夸克禁闭与分数量子霍尔效应
Quark Confinement and the Fractional Quantum Hall Effect
摘要：
在Wilson因子和Aharonov-Bohm效应的基础上，我们发现在流管-夸克系统中，由三个重味夸克组成的重子的拓扑结构类似于凝聚态中的分数量子霍尔效应（Fractional Hall effect，FHE）。这种相似性导致重子的组分夸克具有1/3的“填充因子”，从而证实了夸克禁闭是关联效应的猜想。此外，通过导出类似于Escheriche的哈密顿量，我们预言了一个重三夸克系统的基态的能隙。
英文摘要：
Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in the fluxtube-quark system the topology of a baryon consisting three heavy flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in condensed matter. This similarity yields the result that the constituent quarks of baryon have the "filling factor" 1/3, thus the previous conjecture that quark confinement is a correlation effect was confirmed. Moreover, by deriving a Hamiltonian of the system analogous to that of FQHE, we predict an energy gap for the ground state of a heavy three-quark system.
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