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arXiv 1906.09690hep-ph
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非猝灭夸克模型中的X(3872)

X(3872) in an unquenched quark model

Yue Tan, Jialun Ping

摘要:

本文在非猝灭夸克模型中计算了$X(3872)$介子-介子组分的质量和几率分数。与大多数非猝灭夸克模型不同的是,考虑到夸克对能量和夸克对与价夸克对之间的距离的影响,对$^3P_0$的夸克对产生算符进行了修正.在计算中,所有介子的波函数和两个介子之间的相对运动都是借助于高斯展开法求解相应的薛定谔方程得到的。研究了夸克-反夸克态与可能的介子-介子态的多通道耦合。结果表明,$X(3872)$可以描述为占主导地位的粲偶素态(70%)和介子-介子组分(30%)的混合态.

英文摘要:

In this paper, we calculate mass and probability fractions of meson-meson components of $X(3872)$ in an unquenched quark model. Different from most of other unquenched quark models, the quark pairs creation operator from $^3P_0$ is modified by considering effects of the created quark pair energy and separation between the created quark pair and the valence quark-pair. In the calculation, all the wavefunctions of mesons and the relative motion between two mesons are obtained by solving the corresponding Schrödinger equation with the help of gaussian expansion method. The multi-channel coupling of quark-antiquark state with possible meson-meson states are performed. The results show that the $X(3872)$ can be described as a mixing state of dominant charmonium state (70\%) and meson-meson components (30\%).

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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