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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.12552 |
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| _version_ | 1866912602248970240 |
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| author | Wei, Xiang Shen, Qing-Hua Liu, Xiao-Hai Xie, Ju-Jun |
| author_facet | Wei, Xiang Shen, Qing-Hua Liu, Xiao-Hai Xie, Ju-Jun |
| contents | We investigate the production of $ϕ(2170)$ state in the $e^+e^- \to ϕπ^+π^-$ reaction with the effective Lagrangian approach. In addition to the tree level contributions from the $ϕ(1680)$ meson and a possible X(1750) state, we consider also the $K_1$-$K$-$\bar{K}$ intermediate state process from the perspective of triangular singularity. Based on the one-photon exchange approximation, a pair of $K_1 \bar{K}$ mesons was firstly produced, and then the $K_1$ meson subsequently decays into $ϕ$ and $K$, and the $K\bar{K}$ pair produce the $π^+ π^-$ through the final state interactions, in which the scalar meson $f_0(980)$ is dynamically generated. We show that the inclusion of the triangle loop diagrams leads to a good description of the new BESIII measurements, especially for the structure of $ϕ(2170)$. This provides a novel interpretation of the $ϕ(2170)$ state, offering new insights into its fundamental nature which is still unclear. Furthermore, it is found that these measurements on the $e^+e^- \to ϕπ^+π^-$ reaction can be used to determine some of the properties of two $K_1$ mesons with masses around 1610 MeV and 1895 MeV, which are crucial to reproduce the experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12552 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shedding light on the nature of $ϕ(2170)$ state in the $e^+e^- \to ϕπ^+π^-$ reaction Wei, Xiang Shen, Qing-Hua Liu, Xiao-Hai Xie, Ju-Jun High Energy Physics - Phenomenology We investigate the production of $ϕ(2170)$ state in the $e^+e^- \to ϕπ^+π^-$ reaction with the effective Lagrangian approach. In addition to the tree level contributions from the $ϕ(1680)$ meson and a possible X(1750) state, we consider also the $K_1$-$K$-$\bar{K}$ intermediate state process from the perspective of triangular singularity. Based on the one-photon exchange approximation, a pair of $K_1 \bar{K}$ mesons was firstly produced, and then the $K_1$ meson subsequently decays into $ϕ$ and $K$, and the $K\bar{K}$ pair produce the $π^+ π^-$ through the final state interactions, in which the scalar meson $f_0(980)$ is dynamically generated. We show that the inclusion of the triangle loop diagrams leads to a good description of the new BESIII measurements, especially for the structure of $ϕ(2170)$. This provides a novel interpretation of the $ϕ(2170)$ state, offering new insights into its fundamental nature which is still unclear. Furthermore, it is found that these measurements on the $e^+e^- \to ϕπ^+π^-$ reaction can be used to determine some of the properties of two $K_1$ mesons with masses around 1610 MeV and 1895 MeV, which are crucial to reproduce the experimental data. |
| title | Shedding light on the nature of $ϕ(2170)$ state in the $e^+e^- \to ϕπ^+π^-$ reaction |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.12552 |