arXiv 1503.057272015-03hep-phhep-latnucl-th

全息QCD的轻夸克偶素-球混合

Light Quarkonium - Glueball Mixing from a Holographic QCD

Takashi Yamaguchi, Shinya Matsuzaki

备注：: 8 pages, 2 eps figures, latex; typos fixed and references added, to appear in PRD

摘要：

基于自底向上硬壁全息模型，研究了双味QCD中同位旋单重标量、轻夸克偶素$(\bar{q}q)$和胶球$(gg)$的混合结构。在该模型中，纯夸克偶素和胶球态被明确地定义为手征$U(2)_L \times U(2)_R$对称性恢复极限中不同的$U(1)_A$电荷，其中夸克偶素作为π介子的手征伙伴变得无质量。因此，$\bar{q}q$ - $gg$混合在非零手征凝聚体或π衰变常数的存在下出现。在现实点的π介子衰变常数和其他强子质量达到观察到的量，我们预测最轻的夸克偶素和胶球之间的微小混合：混合的小是理解的手征和胶子凝聚尺度的比例略小。计算了低位的两个标量质量分别为$\simeq 1.25$ GeV和$\simeq 1.77$ GeV，并与$f_0(1370)$和$f_0(1710)$的质量进行了比较。我们的结果表明，$f_0(1710)$主要由胶球。

英文摘要：

We study the mixing structure of isospin-singlet scalars, the light quarkonium $(\bar{q}q)$ and glueball $(gg)$ in two-flavor QCD, based on a holographic model of bottom-up hard-wall type. In the model the pure quarkonium and glueball states are unambiguously defined in terms of the different $U(1)_A$ charges in the restoration limit of the chiral $U(2)_L \times U(2)_R$ symmetry, in which the quarkonium gets massless as the chiral partner of the pion. Hence the $\bar{q}q$-$gg$ mixing arises in the presence of the nonzero chiral condensate or pion decay constant. At the realistic point where the pion decay constant and other hadron masses reach the observed amount, we predict the tiny mixing between the lightest quarkonia and glueball: The smallness of the mixing is understood by the slightly small ratio of the chiral and gluon condensate scales. The low-lying two scalar masses are calculated to be $\simeq 1.25$ GeV and $\simeq 1.77$ GeV, which are compared with masses of $f_0(1370)$ and $f_0(1710)$. Our result implies that $f_0(1710)$ predominantly consists of glueball.

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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英文摘要：

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