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arXiv 0901.4449hep-thhep-phnucl-th
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从弦论看核力

Nuclear Force from String Theory

Koji Hashimoto, Tadakatsu Sakai, Shigeki Sugimoto

摘要:

我们在IIA型弦论的D4-D8膜组态的基础上计算了QCD全息模型中的核力。核子的排斥核在核物理中具有重要的意义,但在强耦合QCD中它的起源一直没有得到很好的理解。我们发现,弦论通过规范/弦对偶性推导出这种排斥核在核子之间的短距离。由于该模型中的重子在味D ~ 8-膜上被实现为Yang-Mills瞬子组态所给出的孤子,因此双瞬子的自洽模型构造很好地探测了短尺度下的核子相互作用,定量地给出了核力.我们得到,以及一个张量力,一个中心力,这是强烈排斥的实验和晶格结果中建议。特别是,核子-核子势V(r)(作为距离的函数)的标度为1/r^2,这是全息模型所特有的。我们比较了我们的结果与单玻色子交换模型使用的核子-核子-介子耦合在我们以前的文件(arXiv:0806.3122)。

英文摘要:

We compute nuclear force in a holographic model of QCD on the basis of a D4-D8 brane configuration in type IIA string theory. Repulsive core of nucleons is quite important in nuclear physics, but its origin has not been well-understood in strongly-coupled QCD. We find that string theory via gauge/string duality deduces this repulsive core at short distance between nucleons. Since baryons in the model are realized as solitons given by Yang-Mills instanton configuration on flavor D8-branes, ADHM construction of two instantons probes well the nucleon interaction at short scale, which provides the nuclear force quantitatively. We obtain, as well as a tensor force, a central force which is strongly repulsive as suggested in experiments and lattice results. In particular, the nucleon-nucleon potential V(r) (as a function of the distance) scales as 1/r^2, which is peculiar to the holographic model. We compare our results with one-boson exchange model using the nucleon-nucleon-meson coupling obtained in our previous paper (arXiv:0806.3122).

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