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

References in corpus (15)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Isoscalar meson spectroscopy from lattice QCD
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Scalar mesons in a finite volume
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Identification of a Scalar Glueball
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• Scrutinizing the eta-eta' mixing, masses and pseudoscalar decay constants in the framework of U(3) chiral effective field theory
• K-pi interaction in finite volume and the K* resonance

Cited by in corpus (23)

• Three-body Unitarity in the Finite Volume
• Towards a theory of hadron resonances
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^{+}\to {\pi }^{+}{\pi }^0\eta$
• Exclusive hadronic tau decays as probes of non-SM interactions
• Effective-field theory analysis of the ${\tau }^{-}\to (K\pi {)}^{-}{\nu }_{\tau }$ decays
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• 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
• The light scalars: four- vs. two-quark states in the complex energy plane from Bethe-Salpeter equations
• Revisit of tensor-meson nonet in resonance chiral theory
• Cross sections for 2-to-1 meson-meson scattering
• 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
• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• $N_C$ evolution of the light meson resonances