Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation

Abstract

We investigate the $a_0(980)$ resonance within chiral effective field theory through a three-coupled-channel analysis, namely $\pi \eta$, $K\bar{K}$ and $\pi {\eta }^{\prime }$. A global fit to recent lattice finite-volume energy levels from $\pi \eta$ scattering and relevant experimental data on a $\pi \eta$ event distribution and the $\gamma \gamma \to \pi \eta$ cross section is performed. Both the leading and next-to-leading-order analyses lead to similar and successful descriptions of the finite-volume energy levels and the experimental data. However, these two different analyses yield different $\pi \eta$ scattering phase shifts for the physical masses for the $\pi ,K,\eta$ and ${\eta }^{\prime }$ mesons. The inelasticities, the pole positions in the complex energy plane and their residues are calculated both for unphysical and physical meson masses.

34 pages, 14 figures, 2 tables. To match the published version in PRD

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Cited by in corpus (11)

• Three-body Unitarity in the Finite Volume
• Effective-field theory analysis of the ${\tau }^{-}\to (K\pi {)}^{-}{\nu }_{\tau }$ decays
• Effective-field theory analysis of the ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }$ decays
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Effective-field theory analysis of the ${\tau }^{-}\to K^{-}({\eta }^{(\prime )},K^0){\nu }_{\tau }$ decays
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Unitarization Technics in Hadron Physics with Historical Remarks
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• $N_C$ evolution of the light meson resonances