束缚规范理论中的全息五夸克态和七夸克态
Holographic Penta and Hepta Quark State in Confining Gauge Theories
摘要：
研究了D5膜在渐近AdS ${}_5\times S^5$时空中的一个新的嵌入解，它与封闭的$SU(N_c)$规范理论是对偶的.与全息重子顶点的情况一样，D5膜也包裹在$S^5$上。然而，这里给出的解与通常的重子顶点不同，因为它分别耦合到$S^5$的相对两点（北极和南极）上的$k$ -反夸克和$N_c+k$夸克。当反夸克为负1时，这个态的总夸克数保持为$N_c$，形成类似重子的色单态。然而，这包括反夸克和夸克，它们的数量大于重子。当我们设置为$N_c=3$时，我们发现了所谓的五夸克态和七夸克态。我们研究这些状态的动力学性质，通过解决这种状态的顶点和弦配置。估计了这些态的质量谱和拉伸顶点的张力，并与重子的质量谱和拉伸顶点的张力进行了比较。
英文摘要：
We study a new embedding solutions of D5 brane in an asymptotic AdS${}_5\times S^5$ space-time, which is dual to a confining $SU(N_c)$ gauge theory. The D5 brane is wrapped on $S^5$ as in the case of the vertex of holographic baryon. However, the solution given here is different from the usual baryon vertex in the point that it couples to $k$-anti-quarks and $N_c+k$ quarks on the opposite two points of $S^5$, the north and south poles, respectively. The total quark number of this state is preserved as $N_c$ when minus one is assigned to anti-quark, then it forms a color singlet like the baryon. However, this includes anti-quarks and quarks, whose number is larger than that of the baryon. When we set as $N_c=3$, we find the so called penta and hepta-quark states. We study the dynamical properties of these states by solving the vertex and string configurations for such states. The mass spectra of these states and the tension of the stretched vertex are estimated, and they are compared with that of the baryon.
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