Publications
Publication Information
| 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 DE-SC0018416 |
|
Journal 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 |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevLett.130.051902 |
| Accepted Manuscript: | PhysRevLett.130.051902.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |