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arXiv 0901.0426hep-ph
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单玻色子交换方法中强子分子动力学及可能的重味分子

Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules

Gui-Jun Ding, Jia-Feng Liu, Mu-Lin Yan

摘要:

我们将夸克水平上的一π交换模型推广到包括来自$η$、$σ$、$ρ$和$ω$交换的短程贡献。应用该方法讨论了$D\bar{D}^{*}/\bar{D}D^{*}$,$B\bar{B}^{*}/\bar{B}B^{*}$,$DD^{*}$,$BB^{*}$,分别含$C=B=1$和$C=-B=1$的伪标量矢量系统的可能分子态.考虑了“$δ$函数”项的贡献和S-D混合效应。我们发现,考虑重介子交换后的结果与单π介子交换模型的结果定性相同。在单玻色子交换模型中,证实了先前关于$1^{++}$ $B\bar{B}^{*}/\bar{B}B^{*}$分子应该存在的建议,而$DD^{*}$结合态不应该存在。$D\bar{D}^{*}/\bar{D}D^{*}$系统可以容纳接近阈值的$1^{++}$分子,必须考虑分子与常规粲偶素之间的混合以用X(3872)鉴定该状态。对于$BB^{*}$体系,含$C=B=1$和$C=-B=1$的赝标量-矢量体系,可能存在近阈分子态。这些束缚态应该是相当窄的,同位旋被破坏,I=0分量占主导地位。这些国家的实验搜索通道的建议。

英文摘要:

We extend the one pion exchange model at quark level to include the short distance contributions coming from $η$, $σ$, $ρ$ and $ω$ exchange. This formalism is applied to discuss the possible molecular states of $D\bar{D}^{*}/\bar{D}D^{*}$, $B\bar{B}^{*}/\bar{B}B^{*}$, $DD^{*}$, $BB^{*}$, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$ respectively. The "$δ$ function" term contribution and the S-D mixing effects have been taken into account. We find the conclusions reached after including the heavier mesons exchange are qualitatively the same as those in the one pion exchange model. The previous suggestion that $1^{++}$ $B\bar{B}^{*}/\bar{B}B^{*}$ molecule should exist, is confirmed in the one boson exchange model, whereas $DD^{*}$ bound state should not exist. The $D\bar{D}^{*}/\bar{D}D^{*}$ system can accomodate a $1^{++}$ molecule close to the threshold, the mixing between the molecule and the conventional charmonium has to be considered to identify this state with X(3872). For the $BB^{*}$ system, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$, near threshold molecular states may exist. These bound states should be rather narrow, isospin is violated and the I=0 component is dominant. Experimental search channels for these states are suggested.

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