arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1602.07540hep-ph
收藏

低洼区$X$共振态的四夸克结构检验

Testing the tetraquark structure for the $X$ resonances in low-lying region

Hungchong Kim, K. S. Kim, Myung-Ki Cheoun, Daisuke Jido, Makoto Oka

备注：
8 pages, substantially revised, more references are added, the version to be published in EPJA
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

假设$X$共振在低区为四夸克结构，利用色自旋相互作用计算了它们的质量。具体地，计算了自旋0，自旋1，自旋2通道中可能态的色自旋相互作用的超精细质量。自旋0通道中的两个态以及自旋1通道中的两个态被对角化以产生物理超精细质量。通过将超精细质量的差异与相应强子质量的分裂相匹配，并以$X(3872)$质量作为输入，我们估计了$J^{PC}=0^{++}, 1^{+-},2^{++}$态对应的质量。发现$1^{+-}$中两个态的质量与$X(3823)$，$X(3900)$的质量相近，而$2^{++}$态的质量与$X(3940)$的质量相近.对他们来说，差异约为$\sim 10$ MeV。这可能表明，有争议的状态的量子数是$X(3823)=1^{+-}, X(3900)=1^{+-}, X(3940)=2^{++}$。在这项工作中，我们使用相同的输入参数，组分夸克质量和色自旋相互作用的强度，已通过在以前的工作中的$D$或$B$介子激发态。在那里，它表明，四夸克结构可以表现在它们的激发态。因此，我们的结果在这项工作中提供了一个一致的处理开放和隐藏的魅力介子就四夸克模型而言。

英文摘要：

Assuming four-quark structure for the $X$ resonances in low-lying region, we calculate their masses using the color-spin interaction. In specific, the hyperfine masses of the color-spin interaction are calculated for the possible states in spin-0, spin-1, spin-2 channels. The two states in spin-0 channel as well as the two states in spin-1 channel are diagonalized in order to generate the physical hyperfine masses. By matching the difference in hyperfine masses with the splitting in corresponding hadron masses and using the $X(3872)$ mass as an input, we estimate the masses corresponding to the states $J^{PC}=0^{++}, 1^{+-},2^{++}$. We find the masses of two states in $1^{+-}$ are close to those of $X(3823)$, $X(3900)$, and the mass of the $2^{++}$ state is close to that of $X(3940)$. For them, the discrepancies are about $\sim 10$ MeV. This may suggest that the quantum numbers of the controversial states are $X(3823)=1^{+-}, X(3900)=1^{+-}, X(3940)=2^{++}$. In this work, we use the same inputs parameters, the constituent quark masses and the strength of the color-spin interaction, that have been adopted in the previous work on the $D$ or $B$-meson excited states. There, it was shown that the four-quark structure can be manifested in their excited states. Thus, our results in this work provide a consistent treatment on open- and hidden-charm mesons as far as the four-quark model is concerned.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑