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arXiv 0912.4338hep-ph
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具有U_L（3）\times U_R（3）手征对称性的重子场：核子和超子的轴流

Baryon Fields with U_L(3) \times U_R(3) Chiral Symmetry: Axial Currents of Nucleons and Hyperons

Hua-Xing Chen, V. Dmitrasinovic, Atsushi Hosaka

备注：
one typo correction, and accepted by PRD
发表信息：
Phys.Rev.D81:054002,2010
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摘要：

我们利用传统的F和D八重态和十进制生成矩阵，重新表述了文献[12]中以SU（3）张量形式表示的具有味SU（3）对称性的三夸克重子的定域（非导数）和一阶导数非定域场的手征性质.我们首次在SU（3）粒子基上明确地给出了[（6，3）\oplus（3，6）]手性多重态的手性变换，以及文献[1]中记录的（3，\bar{3}）\oplus（\bar{3}，3），（8，1）\oplus（1，8）多重态的手性变换. [4，5]。我们导出了矢量和轴矢量Noether流，并明确地证明了它们的零分量（类电荷）封闭SU_L（3）\times SU_R（3）手征代数.我们利用这些结果研究了手征多重态混合对超子和核子轴流矩阵元的影响。我们表明，特别是，有一个很强的相关性，确实是一个明确的关系之间的味道单线（即零），等矢量（第三）和第八味分量的轴向电流，这是在体面的协议与测量。

英文摘要：

We use the conventional F and D octet and decimet generator matrices to reformulate chiral properties of local (non-derivative) and one-derivative non-local fields of baryons consisting of three quarks with flavor SU(3) symmetry that were expressed in SU(3) tensor form in Ref. [12]. We show explicitly the chiral transformations of the [(6,3)\oplus(3,6)] chiral multiplet in the "SU(3) particle basis", for the first time to our knowledge, as well as those of the (3,\bar{3}) \oplus (\bar{3}, 3), (8,1) \oplus (1,8) multiplets, which have been recorded before in Refs. [4,5]. We derive the vector and axial-vector Noether currents, and show explicitly that their zeroth (charge-like) components close the SU_L(3) \times SU_R(3) chiral algebra. We use these results to study the effects of mixing of (three-quark) chiral multiplets on the axial current matrix elements of hyperons and nucleons. We show, in particular, that there is a strong correlation, indeed a definite relation between the flavor-singlet (i.e. the zeroth), the isovector (the third) and the eighth flavor component of the axial current, which is in decent agreement with the measured ones.

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