2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 8, 121-130
DOI 10.1007/s100529901054

Sigma-terms in heavy baryon chiral perturbation theory revisited

B. Borasoy

Department of Physics and Astronomy, University of Massachusetts, Amherst, MA 01003, USA
(e-mail: borasoy@het.phast.umass.edu)

Received: 21 July 1998 / Revised version: 31 August 1998 / Published online: 25 January 1999

The $\sigma$-terms are calculated at next-to-leading order in heavy baryon chiral perturbation theory by employing a cutoff regularization. The results do not depend on the cutoff value to the order we are working . The baryon masses and $\sigma_{\pi N}(0)$ are used to perform a least-squares fit to the three appearing low-energy constants and predictions for the two KN $\sigma$-terms and the strange contribution to the nucleon mass are made. The lack of convergence in the chiral expansions of these quantities when regularized dimensionally is overcome in the cutoff scheme. The $\sigma$-term shifts to the pertinent Cheng-Dashen points are calculated. We also include the spin-3/2 decuplet in the effective theory.

Copyright Springer-Verlag