Comment on "Scrutinizing pion-pion scattering in light of recent lattice phase shifts"

In a recent paper by Xiu-Li Gao, Zhi-Hui Guo, Zhiguang Xiao, and Zhi-Yong Zhou, Phys. Rev. D 105, 094002 (2022), here referred to as I, \(S\)-wave \(\pi\pi\) scattering phase shifts obtained in a lattice-QCD calculation are analyzed using dispersive \(S\)-matrix methods. We question the reliability...

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Bibliographic Details
Published in:arXiv.org 2023-02
Main Authors: Eef van Beveren, Rupp, George
Format: Article
Language:English
Subjects:
Pions
Resonance scattering
S waves
Online Access:Get full text
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Summary:In a recent paper by Xiu-Li Gao, Zhi-Hui Guo, Zhiguang Xiao, and Zhi-Yong Zhou, Phys. Rev. D 105, 094002 (2022), here referred to as I, \(S\)-wave \(\pi\pi\) scattering phase shifts obtained in a lattice-QCD calculation are analyzed using dispersive \(S\)-matrix methods. We question the reliability of the conclusion from this analysis that, for a pion mass of 391 MeV, the lattice phases favor the presence of both a \(\sigma\)-meson bound state and a nearby virtual state. Our main criticism concerns the neglect of the \(S\)-wave \(K\bar{K}\) channel, which was considered alongside additional \(s\bar{s}\) interpolating fields in the lattice computation used by the authors of I and also in typical coupled-channel models. As an illustration, some results from such a recent model are presented as well. Concluding remarks concern possible improvements of the analysis in I as well as further model tests.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.08809