Does the bottomonium counterpart of X(3872) exist?

Does the bottomonium counterpart of X(3872) exist?
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X(3872) 的底鎓对应物是否存在?

DOI:
10.1103/physrevd.99.034005
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发表时间:
2018-10
期刊:
影响因子:
5
通讯作者:
Xiao Zhiguang
Xiao Zhiguang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zhou Zhi Yong;Chen Dian Yong;Xiao Zhiguang

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利用推广的Friedrichs方案,我们研究了$X(3872)$的底鎓对应物$X_B$.在该方案中,发现了低于$B\bar B^*$阈值的动态生成的虚态,并且在$B\bar B^*\至B\bar B^*$中,在约10615 MeV处存在窄的线形峰,其刚好高于阈值。然而,我们发现虚态并不是产生峰值的主要原因,而是由相互作用项和介子波函数(包括$\chi_{b1}(4P)$的介子波函数)的卷积产生的形状因子对峰值起作用。形状因子还影响了动态产生的宽共振的线形,其质量和宽度分别约为10672 MeV和78 MeV,并抑制了由$\chi_{b1}(4P)$产生的峰的幅度,其质量和宽度分别约为10771 MeV和6 MeV。这项研究强调了高径向激励的波函数的结构在线形分析中的重要性,并提供了一个警告,一些信号可能会产生的形状因子的结构,而不是从极点。
Using the extended Friedrichs scheme, we study the bottomonium counterpart of $X(3872)$, $X_b$. In this scheme, a dynamically generated virtual state below the $B\bar B^*$ threshold is found, and there is a narrow lineshape peak at about 10615 MeV, just above the threshold in $B\bar B^*\to B\bar B^*$. However, we find that the virtual state is not the main reason for the peak but it is the form factor, which comes from the convolution of the interaction term and meson wave functions including the one from $\chi_{b1}(4P)$, that is responsible for the peak. The form factor also affects the lineshape of a dynamically generated broad resonance with its mass and width at about 10672 MeV and 78 MeV, respectively, and suppresses the magnitude of the peak generated by $\chi_{b1}(4P)$ with its mass and width being about 10771 MeV and 6 MeV. This study emphasizes the importance of the structure of the wave functions of high radial excitations in the analysis of the lineshapes, and provides a caveat that some signals may be generated from the structures of the form factors rather than from poles.
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