论文标题

隐藏式Tetraquark状态的统一说明$ z_ {cs}(3985)$,$ z_c(3900)$和$ x(4020)$

A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$

论文作者

Guo, Zhi-Hui, Oller, J. A.

论文摘要

新观察到的隐藏障碍Tetraquark State $ Z_ {CS}(3985)$,以及$ Z_C(3900)$和$ X(4020)$的$ Z_ {CS}(3985)$,在有效范围扩展,合成关系和衰减宽度宽度饱和度中的合并理论框架进行了研究。弹性有效范围扩散方法可为散射长度,有效范围和综合系数(即$)带来明智的结果,即$ $,在Tetraquark状态下找到两链 - 梅森分子成分的概率。耦合通道形式主义包括$ j/ψπ$和$ d \ bar {d}^*/\ bar {d} d^*$来满足综合关系的约束和衰减宽度的约束,确认了弹性有效范围的结果,用于使用$ z_c(3900)$的弹性范围膨胀结果,以实验的范围(3900)$ $ d \ bar {d}^*/\ bar {d} d^*$和$ j/ψπ$。通过包括$ z_ {cs}(3985)$的弹性有效范围研究的结果,我们将讨论推广到$ z_ {cs}(3985)$,包括包括$ j/ψk^{ - } $和$ d_s^{ - } d_s^{ - } d^{ - } d^{ $ j/ψk^{ - } $。还包括$h_cπ$和$ d^*\ bar {d}^*$,对$ x(4020)$进行了类似的计算,并预测了$h_cπ$的部分衰减宽度。我们的结果可以为将来的实验测量提供有用的准则。

The newly observed hidden-charm tetraquark state $Z_{cs}(3985)$, together with $Z_c(3900)$ and $X(4020)$, are studied in the combined theoretical framework of the effective range expansion, compositeness relation and the decay width saturation. The elastic effective-range-expansion approach leads to sensible results for the scattering lengths, effective ranges and the compositeness coefficients, $i.e.$, the probabilities to find the two-charm-meson molecule components in the tetraquark states. The coupled-channel formalism by including the $J/ψπ$ and $D\bar{D}^*/\bar{D}D^*$ to fulfill the constraints of the compositeness relation and the decay width, confirms the elastic effective-range-expansion results for the $Z_c(3900)$, by using the experimental inputs for the ratios of the decay widths between $D\bar{D}^*/\bar{D}D^*$ and $J/ψπ$. With the results from the elastic effective-range-expansion study as input for the compositeness, we generalize the discussions to the $Z_{cs}(3985)$ by including the $J/ψK^{-}$ and $D_s^{-}D^{*0}/D_s^{*-}D^{0}$, and predict the partial decay widths of the $J/ψK^{-}$. Similar calculations are also carried out for the $X(4020)$ by including the $h_cπ$ and $D^*\bar{D}^*$, and the partial decay widths of the $h_cπ$ is predicted. Our results can provide useful guidelines for future experimental measurements.

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