arXiv 1111.25622011-11-10hep-phhep-exhep-latnucl-th

手征对称性破缺与强子的自旋含量

Chiral symmetry breaking and the spin content of hadrons

L. Ya. Glozman, C. B. Lang, M. Limmer

备注：: 7 pp, Presented at Int. School of Nuclear Physics: "From Quarks and Gluons to Hadrons and Nuclei", Erice-Sicily, 16 - 24 September, 2011
DOI：: 10.1016/j.ppnp.2011.12.035

摘要：

从无限动量系中的部分子分布可以发现，只有大约30%的核子自旋是由价夸克的自旋携带的，这引起了“自旋危机”一词。类似的结果适用于最低的介子，因为它遵循晶格模拟。我们在静止坐标系中定义了介子的自旋含量，使用了一个完全的正交$\bar q q$手征基和一个从手征基到（2S+1）LJ基的幺正变换.然后，在一个给定的分辨率尺度下，给定介子波函数中不同的手征表示的混合，我们可以得到它在这个尺度下的自旋含量。为了得到介子中手征表象的混合，我们在动力学晶格模拟中测量了具有不同手征结构的间极化子的耦合比。对于ρ介子，我们实际上得到了没有自旋危机痕迹的3S1态。于是一个自然的问题出现了：哪个定义反映了强子的自旋含量？

英文摘要：

From the parton distributions in the infinite momentum frame one finds that only about 30% of the nucleon spin is carried by spins of the valence quarks, which gave rise to the term "spin crisis". Similar results hold for the lowest mesons, as it follows from the lattice simulations. We define the spin content of a meson in the rest frame and use a complete and orthogonal $\bar q q$ chiral basis and a unitary transformation from the chiral basis to the (2S+1)LJ basis. Then, given a mixture of different allowed chiral representations in the meson wave function at a given resolution scale, one can obtain its spin content at this scale. To obtain the mixture of the chiral representations in the meson we measure in dynamical lattice simulations a ratio of couplings of interpolarors with different chiral structure. For the rho meson we obtain practically the 3S1 state with no trace of the spin crisis. Then a natural question arises: which definition does reflect the spin content of a hadron?

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