arXiv 1909.033232019-09hep-phhep-exhep-lat

核子与自旋$\frac{3}{2}$和同位旋$\frac{1}{2}$的共振

Nucleon resonances with spin $\frac{3}{2}$ and isospin $\frac{1}{2}$

K. Azizi, Y. Sarac, H. Sundu

备注：: 8 Pages, 1 Figure and 2 Tables
DOI：: 10.1088/1361-6471/ab9d37

摘要：

核子激发态因其提供的丰富信息而一直是一个重要的研究课题。自70年前首次观测到它们以来，对它们各种参数的研究既促进了夸克模型的发展，也促进了对QCD作为强相互作用理论的更好理解。他们的调查仍然很重要。对核子激发态的研究有助于探索夸克模型预言的但尚未观测到的丢失共振。在此基础上，我们研究了$I(J^P)=\frac{1}{2}(\frac{3}{2}^{-})$的低能核子共振以及相应的$I(J^P)=\frac{1}{2}(\frac{3}{2}^+)$和$I(J^P)=\frac{1}{2}(\frac{3}{2}^-)$的轨道和径向激发.利用QCD求和规则方法，我们计算了这些态的质量和极点留数。对于共振$N^*(1520)(3/2^-)$、$N^*(1700)(3/2^-)$和$N^*(1720)(3/2^+)$，所得质量结果与PDG中给出的质量范围一致。这些态的质量和留数的结果可以作为输入参数来计算与它们与其他粒子的电磁、弱和强相互作用有关的各种量，目的是获得更多关于它们的性质和结构的信息。

英文摘要：

Investigation of the nucleon's excited states has always become an important research topic because of the rich information they provide. Since their first observation, dating back about 70 years, the investigation of their various parameters contributed both to the development of the quark model and better understanding of the QCD as the theory of strong interaction. Their investigation still has importance. The researches conducted on the nucleon excited states are helpful to probe missing resonances predicted by the quark model but not observed yet. With this motivation, we study the low lying nucleon resonance with $I(J^P)=\frac{1}{2}(\frac{3}{2}^{-})$ and its corresponding orbital and radial excitations with $I(J^P)=\frac{1}{2}(\frac{3}{2}^+)$ and $I(J^P)=\frac{1}{2}(\frac{3}{2}^-)$, respectively. Using the QCD sum rule method, we calculate the masses and pole residues of these states. The obtained mass results are consistent with the mass ranges presented in PDG for the resonances $N^*(1520)(3/2^-)$, $N^*(1700)(3/2^-)$, and $N^*(1720)(3/2^+)$. The results of masses and residues of these states may be used as input parameters to calculate various quantities related to their electromagnetic, weak and strong interactions with other particles with the aim of getting more information on their nature and structure.

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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