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arXiv 1202.3556hep-phhep-lat
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重子基态的奇异性

Strangeness in the baryon ground states

A. Semke, M. F. M. Lutz

摘要:

我们计算重子八重态和十重态的奇异含量的基础上分析最近的晶格模拟的宝马,PACS,LHPC和HSC集团的介子质量的重子质量的依赖。我们的结果依赖于相对论手征拉格朗日和大$N_c$求和规则估计的重子质量在N $^3$ LO相关的计数器条款。在对重子自能的单圈贡献中,使用物理重子和介子质量意味着部分求和。实现了对BMW、LHPC、PACS和HSC群的晶格结果的同时描述。从整体拟合,我们确定的轴向耦合常数$F\simeq 0.45$和$D \simeq 0.80 $在协议中提取的重子半轻子衰变的值。此外,恢复了QCDSF-UKQCD组获得的八重态和十重态质量的各种味对称极限。我们预测了不同奇异夸克质量下八重态和十重态基态的π介子和奇异σ项以及π介子质量依赖性。

英文摘要:

We compute the strangeness content of the baryon octet and decuplet states based on an analysis of recent lattice simulations of the BMW, PACS, LHPC and HSC groups for the pion-mass dependence of the baryon masses. Our results rely on the relativistic chiral Lagrangian and large-$N_c$ sum rule estimates of the counter terms relevant for the baryon masses at N$^3$LO. A partial summation is implied by the use of physical baryon and meson masses in the one-loop contributions to the baryon self energies. A simultaneous description of the lattice results of the BMW, LHPC, PACS and HSC groups is achieved. From a global fit we determine the axial coupling constants $F\simeq 0.45$ and $D \simeq 0.80 $ in agreement with their values extracted from semi-leptonic decays of the baryons. Moreover, various flavor symmetric limits of baron octet and decuplet masses as obtained by the QCDSF-UKQCD group are recovered. We predict the pion- and strangeness sigma terms and the pion-mass dependence of the octet and decuplet ground states at different strange quark masses.

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