X(3860) production in association with via annihilation at Belle

Gui-Yuan Zhang; Cong Li; Ying-Zhao Jiang; Zhan Sun

doi:10.1140/epjc/s10052-023-11538-3

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 384
https://doi.org/10.1140/epjc/s10052-023-11538-3

Regular Article - Theoretical Physics

X(3860) production in association with $J / ψ$ $J/\psi$ via $e^{+} e^{-}$ $e^{+}e^{-}$ annihilation at Belle

Gui-Yuan Zhang, Cong Li, Ying-Zhao Jiang and Zhan Sun^d

Department of Physics, Guizhou Minzu University, 550025, Guiyang, People’s Republic of China

^d zhansun@cqu.edu.cn

Received: 17 March 2023
Accepted: 18 April 2023
Published online: 9 May 2023

Abstract

In this paper, we study the X(3860) production associated with $J / ψ$ $J/\psi$ via $e^{+} e^{-}$ $e^{+}e^{-}$ annihilation at the next-to-leading-order (NLO) accuracy in $α_{s}$ $\alpha _s$ , within the nonrelativistic QCD (NRQCD) framework. With the hypothesis of $J_{X (3860)}^{PC} = 0^{+ +}$ $J^{PC}_{X(3860)}=0^{++}$ , the predictions of $σ_{e^{+} e^{-} \to J / ψ + X (3860)}$ $\sigma _{e^{+}e^{-} \rightarrow J/\psi +X(3860)}$ agree well with the Belle measurements, whereas the results following the $2^{+ +}$ $2^{++}$ assignment significantly undershoot the data. This is consistent with the Belle’s conclusion that the $0^{+ +}$ $0^{++}$ hypothesis is favored over the $2^{+ +}$ $2^{++}$ hypothesis for X(3860). Despite fitting the data of the total cross section, the NRQCD predictions seem to be incompatible with the measured $J / ψ$ $J/\psi$ angular distributions. We simultaneously calculate the cross section of $e^{+} e^{-} \to J / ψ + X (3940)$ $e^{+}e^{-} \rightarrow J/\psi +X(3940)$ under the assumption of $J_{X (3940)}^{PC} = 0^{- +}$ $J^{PC}_{X(3940)}=0^{-+}$ , discovering the consistency of the NRQCD predictions with the light-cone results as well as the experiment.

© The Author(s) 2023

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