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Phenomenological description of the $D_{s 0}^{*} (2317) \to D_{s} π^{0}$ decay

Laboratory of Theoretical Physics, S. L. Sobolev Institute for Mathematics, 630090, Novosibirsk, Russia

^*Contact author: achasov@math.nsc.ru
^†Contact author: shestako@math.nsc.ru

Phys. Rev. D 112, 096004 – Published 4 November, 2025

DOI: https://doi.org/10.1103/jwkb-3zl9

Abstract

For coupled channels $D^{0} K^{+}$ , $D^{+} K^{0}$ , $D_{s}^{+} η$ , and $D_{s}^{+} π^{0}$ , the $S$ -wave scattering amplitudes are constructed taking into account the mixing of the isoscalar resonance $D_{s 0}^{*} (2317)^{+}$ with nonresonance amplitudes with isospin $I = 1$ . The phenomenological approach we use allows us to quite simply clear up the general structure of the $D_{s 0}^{*} (2317)^{+} \to D_{s}^{+} π^{0}$ 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 $D_{s 0}^{*} (2317)^{+} \to D_{s}^{+} π^{0}$ decay based on the coupled channel unitarized chiral perturbation theory. The numerical estimates obtained by us for the $D_{s 0}^{*} (2317)^{+} \to D_{s}^{+} π^{0}$ decay width do not contradict those available in the literature.

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Phys. Rev. D 112, 096004– Published 4 November, 2025

Vol. 112, Iss. 9 — 1 November 2025

Received 21 August 2025
Accepted 30 September 2025

DOI: https://doi.org/10.1103/jwkb-3zl9

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Phenomenological description of the $D_{s 0}^{*} (2317) \to D_{s} π^{0}$ decay

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Phenomenological description of the Ds0*(2317)→Dsπ0 decay

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Phenomenological description of the $D_{s 0}^{*} (2317) \to D_{s} π^{0}$ decay