Eur. Phys. J. C (2007) 52: 177-186
https://doi.org/10.1140/epjc/s10052-007-0348-x

Regular Article - Theoretical Physics

Decuplet contribution to the meson–baryon scattering lengths

Department of Physics, Peking University, Beijing, 100871, P.R. China

^* e-mail: yrliu@pku.edu.cn

Received: 26 March 2007
Published online: 26 July 2007

Abstract

We calculate decuplet contributions to the s-wave pseudoscalar meson octet–baryon scattering lengths to the third order in heavy baryon chiral perturbation theory (HBχPT). Using experimental pion–nucleon and kaon–nucleon scattering lengths as inputs, we determine low-energy constants and predict other meson–baryon scattering lengths. Numerically we consider three cases: (1) the case with only baryon octet contributions; (2) with decuplet contributions and (3) in the large N_c limit. Hopefully, the analytical expressions and the predictions are helpful to future investigations of the meson–baryon scattering lengths.