Phenomenological description of the $D^*_{s0}(2317)\to D_sπ^0$ decay
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914136627085312 |
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| author | Achasov, N. N. Shestakov, G. N. |
| author_facet | Achasov, N. N. Shestakov, G. N. |
| contents | For coupled channels $D^0K^+$, $D^+K^0$, $D_s^+η$, and $D_s^+π^0$, the $S$-wave scattering amplitudes are constructed taking into account the mixing of the isoscalar resonance $D^*_{s0}(2317)^+$ with nonresonance amplitudes with isospin $I=1$. The phenomenological approach we use allows us to quite simply clear up the general structure of the $D^*_{s0}(2317)^+\to D_s^+π^0$ decay amplitude violating isospin. We show that the phase of this amplitude coincides with the phase of the nonresonanct $D_s^+π^0 $ scattering amplitude in agreement with the Watson theorem. Its modulus squared, as it should be, determines the width of the resonance peak in the $D_s^+π^0$ channel. Taking into account the $π^0-η$ mixing in internal lines up to the second order inclusively ensures that the unitarity condition is fulfilled. The presented analysis complements the description of the $D^*_{s0}(2317 )^+\to D_s^+π^0$ decay based on the coupled channel unitarized chiral perturbation theory. The numerical estimates obtained by us for the $D^*_{s0}(2317)^+\to D_s^+π^0$ decay width do not contradict those available in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phenomenological description of the $D^*_{s0}(2317)\to D_sπ^0$ decay Achasov, N. N. Shestakov, G. N. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory For coupled channels $D^0K^+$, $D^+K^0$, $D_s^+η$, and $D_s^+π^0$, the $S$-wave scattering amplitudes are constructed taking into account the mixing of the isoscalar resonance $D^*_{s0}(2317)^+$ with nonresonance amplitudes with isospin $I=1$. The phenomenological approach we use allows us to quite simply clear up the general structure of the $D^*_{s0}(2317)^+\to D_s^+π^0$ decay amplitude violating isospin. We show that the phase of this amplitude coincides with the phase of the nonresonanct $D_s^+π^0 $ scattering amplitude in agreement with the Watson theorem. Its modulus squared, as it should be, determines the width of the resonance peak in the $D_s^+π^0$ channel. Taking into account the $π^0-η$ mixing in internal lines up to the second order inclusively ensures that the unitarity condition is fulfilled. The presented analysis complements the description of the $D^*_{s0}(2317 )^+\to D_s^+π^0$ decay based on the coupled channel unitarized chiral perturbation theory. The numerical estimates obtained by us for the $D^*_{s0}(2317)^+\to D_s^+π^0$ decay width do not contradict those available in the literature. |
| title | Phenomenological description of the $D^*_{s0}(2317)\to D_sπ^0$ decay |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.15224 |