https://doi.org/10.1140/epjc/s10052-022-11103-4
Regular Article - Theoretical Physics
Chiral nonet mixing in 
scattering
1
Department of Mathematics and Physics, State University of New York, Polytechnic Institute, 13502, Utica, NY, USA
2
Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran
3
Department of Physics, Shiraz University, 71454, Shiraz, Iran
Received:
6
October
2022
Accepted:
5
December
2022
Published online:
15
December
2022
The generalized linear sigma model for mixing among two- and four-quark components of scalar (and pseudoscalar) mesons below and above 1 GeV is applied to the channel in which the isovector scalars 
and 
are probed. In the leading order, the model parameters have been previously fixed by various low-energy experimental data, and then applied to 
and 
channels in which the properties of the light and broad 
and 
mesons are extracted in agreement with estimates reported in the literature. With the same parameters fixed in the leading order, in the present work the prediction of the model for the scattering amplitude in the elastic region is given and unitarized with the K-matrix method. The poles of the unitarized scattering amplitude, which determine the mass and decay width of and are computed. It is found that the model predicts an isovector scalar state below 1 GeV, with mass 984 ± 6 MeV and decay width 108 ± 30 MeV which is a clear signal for the . The 
pole extracted in this work, further supports the plausibility of the mixing patterns for scalar mesons predicted by this model according to which there is a significant underlying mixing among scalars below and above 1 GeV, with those below 1 GeV being generally of four-quark nature while those above 1 GeV being overall closer to quark–antiquark states. Predictions for various scattering lengths as well as for properties of are also presented.
© The Author(s) 2022
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