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Title The $f_0(1370)$ controversy from dispersive meson-meson scattering data analyses
Authors Arkaitz Rodas, Jose Pelaez, J. Ruiz de Elvira
JLAB number JLAB-THY-22-3649
LANL number arXiv:2206.14822
Other number DOE/OR/23177-5531
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:DE-AC05-06OR23177

Compiled for Physical Review Letters
Volume 130
Page(s) 051902
Publication Abstract: We establish the existence of the long-debated $f_0(1370)$ resonance in the dispersive analyses of meson-meson scattering data. For this, we present a novel approach using forward dispersion relations, valid for generic inelastic resonances. We find its pole at $\left(1245\pm40\right)-i\,\left(300^{+30}_{-70}\right)$ MeV in $\pi\pi$ scattering. We also provide the couplings as well as further checks extrapolating partial-wave dispersion relations or with other continuation methods. A pole at $\left(1380^{+70}_{-60}\right)-i\,\left(220^{+80}_{-70}\right)$ MeV also appears in the $\pi\pi\to K\bar K$ data analysis with partial-wave dispersion relations. Despite settling its existence, our model-independent dispersive and analytic methods still show a lingering tension between pole parameters from the $\pi\pi$ and $K\bar K$ channels that should be attributed to data.
Experiment Numbers: other
Document: pdf
Accepted Manuscript: PhysRevLett.130.051902.pdf
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