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arXiv 1309.7813hep-ph
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Bethe-Salpeter方程方法中的$QQ^{\prime} \bar u \bar d$束缚态

$QQ^{\prime} \bar u \bar d$ bound state in the Bethe-Salpeter equation approach

G. -Q. Feng, X. -H. Guo, B. -S. Zou

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6 figure, 3 tables
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摘要：

在重夸克极限下，我们建立了含有一个重双夸克$QQ^{\prime}$（$Q, Q^{\prime}=b$或$c$）和一个轻反双夸克$\bar u \bar d$的基态$QQ^{\prime} \bar u \bar d$的Bethe-Salpeter方程.我们在协变瞬时近似下数值求解了Bethe-Salpeter方程，其核包含一个标量禁闭项和一个胶子交换项。数值解的Bethe-Salpeter波函数。结果表明，$bb \bar u \bar d$、$bc \bar u \bar d$和$cc \bar u \bar d$束缚态的质量分别低于$\bar{B}^{*0}\,B^-$或$B^0\,{B^*}^-$、$B^-D^+$或$\bar{B}^{0} D^0$、$D^+\,{D^*}^0$或${D^*}^+\,D^0$介子的阈值.基态$QQ^{\prime} \bar u \bar d$可能存在，我们预计即将到来的实验数据将证实它们。

英文摘要：

In the heavy quark limit, we establish the Bethe-Salpeter equations for the ground state $QQ^{\prime} \bar u \bar d$ containing one heavy diquark $QQ^{\prime}$ ($Q, Q^{\prime}=b$ or $c$) and one light antidiquark $\bar u \bar d$. We solve the Bethe-Salpeter equations numerically in the covariant instantaneous approximations with the kernels containing a scalar confinement term and a one-gluon-exchange term. Numerical solutions for the Bethe-Salpeter wave functions are presented. The results show that the masses of $bb \bar u \bar d$, $bc \bar u \bar d$, and $cc \bar u \bar d$ bound states lie below the threshold of $\bar{B}^{*0}\,B^-$ or $B^0\,{B^*}^-$, $B^-D^+$ or $\bar{B}^{0} D^0$, and $D^+\,{D^*}^0$ or ${D^*}^+\,D^0$ mesons, respectively. The ground states $QQ^{\prime} \bar u \bar d$ may exist and we expect the forthcoming experimental data to confirm them.

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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