论文标题
$ e^+e^ - \ to j/ψ\，ππ\，（k \ bar {k}）$ processes的同时描述
Simultaneous description of the $e^+e^- \to J/ ψ\, ππ\, (K \bar{K})$ processes
论文作者
论文摘要
在这项工作中，我们提供了$π^+π^ - $和$π^{\ pm} j/ψ$不变质量分布的$π^+π^ - $的同时且准确的描述。 π^+π^ - $与$ e^+ e^ - \ to j/ψ\; k^+k^ - $交叉部分$ e^+e^ - $质量中心能量$ q = 4.23 $ gev和$ q = 4.26 $ gev。 S和D波中的乳头之间的撤退作用通过Muskhelishvili-Omnès形式主义考虑在内。由于$ππ$不变质量的物理区域扩展到1 GEV以上，因此通过耦合通道单位性实现了S-Wave中的重要$ k \ bar {k} $中间状态。对于左手切割，我们将$ t $ - $ t $ - $ u $ channels的良好充电的外来国家$ z_c（3900）$负责，而其他贡献则在减法常数中被吸收。对于$ e^+ e^ - \ to j/ψ\，k \ bar {k} $，我们提供了两个kaon不变质量分布的预测。构造的幅度是解释Besiii和Belle II合作的当前和即将进行的测量的重要框架。
In this work, we provide a simultaneous and accurate description of the $π^+π^-$ and $π^{\pm} J/ψ$ invariant mass distributions of the recent BESIII data on $e^+ e^- \to J/ψ\; π^+ π^-$ together with the $e^+ e^- \to J/ψ\; K^+K^-$ cross sections at $e^+e^-$ center-of-mass energies $q=4.23$ GeV and $q=4.26$ GeV. The rescattering effects between pions in the S and D-waves are taken into account through the Muskhelishvili-Omnès formalism. Since the physical region of the $ππ$ invariant mass extends above 1 GeV, the important $K\bar{K}$ intermediate state in the S-wave is implemented through coupled-channel unitarity. For the left-hand cuts, we account for the well established charged exotic state $Z_c(3900)$ in $t$- and $u$-channels, while the other contributions are absorbed in the subtraction constants. For the $e^+ e^- \to J/ψ\, K \bar{K}$ we provide the prediction of the two-kaon invariant mass distribution. The constructed amplitudes serve as an essential framework to interpret the present and forthcoming measurements by the BESIII and Belle II Collaborations.
