Determination of the $K^{+}\bar{K}^{0}$ scattering length and effective range and its relation to the $a_{0}^{+}(980)$ from the $χ_{c1}\toπ^{+}π^{-}η$ reaction
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916421388206080 |
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| author | Li, Hai-Peng Lin, Jia-Xin Liang, Wei-Hong Oset, Eulogio |
| author_facet | Li, Hai-Peng Lin, Jia-Xin Liang, Wei-Hong Oset, Eulogio |
| contents | We analyze the clean cusp, seen in the $ηπ$ mass distribution with high precision of the $χ_{c1} \to ηπ^+ π^-$ reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length $a$ and effective range $r_0$ of $K^+ \bar{K}^{0}$. For that, we follow a previous theoretical work that gave a good reproduction of these data using the chiral unitary approach for the meson-meson interaction, and allow some flexibility in the input to carry a better fit to the data. The important task of determining the uncertainties in the scattering parameters is done using the resampling method and an accuracy in $a$ and $r_0$ is obtained better than $20\%$. The effective range is determined for the first time with this analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16696 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Determination of the $K^{+}\bar{K}^{0}$ scattering length and effective range and its relation to the $a_{0}^{+}(980)$ from the $χ_{c1}\toπ^{+}π^{-}η$ reaction Li, Hai-Peng Lin, Jia-Xin Liang, Wei-Hong Oset, Eulogio High Energy Physics - Phenomenology We analyze the clean cusp, seen in the $ηπ$ mass distribution with high precision of the $χ_{c1} \to ηπ^+ π^-$ reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length $a$ and effective range $r_0$ of $K^+ \bar{K}^{0}$. For that, we follow a previous theoretical work that gave a good reproduction of these data using the chiral unitary approach for the meson-meson interaction, and allow some flexibility in the input to carry a better fit to the data. The important task of determining the uncertainties in the scattering parameters is done using the resampling method and an accuracy in $a$ and $r_0$ is obtained better than $20\%$. The effective range is determined for the first time with this analysis. |
| title | Determination of the $K^{+}\bar{K}^{0}$ scattering length and effective range and its relation to the $a_{0}^{+}(980)$ from the $χ_{c1}\toπ^{+}π^{-}η$ reaction |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.16696 |