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arXiv 2210.01563hep-phhep-th
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利用改进的Bethe-Salpeter理论计算不稳定分子态的质量和宽度

Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory

Xiaozhao Chen, Xiaofu Lü, Xiurong Guo, Zonghua Shi, Qingbiao Wang

AI总结:

本研究利用改进的Bethe-Salpeter理论,将奇异介子共振态$χ_{c0}(3915)$视为两种不稳定矢量介子分子态的混合态,在相对论量子场论框架下计算其质量和宽度,结果与实验值一致。

摘要:

我们将用于处理共振态的改进Bethe-Salpeter理论应用于研究由两个矢量介子组成的分子态在总哈密顿量决定下的时间演化。随后,将奇异介子共振态$χ_{c0}(3915)$视为$D^{*0}\bar{D}^{*0}$与$D^{*+}D^{*-}$这两个不稳定分子态的混合态,并在相对论量子场论框架下计算了物理共振态$χ_{c0}(3915)$的质量和宽度。在本次实际计算中,我们详细展示了如何获取共振态的能级修正,以及如何在扩展费曼图中呈现色散关系的关键特征。数值计算结果与实验值相符。

英文摘要:

Applying the developed Bethe-Salpeter theory for dealing with resonance, we investigate the time evolution of molecular state composed of two vector mesons as determined by the total Hamiltonian. Then exotic meson resonance $χ_{c0}(3915)$ is considered as a mixed state of two unstable molecular states $D^{*0}\bar{D}^{*0}$ and $D^{*+}D^{*-}$, and the mass and width for physical resonance $χ_{c0}(3915)$ are calculated in the framework of relativistic quantum field theory. In this actual calculation, we minutely show how to obtain the correction for energy level of resonance and to exhibit the key features of dispersion relation in an extended Feynman diagram. The numerical results are consistent with the experimental values.

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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