Testing the light scalar meson as a non-$q\bar q$ state in semileptonic $D$ decays
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| Format: | Preprint |
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2023
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| _version_ | 1866915085683785728 |
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| author | Hsiao, Yu-Kuo Yang, Shu-Qi Wei, Wen-Juan Ke, Bai-Cian |
| author_facet | Hsiao, Yu-Kuo Yang, Shu-Qi Wei, Wen-Juan Ke, Bai-Cian |
| contents | While the light scalar mesons ($S_0$) are considered to be either ordinary $q\bar q$ or exotic tetraquark states, we investigate the semileptonic decays $D\to S_0 e^+ν_e$, by taking into account the resonant effects of $S_0\to M_1 M_2$, where $S_0=a_0(980)$, $f_0(980)$, and $f_0(500)/σ_0$, and $M_{1(2)}$ represents a pseudoscalar meson. For the first time, the $D\to S_0$ form factors in the two quark structures are both presented. Subsequently, we calculate ${\cal B}(D_s^+\to σ_0 e^+ν_e,σ_0\toπ^+π^-)=(20.3\pm 1.8\pm 0.5)\times 10^{-4}$ in the $q\bar q$ structure, showing significant $9σ$ deviations from the experimental upper limit of $3.3\times 10^{-4}$. In contrast, ${\cal B}(D_s^+\to σ_0 e^+ν_e,σ_0\toπ^+π^-)=(0.58^{+1.43}_{-0.57}\pm 0.01)\times 10^{-4}$ in the $q^2\bar q^2$ structure is within the allowed experimental range. Clearly, the light scalar meson is tested as a non-$q\bar q$ state. We hence demonstrate a highly sensitive new approach for exploring the true nature of scalar mesons, which can be extended to non-leptonic $D$ decays as well as $B$ meson decays. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_06091 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Testing the light scalar meson as a non-$q\bar q$ state in semileptonic $D$ decays Hsiao, Yu-Kuo Yang, Shu-Qi Wei, Wen-Juan Ke, Bai-Cian High Energy Physics - Phenomenology High Energy Physics - Experiment While the light scalar mesons ($S_0$) are considered to be either ordinary $q\bar q$ or exotic tetraquark states, we investigate the semileptonic decays $D\to S_0 e^+ν_e$, by taking into account the resonant effects of $S_0\to M_1 M_2$, where $S_0=a_0(980)$, $f_0(980)$, and $f_0(500)/σ_0$, and $M_{1(2)}$ represents a pseudoscalar meson. For the first time, the $D\to S_0$ form factors in the two quark structures are both presented. Subsequently, we calculate ${\cal B}(D_s^+\to σ_0 e^+ν_e,σ_0\toπ^+π^-)=(20.3\pm 1.8\pm 0.5)\times 10^{-4}$ in the $q\bar q$ structure, showing significant $9σ$ deviations from the experimental upper limit of $3.3\times 10^{-4}$. In contrast, ${\cal B}(D_s^+\to σ_0 e^+ν_e,σ_0\toπ^+π^-)=(0.58^{+1.43}_{-0.57}\pm 0.01)\times 10^{-4}$ in the $q^2\bar q^2$ structure is within the allowed experimental range. Clearly, the light scalar meson is tested as a non-$q\bar q$ state. We hence demonstrate a highly sensitive new approach for exploring the true nature of scalar mesons, which can be extended to non-leptonic $D$ decays as well as $B$ meson decays. |
| title | Testing the light scalar meson as a non-$q\bar q$ state in semileptonic $D$ decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2306.06091 |