论文标题
$ z_ {cs}(3985)^ - $作为$ u $ -spin合作伙伴$ z_c(3900)^ - $以及其他状态在$ \ text {su(su(3)} _ f $ symmetry和heavy quark对称性中的含义
$Z_{cs}(3985)^-$ as the $U$-spin partner of $Z_c(3900)^-$ and implication of other states in the $\text{SU(3)}_F$ symmetry and heavy quark symmetry
论文作者
论文摘要
最近,这是BESIII的首次合作,在$ k^+$ arcoil-mass spectrum中$ z_ {cs}(cs}(3985)^ - $ a $ k^+$ acoboil-ass spectrum附近$ z_ { $ e^{+} e^{ - } \ to k^{+}(d_ {s}^{ - } d^{*0}+d_ {s} {s}^{* - } d^{0} d^{0})估计意义为5.3 $σ$。我们表明,新观察到的$ z_ {cs}(3985)^ - $ state是$ u $ -spin的$ z_c(3900)^{ - } $的$ u $ -spin合作伙伴,作为$ \ \ \文本{su(3)_ f $ symmetry and Meflymetry and Hupeymmetry symmetry symmetry symmetry(symmetry symmetry(symmetry symmetry symmetry in coupled-incled-channel计算)中的共鸣。在$ \ text {su(3)} _ f $对称性中,我们介绍了$ g_ {u/v} $奇偶校验来构建$ z_ {cs} $状态的风味波函数。在一个统一的框架中,我们考虑$ j/ψπ(k)$,$ \ bar {d} _ {(s)} {d}^*/\ bar {d} _ {(s)}^*{d}^*{d} $ coupled-channel效应与接触互动。对于$ z_c(3900)$和$ z_c(4020)$的质量和宽度,我们确定了所有未知的耦合常数。我们与实验结果一致,我们获得了$ z_ {cs}(3985)$的质量和宽度,该结果强烈支持$ z_ {cs} $状态为$ u/v $ -spin合作伙伴的$ z_c(3900)$。我们还计算了$ z_ {cs}(3985)$的部分衰减宽度的比例,这意味着$ \ bar {d} _sd^*/\ bar {d}^*_ s d $衰减模式是主导的。我们还可以预测,$ z_ {cs}^\ prime $状态的质量约为$ 4130 $ MEV,宽度约为$ 30 $ MEV,这是$ u/v $ -Spin合作伙伴的$ ZC(4020)$和HQSS合作伙伴的$ Z_ {CS}(CS}}(3985)$的$ u/v $ -spin合作伙伴。在隐藏的底部扇区中,我们预测奇怪的tetraquark状态$ z_ {bs} $和$ z_ {bs}^\ prime $,质量约为10700 meV和10750 meV,这是$ u/v $ -spin的伙伴$ z_ {b}(b}(b}(10610)(10610)(10610)(10610)^{\ pm pm} $和$ z_的$和106 $和10650 $ {
Recently, for the first time, the BESIII Collaboration reported the strange hidden charm tetraquark states $Z_{cs}(3985)^-$ in the $K^+$ recoil-mass spectrum near the $D_{s}^{-}D^{*0}/ D_{s}^{*-}D^{0}$ mass thresholds in the processes of $e^{+}e^{-}\to K^{+}(D_{s}^{-}D^{*0}+D_{s}^{*-}D^{0})$ at $\sqrt{s}=4.681$ GeV. The significance was estimated to be 5.3 $σ$. We show that the newly observed $Z_{cs}(3985)^-$ state is the $U$-spin partner of $Z_c(3900)^{-}$ as a resonance within coupled-channel calculation in the $\text{SU(3)}_F$ symmetry and heavy quark spin symmetry (HQSS). In the $\text{SU(3)}_F$ symmetry, we introduce the $G_{U/V}$ parity to construct the flavor wave functions of the $Z_{cs}$ states. In a unified framework, we consider the $J/ψπ(K)$, $\bar{D}_{(s)}{D}^*/\bar{D}_{(s)}^*{D}$ coupled-channel effect with the contact interaction. With the masses and widths of $Z_c(3900)$ and $Z_c(4020)$, we determine all the unknown coupling constants. We obtain mass and width of $Z_{cs}(3985)$ in good agreement with the experimental results, which strongly supports the $Z_{cs}$ states as the $U/V$-spin partner states of the charged $Z_c(3900)$. We also calculate the ratio of the partial decay widths of $Z_{cs}(3985)$, which implies that the $\bar{D}_sD^*/\bar{D}^*_s D$ decay modes are dominant. We also predict the $Z_{cs}^\prime$ states with a mass around $4130$ MeV and width around $30$ MeV, which are the $U/V$-spin partner states of the charged $Z_c(4020)$ and HQSS partner states of the $Z_{cs}(3985)$. In the hidden bottom sector, we predict the strange tetraquark states $Z_{bs}$ and $Z_{bs}^\prime$ with a mass around 10700 MeV and 10750 MeV, which are the $U/V$-spin partner states of $Z_{b}(10610)^{\pm}$ and $Z_b(10650)^{\pm}$, respectively.