用非临界弦论研究单玻色子交换势中的核子-介子耦合
Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory
摘要：
本文利用在六维反德西特（$AdS_6$）超引力背景下构造的非临界全息QCD模型研究重子。结果表明，重子的尺寸相对于$λ$是一阶的，但它小于对偶QCD的尺度。根据介子交换势得到了核子的有效四维作用量。计算了非临界$AdS_6$背景下的所有介子-核子耦合。使用我们的模型得到的结果进行了比较与四个现代唯象相互作用模型的预测。同时，我们的数值结果与Sakai-Sugimoto（SS）模型的结果进行了比较，表明非临界全息QCD模型可以作为计算介子-核子耦合的好工具。
英文摘要：
A non-critical holographic QCD model constructed in the six dimensional Anti-de-Sitter ($AdS_6$) supergravity background is employed to study a the baryon. It is shown that the size of the baryon is of order one with respect to the $λ$, however, it is smaller than the scale of the dual QCD. An effective four dimensional action for the nucleon is obtained in terms of the meson exchange potentials. All meson-nucleon couplings in the non-critical $AdS_6$ background are calculated. Results obtained using our model are compared with predictions of four modern phenomenological interaction models. Also, our numerical results are compared with the results of the Sakai-Sugimoto (SS) model which indicate that the non-critical holographic QCD model can be a good toy to calculate the meson-nucleon couplings.
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