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arXiv 1010.3792hep-phnucl-th
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手征孤子模型中SU(3)重子的质量分裂

Mass splittings of SU(3) baryons within a chiral soliton model

Ghil-Seok Yang, Hyun-Chul Kim

摘要:

在同时考虑同位旋和SU(3)味对称性破缺的情况下,我们采用“模型无关方法”,研究了手征孤子模型中SU(3)重子的完全质量分裂.在线性序下,导出了几个新的质量关系式,它们大多是现有质量公式的推广。出现在表达式中的质量的动力学量是固定的,通过拟合他们的重子八重态的质量和质量的$Ω^{-}$和$Θ^{+}$作为输入,而不是通过提取它们从计算的自洽孤子的配置文件。特别是,考虑到同位旋对称性破缺,我们可以使用整个八重态重子质量的实验数据作为输入。在没有任何可调自由参数的情况下,我们预言了重子十重态和反十重态的质量。此外,我们还得到了π-核子σ项,它是$Σ_{πN} = 36.4\pm3.9\,\mathrm{MeV}$。我们得到了当前轻夸克质量的比值$R = 58.1\pm1.3$。目前的结果表明,最近的实验数据为$Θ^{+}(1524)$的八重态和十重态质量的实验数据是兼容的。

英文摘要:

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new mass relations are derived, which are mostly generalizations of existing mass formulae. The dynamical quantities appearing in the expressions for the masses are fixed by fitting them to the masses of the baryon octet and the masses of $Ω^{-}$ and $Θ^{+}$ as input rather than by extracting them from a calculated self-consistent soliton profile. In particular, the consideration of isospin symmetry breaking allows us to use the experimental data of the whole octet baryon masses as input. We predict the masses of the baryon decuplet and antidecuplet without any further adjustable free parameter. In addition, we also obtain the pion-nucleon sigma term which turns out to be $Σ_{πN} = 36.4\pm3.9\,\mathrm{MeV}$. We get the ratio of the current light quark masses $R = 58.1\pm1.3$. The present results indicate that the recent experimental data for the $Θ^{+}(1524)$ are compatible with the experimental data of the octet and decuplet masses.

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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