Phenomenological description of the $D^*_{s0}(2317)\to D_s\pi^0$ decay

Phenomenological description of the $D^*_{s0}(2317)\to D_s\pi^0$ decay Full article

Journal

Physical Review D: Particles and fields
ISSN: 2470-0010 , E-ISSN: 2470-0029

Output data

Year: 2025, Volume: 112, Pages: 096004 Pages count : 9 DOI: 10.1103/jwkb-3zl9

Authors

Achasov N.N. ¹ , Shestakov G.N. ¹

Affiliations

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

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0021

For coupled channels D0Kþ, DþK0, Dþs η, and Dþs π0, the S-wave scattering amplitudes are constructed taking into account the mixing of the isoscalar resonance D s0 ð2317Þþ with nonresonance amplitudes with isospin I ¼ 1. The phenomenological approach we use allows us to quite simply clear up the general structure of the D s0 ð2317Þþ → Dþs π0 decay amplitude violating isospin. We show that the phase of this amplitude coincides with the phase of the nonresonanct Dþs π0 scattering amplitude in agreement with the Watson theorem. Its modulus squared, as it should be, determines the width of the resonance peak in the Dþs π0 channel. Taking into account the π0 − 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 ð2317Þþ → Dþs π0 decay based on the coupled channel unitarized chiral perturbation theory. The numerical estimates obtained by us for the D s0 ð2317Þþ → Dþs π0 decay width do not contradict those available in the literature.

Achasov N.N. , Shestakov G.N.
Phenomenological description of the $D^*_{s0}(2317)\to D_s\pi^0$ decay
Physical Review D: Particles and fields. 2025. V.112. P.096004. DOI: 10.1103/jwkb-3zl9 OpenAlex

Submitted:	Aug 21, 2025
Accepted:	Sep 30, 2025
Published print:	Nov 4, 2025
Published online:	Nov 4, 2025

OpenAlex:

W4415897925

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