Spectrum of the hidden-bottom and the hidden-charm-strange exotics in the dynamical diquark model

Spectrum of the hidden-bottom and the hidden-charm-strange exotics in the dynamical diquark model
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DOI:
10.1103/physrevd.102.014036
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发表时间:
2020-05
期刊:
影响因子:
5
通讯作者:
Jesse F. Giron;R. Lebed
Jesse F. Giron;R. Lebed
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Jesse F. Giron;R. Lebed

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动力学双夸克模型中最轻的隐底四夸克填充了一个由12个同质多重态组成的$S波多重态。我们使用一个简单的三参数哈密顿量来预测它们的质量和主要的底层衰变通道,该哈密顿量捕捉到了模型的核心精细结构特征,包括同位旋相关性。唯一需要的实验输入是相应的Z_b(10610)$和Z_b(10650)$的观测值。在这个方案中,$X_b$的质量受到高度限制,它是$X(3872)$的底部类比。此外,利用晶格计算势,我们预测了$P$波多重态的质心位置,发现$Y(10860)$符合得很好,而新发现的$Y(10750)$则不符合,更有可能是一个$D$波底态。用类似的方法,我们也研究了6元c-S\b-S元态的最低的$-S波多重态,假定$X(3915)$和$Y(4140)$为成员,并预测了其他态的质量和主要的Charmonium衰变模式。我们再次使用晶格势来计算更高的多重态的质心,发现它们分别与$Y(4626)$($1P$)和$X(4700)$($2S$)的质量相容。
The lightest hidden-bottom tetraquarks in the dynamical diquark model fill an $S$-wave multiplet consisting of 12 isomultiplets. We predict their masses and dominant bottomonium decay channels using a simple 3-parameter Hamiltonian that captures the core fine-structure features of the model, including isospin dependence. The only experimental inputs needed are the corresponding observables for $Z_b(10610)$ and $Z_b(10650)$. The mass of $X_b$, the bottom analogue to $X(3872)$, is highly constrained in this scheme. In addition, using lattice-calculated potentials we predict the location of the center of mass of the $P$-wave multiplet and find that $Y(10860)$ fits well but the newly discovered $Y(10750)$ does not, more plausibly being a $D$-wave bottomonium state. Using similar methods, we also examine the lowest $S$-wave multiplet of 6 $c\bar c s\bar s$ states, assuming as in earlier work that $X(3915)$ and $Y(4140)$ are members, and predict the masses and dominant charmonium decay modes of the other states. We again use lattice potentials to compute the centers of mass of higher multiplets, and find them to be compatible with the masses of $Y(4626)$ ($1P$) and $X(4700)$ ($2S$), respectively.