N-Body Nuclear Forces at Short Distances in Holographic QCD

N-Body Nuclear Forces at Short Distances in Holographic QCD
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DOI:
10.1103/physrevd.81.106003
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发表时间:
2009-11
期刊:
影响因子:
5
通讯作者:
K. Hashimoto;Norihiro Iizuka;T. Nakatsukasa
K. Hashimoto;Norihiro Iizuka;T. Nakatsukasa
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
K. Hashimoto;Norihiro Iizuka;T. Nakatsukasa

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本文给出了全息QCD中近距离N体核子相互作用的计算.在大N c无质量QCD的Sakai-Sugimoto模型中,N重子在5维时空中用N Yang-Mills瞬子描述。我们计算了$N$ 't Hooft瞬子的经典短程相互作用汉密尔顿。这对应于$N$重子共享相同的经典自旋和等自旋。我们发现真正的$N$体核力在第一阶消失了N\ensuremath{\ge}3$。这表明,经典的$N$体力总是抑制相比,2体力。
We provide a calculation of $N$-body ($N\ensuremath{\ge}3$) nucleon interactions at short distances in holographic QCD. In the Sakai-Sugimoto model of large-${N}_{c}$ massless QCD, $N$ baryons are described by $N$ Yang-Mills instantons in 5 spacetime dimensions. We compute a classical short-distance interaction Hamiltonian for $N$ 't Hooft instantons. This corresponds to $N$ baryons sharing identical classical spins and isospins. We find that genuine $N$-body nuclear forces turn out to vanish for $N\ensuremath{\ge}3$, at leading order. This suggests that classical $N$-body forces are always suppressed compared with 2-body forces.