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arXiv 0901.4043hep-ph
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具有整体对称性的镜像指定中核子的手征伙伴

The chiral partner of the nucleon in the mirror assignment with global symmetry

Susanna Gallas, Francesco Giacosa, Dirk H. Rischke

摘要:

本文在宇称加倍核子的全局对称线性西格玛模型框架下,在树水平上计算了π介子-核子散射长度$a_{0}^{(\pm)}$和描述手征极限下核子质量的质量参数$m_{0}$.当最近的晶格结果[高桥],我们得到$m_{0}\simeq300-600$兆电子伏。虽然$a_{0}^{(-)}$与实验数据相当一致,但由于采用了大的标量介子质量,$a_{0}^{(+)}$太小。这表明需要考虑额外的标量自由度。

英文摘要:

We calculate the pion-nucleon scattering lengths $a_{0}^{(\pm)}$ and the mass parameter $m_{0}$, which describes the nucleon mass in the chiral limit, at tree-level in the framework of a globally symmetric linear sigma model with parity-doubled nucleons. When recent lattice results [Takahashi] are used, we obtain $m_{0}\simeq300-600$ MeV. While $a_{0}^{(-)}$ is in fair agreement with experimental data, $a_{0}^{(+)}$ is too small because of the employed large scalar meson mass. This indicates the need to account for additional scalar degrees of freedom.

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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