The strong decays of X(3940) and X(4160)

Zhi-Hui Wang; Yi Zhang; Li-Bo Jiang; Tian-hong Wang; Yue Jiang; Guo-Li Wang

doi:10.1140/epjc/s10052-017-4596-0

EPJ

The strong decays of X(3940) and X(4160)

Zhi-Hui Wang¹^,2^*, Yi Zhang¹, Li-Bo Jiang³, Tian-hong Wang², Yue Jiang² and Guo-Li Wang²

¹ School of Electrical and Information Engineering, Beifang University of Nationalities, Yinchuan, 750021, People’s Republic of China
² Department of Physics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China
³ Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA, 15260, USA

Received: 23 August 2016
Accepted: 1 January 2017
Published online: 24 January 2017

Abstract

The new mesons X(3940) and X(4160) have been found by Belle Collaboration in the processes $e^+e^-\rightarrow J/\psi D^{(*)}{\bar{D}}^{(*)}$ . Considering X(3940) and X(4160) as $\eta _c(3S)$ and $\eta _c(4S)$ states, the two-body open charm OZI-allowed strong decay of $\eta _c(3S)$ and $\eta _c(4S)$ are studied by the improved Bethe–Salpeter method combined with the $$^3P_0$$

model. The strong decay width of $\eta _c(3S)$ is $\Gamma _{\eta _c(3S)}=(33.5^{+18.4}_{-15.3})$ MeV, which is close to the result of X(3940); therefore, $\eta _c(3S)$ is a good candidate of X(3940). The strong decay width of $\eta _c(4S)$ is $\Gamma _{\eta _c(4S)}=(69.9^{+22.4}_{-21.1})$ MeV, considering the errors of the results, it is close to the lower limit of X(4160). But the ratio of the decay width $\frac{\Gamma (D{\bar{D}}^*)}{\Gamma (D^*{\bar{D}}^*)}$ of $\eta _c(4S)$ is larger than the experimental data of X(4160). According to the above analysis, $\eta _c(4S)$ is not the candidate of X(4160), and more investigations of X(4160) is needed.

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EPJ

The strong decays of X(3940) and X(4160)

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