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Publication Information
Title The $f_0(1370)$ controversy from dispersive meson-meson scattering data analyses
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.
Author(s) Arkaitz Rodas , Jose Pelaez, J. Ruiz de Elvira
Publication Date February 2023
Document Type Journal Article
Primary Institution Univ. Autonoma Madrid, Madrid, Spain
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP), DE-AC05-06OR23177, DE-SC0018416
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-22-3649 OSTI Number: 1922711
LANL Number: arXiv:2206.14822 Other Number: DOE/OR/23177-5531
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review Letters
Refereed No
Volume 130
Issue
Page(s) 051902
Attachments/Datasets/DOI Link
Document(s)
f0_1300__prl.pdf (STI Document)
PhysRevLett.130.051902.pdf (Accepted Manuscript)
PhysRevLett.130.051902.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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