form factors and the width effect from light-cone sum rules

Shan Cheng; Jian-Ming Shen

doi:10.1140/epjc/s10052-020-8124-2

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 554
https://doi.org/10.1140/epjc/s10052-020-8124-2

Regular Article - Theoretical Physics

$\bar{B}_s \rightarrow f_0(980)$ form factors and the width effect from light-cone sum rules

Shan Cheng^* and Jian-Ming Shen

School of Physics and Electronics, Hunan University, Changsha, 410082, People’s Republic of China

^* e-mail: scheng@hnu.edu.cn

Received: 20 February 2020
Accepted: 6 June 2020
Published online: 18 June 2020

Abstract

In this paper we calculate the $\bar{B}_s \rightarrow f_0(980)$ form factors from light-cone sum rules with B meson DAs. With adopting the quark–antiquark configuration of light scalar mesons, the high twist two-particle and the three-particle contributions are found to be $\sim 25\%$ individual, and totally they give about $50\%$ correction to certain form factors in the considered energy regions. We further explore the light-cone sum rules approach to study the $$S-$$ wave $\bar{B}_s \rightarrow KK$ form factors, the $$f_0+f'_0+f''_0$$ resonance model is proposed and the result shows that the background effect from $$f'_0+f''_0$$ accounts $\sim 5\%$ . As a by-product, we extract the strong coupling $|g_{f_0 KK }| = 1.08^{+0.05}_{-0.14}$ GeV with taking the $\bar{B}_s \rightarrow f_0(980)$ form factors calculated previous under the narrow width approximation.