Decuplet contribution to the meson-baryon scattering lengths

Details Decuplet contribution to the meson-baryon scattering lengths Decuplet contribution to the meson-baryon scattering lengths

2007-02-24

arxiv.org/abs/hep-ph/0702246v2

Eur.Phys.J.C52:177-186,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 figure, 9 tables

Scientific paper

10.1140/epjc/s10052-007-0348-x

We calculate decuplet contributions to the s-wave pseudoscalar meson octet-baryon scattering lengths to the third order in heavy baryon chiral perturbation theory (HB$\chi$PT). 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.

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