Selected decays of meson in covariant confined quark model

Stanislav Dubnička; Anna Zuzana Dubničková; Mikhail A. Ivanov; Andrej Liptaj

doi:10.1140/epja/s10050-026-01868-7

2025 Impact factor 3.0

Hadrons and Nuclei

Open Access

Eur. Phys. J. A (2026) 62: 106
https://doi.org/10.1140/epja/s10050-026-01868-7

Regular Article - Theoretical Physics

Selected decays of $B_{s}$ $Mathematical equation: $$B_{s}$$$ meson in covariant confined quark model

Stanislav Dubnička¹, Anna Zuzana Dubničková², Mikhail A. Ivanov³ and Andrej Liptaj¹^a

¹ Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia
² Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia
³ Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia

^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 3 February 2026
Accepted: 22 April 2026
Published online: 27 May 2026

Abstract

We present a study of various $B_{s}$ $Mathematical equation: $$B_{s}$$$ meson decays, including hadronic and semileptonic final states with different spins and diagram topologies. The covariant confined quark model is employed to describe hadronic effects, and our analysis serves as a broad test of the current understanding of the underlying dynamics within the Standard Model. The level of agreement with experimental data varies across channels: it is good for the semileptonic decays $B_{s}^{0} \to D_{s}^{-} μ^{+} ν_{μ}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}\mu ^{+}\nu _{\mu }$$$ and $B_{s}^{0} \to K^{-} μ^{+} ν_{μ}$ $Mathematical equation: $$B_{s}^{0}\rightarrow K^{-}\mu ^{+}\nu _{\mu }$$$ ; acceptable for the hadronic modes $B_{s}^{0} \to D_{s}^{-} D^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}D^{+}$$$ and $B_{s}^{0} \to K^{-} π^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow K^{-}\pi ^{+}$$$ ; marginal for $B_{s}^{0} \to D_{s}^{-} π^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}\pi ^{+}$$$ , $B_{s}^{0} \to D_{s}^{-} ρ^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}\rho ^{+}$$$ , and $B_{s}^{0} \to ϕ J / ψ$ $Mathematical equation: $$B_{s}^{0}\rightarrow \phi \,J/\psi $$$ ; and significantly discrepant for $B_{s}^{0} \to ϕ \bar{D^{0}}$ $Mathematical equation: $$B_{s}^{0}\rightarrow \phi \,\overline{D^{0}}$$$ and $B_{s}^{0} \to ϕ η_{c}$ $Mathematical equation: $$B_{s}^{0}\rightarrow \phi \,\eta _{c}$$$ . We argue that the observed inconsistencies may arise from the breakdown of naive factorization and unaccounted long-distance effects. In particular, the channels $B_{s}^{0} \to D_{s}^{-} π^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}\pi ^{+}$$$ and $B_{s}^{0} \to D_{s}^{-} ρ^{+}$ $Mathematical equation: $$B_{s}^{0}\rightarrow D_{s}^{-}\rho ^{+}$$$ are theoretically among the cleanest nonleptonic decays, yet they exhibit persistent discrepancies also reported by other theoretical groups.

Communicated by Rishi Sharma.

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Selected decays of Bs meson in covariant confined quark model

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Selected decays of $B_{s}$ $Mathematical equation: $$B_{s}$$$ meson in covariant confined quark model