arXiv 0810.11152008-10-07hep-lat

MA和MC投影QCD中的三夸克系统

Three-quark systems in MA and MC projected QCD

Hideaki Iida, Naoyuki Sakumichi, Hideo Suganuma

备注：: 7 pages, 8 figures, Talk given at 26th International Symposium on Lattice Field Theory, Williamsburg, Virginia, July 14 - 19, 2008
发表信息：: PoS LATTICE2008:254,2008

摘要：

利用Hodge分解研究了淬火SU（3）格点上最大阿贝尔（MA）和最大中心（MC）投影QCD中的三个夸克系统，以及只存在色电/磁流的夸克/光子部分。首先，我们对重子中的三夸克（3Q）势V_{3Q}和弦张力σ_{3Q}进行了定量研究。对于MA投影QCD、SU（3）QCD和MC投影QCD，我们发现V_{3Q}中的禁闭势服从Y-反序，弦张力σ_{3Q}近似等于SU（3）QCD中的弦张力。弦张力σ_{3Q} \simeq σ_{Q \bar Q}在3Q和Q \bar Q势之间也具有普适性。我们发现，夸克间相互作用势在MC投影的QCD和MC投影的QCD之间有很强的相似性。相反，在光子部分的夸克间势中几乎没有发现约束力。其次，我们研究了MA投影QCD中轻强子的能谱以及N-Δ质量分裂的光子/光子部分。我们发现在MA投影的QCD中，N-Δ质量分裂被显著减小，而在MA投影的QCD中，由于阿贝尔化或Hodge分解，单胶子交换效应或库仑势部分被大大减小.这一事实似乎表明，质量分裂的主要来源是单胶子交换。

英文摘要：

We study three quark systems in Maximally Abelian (MA) and Maximal Center (MC) projected QCD on quenched SU(3) lattice, and also in the monopole/photon part, where only the color-electric/magnetic current exists, using the Hodge decomposition. First, we perform the quantitative study of the three-quark (3Q) potential V_{3Q} and the string tension σ_{3Q} in baryons. For MA projected QCD, the monopole part and MC projected QCD, we find that the confinement potential in V_{3Q} obeys the Y-Ansatz and the string tension σ_{3Q} is approximately equal to that in SU(3) QCD. The universality of the string tension, σ_{3Q} \simeq σ_{Q\bar Q}, is also found between the 3Q and the Q\bar Q potentials. We find a strong similarity of the inter-quark potential between the monopole part and MC projected QCD. In contrast, almost no confinement force is found in the inter-quark potential in the photon part. Next, we study the spectrum of light hadrons in MA projected QCD and the monopole/photon part, paying attention to the N-Δmass splitting. We find that the N-Δmass splitting is significantly reduced in MA projected QCD and the monopole part, where the one-gluon-exchange effect or the Coulomb-potential part is largely reduced due to the Abelianization or the Hodge decomposition. This fact seems to indicate that the main origin of the mass splitting is one-gluon exchange.

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摘要：

英文摘要：

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