Cross-channel constraints on resonant antikaon-nucleon scattering

Abstract

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative channels. In this letter, we report on the first global study of meson-baryon scattering up to one-loop order. It is shown that covariant baryon chiral perturbation theory, including its unitarization for the negative strangeness sector, can describe meson-baryon scattering data remarkably well. This provides a highly non-trivial check on the validity of this important low-energy effective field theory of QCD. We show that the $\bar{K}N$ related quantities can be better described in comparison with those of lower-order studies, and with reduced uncertainties due to the stringent constraints from the $\pi N$ and $KN$ phase shifts. In particular, we find that the two-pole structure of $\Lambda (1405)$ persists up to one-loop order reinforcing the existence of two-pole structures in dynamically generated states.

11 pages, 3 figures; to appear in Physical Review Letters

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Cited by in corpus (16)

• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Compositeness of hadrons, nuclei, and atomic systems
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Octet baryon and heavy meson interactions in chiral effective field theory
• Producing $\Lambda (1405)$ and $\Lambda (1520)$ in ${\pi }^{-}p$ reaction to explore their inner structures
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram