Isospin sum rules for the nonleptonic B decays

Di Wang

doi:10.1140/epjc/s10052-024-13349-6

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 949
https://doi.org/10.1140/epjc/s10052-024-13349-6

Regular Article - Theoretical Physics

Isospin sum rules for the nonleptonic B decays

Di Wang^a

Department of Physics, Hunan Normal University, 410081, Changsha, China

^a wangdi@hunnu.edu.cn

Received: 13 July 2024
Accepted: 5 September 2024
Published online: 19 September 2024

Abstract

Isospin symmetry, as the most precise flavor symmetry, can be used to extract information about hadronic dynamics. The effective Hamiltonian for bottom quark weak decay is zero under the isospin lowering operators $I_{-}^{n}$ $$I_-^n$$ , which allows us to generate isospin sum rules through several master formulas. In this work, we derive the master formulas of isospin sum rules for the two- and three-body non-leptonic decays of B mesons. Numerous new isospin sum rules, especially those involving three or more decay channels, are proposed. The isospin sum rules can be used to test isospin symmetry and provide hints the isospin partners of exotic hadrons in B decays. It is found ten percent isospin breaking only in decay modes involving two vector mesons, indicating the complex dynamics of vector mesons. Besides, the isospin analysis suggests the charm tetraquark resonances might be observed in the $B^{-} \to J / Ψ π^{-} {\bar{K}}^{0}$ $B^- \rightarrow J/\Psi \pi ^-\overline{K}^0$ , ${\bar{B}}^{0} \to J / Ψ {\bar{K}}^{0} ϕ$ $\overline{B}^0 \rightarrow J/\Psi \overline{K}^0\phi$ , and ${\bar{B}}^{0} \to D^{0} {\bar{D}}^{0} {\bar{K}}^{0}$ $\overline{B}^0\rightarrow D^0\overline{D}^0\overline{K}^0$ modes.

© The Author(s) 2024

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