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arXiv 1003.3493nucl-th
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σ介子作为2 π共振的统计分析

Statistical analysis of the sigma meson considered as two-pion resonance

M. C. Menchaca Maciel, J. R. Morones Ibarra

摘要:

结果表明,在线性σ模型中,σ介子在真空中与两个虚π介子耦合,最简单的分析预测σ质量和总衰变宽度的最典型值分别为486+/-7MeV和340+/-20MeV。通过统计分析表明,费米实验室(E791)合作报告的实验值约占线性σ模型与Breit-Wigner形式主义预测值的56%。此外,还建立了符合Breit-Wigner分布的σ介子正则化自能谱函数,它合理地再现了费米实验室(E791)合作组和Dalitz图给出的总宽度和可观测质量。结果有力地证明了σ介子可以看作是一个二π介子共振。

英文摘要:

It was found that the most simple analysis in the linear σ- model, where the sigma meson couples in vacuum to two virtual pions, predicted the most typical values for the σ-mass and total decay width as 486+/-7MeV and 340+/-20MeV respectively. It was demonstrate, via statistical analysis, that the experimental values reported by the Fermilab (E791) Collaboration represents approximately 56% of the values predicted by the linear σ- model together with the Breit-Wigner formalism. Additional, it was created the spectral function, in terms of the σ-meson regularized self-energy, which is consistently with the Breit-Wigner distribution and it reproduces reasonably well the total width and observable mass given by the Fermilab (E791) Collaboration and Dalitz plot. The results are a strong evidence that the σ- meson can be considered as a two-pion resonance.

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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