Estimate of the $S$-wave $D^*K$ scattering length in the isospin-0 channel from Belle and LHCb data
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| Format: | Preprint |
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2024
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| _version_ | 1866908330676453376 |
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| author | Achasov, N. N. Shestakov, G. N. |
| author_facet | Achasov, N. N. Shestakov, G. N. |
| contents | It is shown that the Belle and LHCb data on the interference of the amplitudes of the $S$ and $D$ partial waves in the decays $D_{s1}(2536 )^+\to D^{*+}K^0_S$ and $D_{s1}(2536)^-\to\bar D^{*0}K^-$ allow us to obtain an estimate of the $S$-wave $D^*K$ scattering length in the channel with isospin $I=0$: $|a^{(0)}_{D^*K}|=(0.94\pm0.06)$ fm. The possibility of explaining the found value by the contribution of the $D_{s1}(2460)$ resonance is discussed. The decay of $B_{s1}(5830)\to B^*\bar K$ is also briefly discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_00377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimate of the $S$-wave $D^*K$ scattering length in the isospin-0 channel from Belle and LHCb data Achasov, N. N. Shestakov, G. N. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory It is shown that the Belle and LHCb data on the interference of the amplitudes of the $S$ and $D$ partial waves in the decays $D_{s1}(2536 )^+\to D^{*+}K^0_S$ and $D_{s1}(2536)^-\to\bar D^{*0}K^-$ allow us to obtain an estimate of the $S$-wave $D^*K$ scattering length in the channel with isospin $I=0$: $|a^{(0)}_{D^*K}|=(0.94\pm0.06)$ fm. The possibility of explaining the found value by the contribution of the $D_{s1}(2460)$ resonance is discussed. The decay of $B_{s1}(5830)\to B^*\bar K$ is also briefly discussed. |
| title | Estimate of the $S$-wave $D^*K$ scattering length in the isospin-0 channel from Belle and LHCb data |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2411.00377 |