Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

Abstract

We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent combinations of low-energy constants are determined by fitting to phase shifts of $\pi N$ and $KN$ scattering and the corresponding data. By using these low-energy constants, we obtain the strong phase shift difference of $\pi \Lambda$ scattering at the $\Xi$ mass, ${\delta }_P-{\delta }_S=(8.8\pm 0.2)$ degrees, in agreement with experimental results. We find that the phase shifts in the $S_{01}$($\pi \Sigma$), $S_{01}$($K\Xi$), $S_{01}$($\overline{K}N$), and $S_{11}$($\overline{K}\Sigma$) waves are so strong that resonances may be generated dynamically in all these channels. We also predict the scattering lengths and make comparisons with the results obtained from the threshold T-matrices in heavy baryon chiral perturbation theory and the method of covariant infrared regularization. The issue of convergence is also discussed in detail.

25 pages, 8 figures, 1 table

References in corpus (17)

• Non-relativistic effective theory of dark matter direct detection
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Chiral Effective Theory of Dark Matter Direct Detection
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• On the chiral effective meson-baryon Lagrangian at third order
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Meson-baryon scattering lengths in HB$\chi$PT
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Decuplet contribution to the meson-baryon scattering lengths
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Masses, Lifetimes and Production Rates of Xi- and anti-Xi+ at LEP 1

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• Production and decay of polarized hyperon-antihyperon pairs
• 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
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Precise Measurement of Matter-Antimatter Asymmetry with Entangled Hyperon Antihyperon Pairs
• Octet baryon and heavy meson interactions in chiral effective field theory
• New Window on Matter-Antimatter Differences
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory