X(3872) is not a true molecule
X(3872) is not a true molecule
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DOI：
10.1140/epjc/s10052-013-2351-8
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发表时间：
2012-12
期刊：
影响因子：
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通讯作者：
S. Coito;G. Rupp;E. Beveren
中科院分区：
文献类型：
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作者：
S. Coito;G. Rupp;E. Beveren
利用一个可解的坐标空间模型来研究x（3872）波函数的分量，该模型通过3p0机制将一个受限的3p1状态耦合到几乎无界的波通道。根据结合能和跃迁半径的不同值计算双分量波函数，总是得到一个显著分量。然而，在小束缚的情况下，波函数的长尾强烈地限制了概率，对于0.16 MeV和2到3 GeV−1之间的平均实验结合能，概率大致在7 - 11%之间。在后结合能下，得到了x (3872) r.m.s.半径为7.8 fm的合理值，而单波散射长度为11.6 fm。最后，矩阵极点轨迹作为耦合常数的函数表明，x（3872）既可以作为动态极点生成，也可以作为连接到裸约束谱的极点生成，这取决于模型的细节。从这些结果我们得出结论，x（3872）不是一个真正的介子-介子分子，实际上也不是任何其他具有非奇异量子数的介子系统，因为它不可避免地与相应的夸克-反夸克态混合。
A solvable coordinate-space model is employed to study thecomponent of theX(3872) wave function, by coupling a confined3P1state to the almost unboundS-wavechannel via the3P0mechanism. The two-component wave function is calculated for different values of the binding energy and the transition radiusa, always resulting in a significantcomponent. However, the long tail of thewave function, in the case of small binding, strongly limits theprobability, which roughly lies in the range 7–11 %, for the average experimental binding energy of 0.16 MeV andabetween 2 and 3 GeV−1. Furthermore, a reasonable value of 7.8 fm is obtained for theX(3872) r.m.s. radius at the latter binding energy, as well as anS-wavescattering length of 11.6 fm. Finally, the-matrix pole trajectories as a function of coupling constant show thatX(3872) can be generated either as a dynamical pole or as one connected to the bareconfinement spectrum, depending on details of the model. From these results we conclude thatX(3872) is not a genuine meson–meson molecule, nor actually any other mesonic system with non-exotic quantum numbers, due to inevitable mixing with the corresponding quark–antiquark states.