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arXiv 1007.2072hep-phnucl-th
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光$0^{+}$标量共振的起源

The origin of light $0^{+}$ scalar resonances

Zhi-Yong Zhou, Zhiguang Xiao

摘要:

我们证明了如何在$2.0\,\mathrm{GeV}$以下的大部分光$J^{P}=0^{+}$谱及其衰变可以用包含Adler零点手征约束并考虑SU(3)破缺效应的么正化夸克模型一致地描述。这些共振在复$s$平面上表现为极点,在一个统一的图像中表现为被强子环强烈修饰的$q\bar{q}$态。通过大$N_c$分析,发现这些共振自然地分为两种:$σ, κ, f_0(980), a_0(980)$是动态产生的,并且随着$N_c$的增加而远离实轴,而其他共振则向$q\bar q $种子移动。在该图中,$a_0(980)$的线形由低于$K\bar{K}$阈值的宽极点产生,并表现出与$σ$和$κ$相似的特性。

英文摘要:

We demonstrate how most of the light $J^{P}=0^{+}$ spectrum below $2.0\,\mathrm{GeV}$ and their decays can be consistently described by the unitarized quark model incorporating the chiral constraints of Adler zeros and taking SU(3) breaking effects into account. These resonances appear as poles in the complex $s$ plane in a unified picture as $q\bar{q}$ states strongly dressed by hadron loops. Through the large $N_c$ analysis, these resonances are found to naturally separate into two kinds: $σ, κ, f_0(980), a_0(980)$ are dynamically generated and run away from the real axis as $N_c$ increases, while the others move towards the $q\bar q $ seeds. In this picture, the line shape of $a_0(980)$ is produced by a broad pole below the $K\bar{K}$ threshold, and exhibits characteristics similar to the $σ$ and $κ$.

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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