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arXiv 0910.2229hep-phhep-latnucl-th
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低能QCD中无径向激励。I.双夸克与介子分类

No Radial Excitations in Low Energy QCD. I. Diquarks and Classification of Mesons

Tamar Friedmann

摘要:

我们提出了一个新的示意模型的介子,其中的积木是夸克和味反对称双夸克。其结果是将整个介子谱重新分类为夸克-反夸克和双夸克-反双夸克态,但并不产生径向量子数:迄今为止,所有被认为是径向激发的介子都是轨道激发的双夸克-反双夸克态;同样,也不存在径向激发的重子。此外,以前被视为“奇异”的介子不再是奇异的,因为它们现在自然地被纳入双夸克-反双夸克态的分类中。这种分类也导致了异强子(isorons)的引入,它是原子同位素的类似物,以及它们的幻数量子数,它是核壳模型幻数的类似物。幻子的量子数与格点量子色动力学中低位胶球的量子数相匹配。我们观察到介子中夸克间力的行为与重子中夸克间力的行为有很大的不同:在性质上,介子中夸克间力是色磁的,而重子中夸克间力是色静电的。我们评论潜在的模型和氢原子。我们的结果对禁闭、渐近自由和强子的两个基本性质--它们的大小和能量--之间的一组新的关系的影响在我们的姊妹论文[arXiv:0910.2231]中讨论。

英文摘要:

We propose a new schematic model for mesons in which the building blocks are quarks and flavor-antisymmetric diquarks. The outcome is a new classification of the entire meson spectrum into quark-antiquark and diquark-antidiquark states which does not give rise to a radial quantum number: all mesons which have so far been believed to be radially excited are orbitally excited diquark-antidiquark states; similarly, there are no radially excited baryons. Further, mesons that were previously viewed as "exotic" are no longer exotic as they are now naturally integrated into the classification as diquark-antidiquark states. The classification also leads to the introduction of isorons (iso-hadrons), which are analogs of atomic isotopes, and their magic quantum numbers, which are analogs of the magic numbers of the nuclear shell model. The magic quantum numbers of isorons match the quantum numbers expected for low-lying glueballs in lattice QCD. We observe that interquark forces in mesons behave substantially differently from those in baryons: qualitatively, they are color-magnetic in mesons but color-electrostatic in baryons. We comment on potential models and the hydrogen atom. The implications of our results for confinement, asymptotic freedom, and a new set of relations between two fundamental properties of hadrons - their size and their energy - are discussed in our companion paper [arXiv:0910.2231].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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