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Chiral study of the a(0)(980) resonance and pi eta scattering phase shifts in light of a recent lattice simulation

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摘要

We investigate the a(0)(980) resonance within chiral effective field theory through a three-coupledchannel analysis, namely, pi eta, KK- , and pi eta('). 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 -> 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(') mesons. The inelasticities, the pole positions in the complex energy plane, and their residues are calculated both for unphysical and physical meson masses.

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