Meson-baryon scattering lengths in HB$\chi$PT

Abstract

We calculate the chiral corrections to the s-wave pseudoscalar meson octet-baryon scattering lengths $a_{MB}$ to $\mathcal{O}(p^3)$ in the SU(3) heavy baryon chiral perturbation theory (HB$\chi$PT). Hopefully the obtained analytical expressions will be helpful in the chiral extrapolation of these scattering lengths in the future lattice simulation.

14 pages, 1 figure, 7 tables

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Cited by in corpus (32)

• Nuclear Physics from Lattice QCD
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• 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
• Pion photoproduction off the proton in a gauge-invariant chiral unitary framework
• Interaction of eta mesons with nuclei
• Hyperons in Two Flavor Chiral Perturbation Theory
• Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
• Low energy scattering phase shifts for meson-baryon systems
• $\Lambda \mathrm{K}$ femtoscopy in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c
• Decuplet contribution to the meson-baryon scattering lengths
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• 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
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Faddeev Calculation of ${}_{\Lambda }^3$H incorporating 2π-exchange $\Lambda$NN Interaction
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Hadronic interactions and nuclear physics
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Octet baryon and heavy meson interactions in chiral effective field theory
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory