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利用Bethe-Salpeter形式论研究$D^\bar D^\bar D^\bar$/$B^\bar B^\bar$与$D^\bar D^\bar$/$\bar B^\bar B^\bar$系统中可能的束缚态

Possible Bound States in the $D^\ast\bar D^\ast$/$B^\ast\bar B^\ast$ and $D^\ast D^\ast$/$\bar B^\ast\bar B^\ast$ Systems within the Bethe-Salpeter Formalism

Ce Li, Jing-Juan Qi, Zhu-Feng Zhang, Zhen-Yang Wang, Xin-Heng Guo

arXiv 2608.03104首次发表:更新:

AI 中文总结

利用Bethe-Salpeter形式论结合单玻色子交换相互作用,研究了四类重味介子系统的S波束缚态,得到了同位旋标量隐重味、双重重系统的部分束缚态解,发现底系统比粲系统更易形成束缚态。

AI 中文摘要

我们利用单玻色子交换相互作用,在Bethe-Salpeter形式论框架下研究$D^\bar D^\bar$、$B^\bar B^\bar$、$D^\bar D^\bar$和$\bar B^\bar B^\bar$系统中可能的S波束缚态。在同位旋标量隐重味系统中,获得了$J^{PC}=0^{++}$、$1^{+-}$和$2^{++}$的束缚态解,而在所考虑的参数范围内未发现同位旋矢量解。对于双重重系统,在允许的$I(J^P)=0(1^+)$、$1(0^+)$和$1(2^+)$系统中获得了解,尽管$1(0^+)$解需要相对较大的截断参数。由于底系统的约化质量更大,其比粲系统更易形成束缚态。

英文摘要

We investigate possible $S$-wave bound states in the $D^\ast\bar D^\ast$, $B^\ast\bar B^\ast$, $D^\ast D^\ast$, and $\bar B^\ast\bar B^\ast$ systems within the Bethe-Salpeter formalism using one-boson-exchange interactions. Bound state solutions are obtained in the isoscalar hidden-heavy systems with $J^{PC}=0^{++}$, $1^{+-}$, and $2^{++}$, whereas no isovector solutions are found within the parameter range considered. For the doubly heavy systems, solutions are obtained in the allowed $I(J^P)=0(1^+)$, $1(0^+)$, and $1(2^+)$ systems, although the $1(0^+)$ solution requires a comparatively large cutoff parameter. The bottom systems are bounded more favorably than their charmed counterparts because of their larger reduced masses.

论文原文

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