Decuplet contribution to the meson-baryon scattering lengths

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 (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.

11 pages, 1 figure, 9 tables

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Cited by in corpus (16)

• Nuclear Physics from Lattice QCD
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• Low energy scattering phase shifts for meson-baryon systems
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Chiral Lagrangians with decuplet baryons to one loop
• The Δcontribution to the parity-violating nucleon-nucleon force
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory