Chiral dynamics and S-wave contributions in decays

Yu-Ji Shi; Ulf-G. Meißner

doi:10.1140/epjc/s10052-021-09208-3

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 412
https://doi.org/10.1140/epjc/s10052-021-09208-3

Regular Article - Theoretical Physics

Chiral dynamics and S-wave contributions in ${\bar{B}}^{0} / D^{0} \to π^{\pm} η l^{\mp} ν$ ${\bar{B}}^0/D^0 \rightarrow \pi ^{\pm }\eta \ l^{\mp } \nu$ decays

Yu-Ji Shi¹^a and Ulf-G. Meißner¹^,2^,3

¹ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
² Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
³ Tbilisi State University, 0186, Tbilisi, Georgia

^a shiyuji92@126.com

Received: 1 April 2021
Accepted: 2 May 2021
Published online: 11 May 2021

Abstract

In this work, we analyze the semi-leptonic decays ${\bar{B}}^{0} / D^{0} \to (a_{0} {(980)}^{\pm} \to π^{\pm} η) l^{\mp} ν$ $\bar{B}^0/D^0 \rightarrow (a_0(980)^{\pm }\rightarrow \pi ^{\pm }\eta ) l^{\mp } \nu$ within light-cone sum rules. The two and three-body light-cone distribution amplitudes (LCDAs) of the B meson and the only available two-body LCDA of the D meson are used. To include the finite-width effect of the $a_{0} (980)$ $$a_0(980)$$ , we use a scalar form factor to describe the final-state interaction between the $π η$ $\pi \eta$ mesons, which was previously calculated within unitarized Chiral Perturbation Theory. The result for the decay branching fraction of the $D^{0}$ $$D^0$$ decay is in good agreement with that measured by the BESIII Collaboration, while the branching fraction of the ${\bar{B}}^{0}$ ${\bar{B}}^0$ decay can be tested in future experiments.

© The Author(s) 2021

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