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arXiv 1009.3149nucl-thhep-ph
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核子-核子系统中的有效相互作用和长距离对称性

Effective interactions and long distance symmetries in the Nucleon-Nucleon system

E. Ruiz Arriola, A. Calle Cordon

摘要:

有效的相互作用,当定义在一个粗粒度的意义上,如Vlowk在规模450兆电子伏,显示出显着的对称模式。Serber对称性对于自旋三重态具有高精度。核子在基本表象中的维格纳SU(4)自旋-同位旋对称性只适用于偶数分波,与QCD的大Nc极限所预言的精确度为O(1/Nc^2)的情况完全一致。这意味着要对有效相互作用的定义进行剪裁,以提供长距离对称性的最佳可能实现。根据Vlowk定义,维格纳对称性要求手征势具有低截止值(450 MeV)。重介子共振的微扰饱和并不能忠实地显示Serber对称性模式。

英文摘要:

Effective interactions, when defined in a coarse grained sense, such as Vlowk at the scale 450 MeV, display a remarkable symmetry pattern. Serber symmetry works with high accuracy for spin triplet states. Wigner SU(4) spin-isospin symmetry with nucleons in the fundamental representation works only for even partial waves exactly as predicted by large Nc limit of QCD with accuracy O(1/Nc^2). This suggests tailoring the very definition of effective interactions to provide a best possible fulfillment of long distance symmetries. With the Vlowk definition Wigner symmetry requires that chiral potentials have low cut-offs (450 MeV). Perturbative saturation of heavy mesonic resonances does not faithfully display the Serber symmetry pattern.

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