (2005) 24: 395-409
https://doi.org/10.1140/epja/i2005-10063-9

Original Article

Baryon masses, chiral extrapolations, and all that^⋆

¹ Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
² Institut für Kernphysik (Theorie), Forschungszentrum Jülich, D-52425, Jülich, Germany

Received: 18 May 2005
Accepted: 20 May 2005
Published online: 7 June 2005

Abstract

We calculate the baryon octet masses to fourth order in chiral perturbation theory employing dimensional and cut-off regularization. We analyze the pion and kaon mass dependences of the baryon masses based on the MILC data. We show that chiral perturbation theory gives stable chiral extrapolation functions for pion (kaon) masses below 550 (600) MeV. For the pion-nucleon sigma term we find (0) = 39.5...46.7MeV.