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arXiv 1408.0973hep-ph
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关于$X$(3872)的窄峰和同位旋对称性破缺的起源

On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)

Sachiko Takeuchi, Kiyotaka Shimizu, Makoto Takizawa

摘要:

用$c\bar c$ -两介子杂化模型研究了$B$ -衰变过程中$X$(3872)的形成和衰变过程.双介子态由$D^0{\bar D}^*{}^0$、$D^+D^{*-}$、$J/ψρ$和$J/ψω$通道组成。介绍了$ρ$和$ω$介子的能量依赖衰变宽度。认为$D$ - ${\bar D}^*$相互作用与缺少$B{\bar B}^*$结合状态一致.从夸克模型获得$D{\bar D}^*$和$J/ψρ$或$D{\bar D}^*$和$J/ψω$通道之间的耦合。将$c{\bar c}$ - $D{\bar D}^*$偶联作为拟合$X$(3872)质量的参数。计算的光谱高达4 GeV。发现在$D^0{\bar D}^*{}^0$阈值附近出现非常窄的$J/ψρ$和$J/ψω$峰。我们计算的$J/ψπ^3$峰的大小是$J/ψπ^2$峰的1.29-2.38倍。本模型中的同位旋对称性破缺来自带电和中性$D$和$D^*$介子的质量差,这给出了足够大的同位旋混合来解释实验。研究还发现,转移强度比值可以给出$X$(3872)的质量信息或$c{\bar c}$ - $D{\bar D}^*$耦合的大小.

英文摘要:

The $X$(3872) formation and decay processes in the $B$-decay are investigated by a $c\bar c$-two-meson hybrid model. The two-meson state consists of the $D^0{\bar D}^*{}^0$, $D^+D^{*-}$, $J/ψρ$, and $J/ψω$ channels. The energy-dependent decay widths of the $ρ$ and $ω$ mesons are introduced. The $D$-${\bar D}^*$ interaction is taken to be consistent with a lack of the $B{\bar B}^*$ bound state. The coupling between the $D{\bar D}^*$ and $J/ψρ$ or the $D{\bar D}^*$ and $J/ψω$ channels is obtained from a quark model. The $c{\bar c}$-$D{\bar D}^*$ coupling is taken as a parameter to fit the $X$(3872) mass. The spectrum is calculated up to 4 GeV. It is found that very narrow $J/ψρ$ and $J/ψω$ peaks appear around the $D^0{\bar D}^*{}^0$ threshold. The size of the $J/ψπ^3$ peak we calculated is 1.29-2.38 times as large as that of the $J/ψπ^2$. The isospin symmetry breaking in the present model comes from the mass difference of the charged and neutral $D$ and $D^*$ mesons, which gives a sufficiently large isospin mixing to explain the experiments. It is also found that values of the ratios of the transfer strengths can give the information on the $X$(3872) mass or the size of the $c{\bar c}$-$D{\bar D}^*$ coupling.

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。

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