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arXiv 0907.0529hep-lathep-phnucl-th
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1/N_c重子质量关系的格点检验

A Lattice Test of 1/N_c Baryon Mass Relations

Elizabeth Ellen Jenkins, Aneesh V. Manohar, John W. Negele, Andre Walker-Loud

摘要:

1/N_c重子质量关系与用不同的轻夸克质量值和不同的SU(3)味对称性破缺值进行的重子质量格点模拟进行了比较。格点数据清楚地显示了1/N_c和SU(3)味对称破缺的能级结构。在不假定近似SU(3)味对称性的情况下导出的1/N_c重子质量关系的有效性,也可以在奇夸克质量很大的情况下用格点数据检验。1/N_c展开限制了离散化效应的形式;通过采取适当的质量组合,这些效应被抑制为1/N_c的幂。本文明确地证明了这种1/N_c标度。

英文摘要:

1/N_c baryon mass relations are compared with lattice simulations of baryon masses using different values of the light-quark masses, and hence different values of SU(3) flavor-symmetry breaking. The lattice data clearly display both the 1/N_c and SU(3) flavor-symmetry breaking hierarchies. The validity of 1/N_c baryon mass relations derived without assuming approximate SU(3) flavor-symmetry also can be tested by lattice data at very large values of the strange quark mass. The 1/N_c expansion constrains the form of discretization effects; these are suppressed by powers of 1/N_c by taking suitable combinations of masses. This 1/N_c scaling is explicitly demonstrated in the present work.

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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