The f0(1370) controversy from dispersive meson-meson scattering data analyses
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913442618671104 |
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| author | Pelaez, Jose Ramon Rodas, Arkaitz de Elvira, Jacobo Ruiz |
| author_facet | Pelaez, Jose Ramon Rodas, Arkaitz de Elvira, Jacobo Ruiz |
| contents | 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 $(1245\pm 40)- i\,(300^{+30}_{-70})$ MeV in $ππ$ scattering. We also provide the couplings as well as further checks extrapolating partial-wave dispersion relations or with other continuation methods. A pole at $(1380^{+70}_{-60})-i\,(220^{+80}_{-70})$ MeV also appears in the $ππ\to K\bar K$ 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 $ππ$ and $K\bar K$ channels that should be attributed to data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_14822 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The f0(1370) controversy from dispersive meson-meson scattering data analyses Pelaez, Jose Ramon Rodas, Arkaitz de Elvira, Jacobo Ruiz High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory 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 $(1245\pm 40)- i\,(300^{+30}_{-70})$ MeV in $ππ$ scattering. We also provide the couplings as well as further checks extrapolating partial-wave dispersion relations or with other continuation methods. A pole at $(1380^{+70}_{-60})-i\,(220^{+80}_{-70})$ MeV also appears in the $ππ\to K\bar K$ 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 $ππ$ and $K\bar K$ channels that should be attributed to data. |
| title | The f0(1370) controversy from dispersive meson-meson scattering data analyses |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2206.14822 |