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arXiv 1809.07489hep-phnucl-exnucl-th
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手征夸克孤子模型中新的核子窄共振态$N^{\ast}(1685)$和$N^{\ast}(1726)$

New narrow nucleon resonances $N^{\ast}(1685)$ and $N^{\ast}(1726)$ within the chiral quark-soliton model

Ghil-Seok Yang, Hyun-Chul Kim

备注：
15 pages, 1 figure. Final version to appear in PTEP
发表信息：
Prog Theor Exp Phys (2019)
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摘要：

本文在SU（3）手征夸克孤子模型的框架下研究了核子窄共振$N^*(1685)$和$N^{\ast}(1726)$的强衰变宽度和辐射衰变宽度。所有的相关参数都取自以前用来描述重子八重态和十重态性质的参数。反十重态核子的质量为$(1690.2\pm 10.5)\, \mathrm{MeV}$，自旋为3/2的七重态核子的质量为$(1719.6\pm7.4)\,\mathrm{MeV}$ .发现$N^{\ast}(1685)\to η+ N$的衰减宽度大约是$N^{\ast}(1685)\to π+N$的三倍。$N^{\ast}\left(1726\right)3/2^+\to η+N$的衰变宽度甚至比$N^{\ast}\left(1726\right)3/2^+\to π+ N$的衰变宽度大约31倍。得到了$N^*(1685)$的辐射衰变比为$Γ_{nn^*(1685)}/Γ_{pp^*(1685)}=8.62\pm3.45$，很好地解释了中子异常。相反，我们发现了$Γ_{pp^*(1726)}/Γ_{nn^*(1726)}=3.72\pm0.64$，这表明$N^*(1726)$的产生更可能在质子通道中观察到。我们还研究了这些核子共振与奇异强子的衰变模式。

英文摘要：

We investigate the strong and radiative decay widths of the narrow nucleon resonances $N^*(1685)$ and $N^{\ast}(1726)$ within the framework of the SU(3) chiral quark-soliton model. All the relevant parameters are taken from those used to describe the properties of the baryon octet and decuplet in previous works. The masses of the antidecuplet nucleon and the eikosiheptaplet (27-plet) nucleon with spin 3/2 are determined respectively to be $(1690.2\pm 10.5)\, \mathrm{MeV}$ and $(1719.6\pm7.4)\,\mathrm{MeV}$. The decay width for $N^{\ast}(1685)\to η+ N$ is found to be approximately three times larger than that for $N^{\ast}(1685)\to π+N$. The width of the decay $N^{\ast}\left(1726\right)3/2^+\to η+N$ is even about 31 times larger than that of $N^{\ast}\left(1726\right)3/2^+\to π+ N$. The ratio of the radiative decays for $N^*(1685)$ is obtained to be $Γ_{nn^*(1685)}/Γ_{pp^*(1685)}=8.62\pm3.45$ which explains very well the neutron anomaly. In contrast, we find $Γ_{pp^*(1726)}/Γ_{nn^*(1726)}=3.72\pm0.64$, which indicates that the production of $N^*(1726)$ is more likely to be observed in the proton channel. We also examined the decay modes of these narrow nucleon resonances with the strangeness hadrons involved.

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