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arXiv 0707.3594hep-ph
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关于标量介子的谱函数

On the spectral functions of scalar mesons

Francesco Giacosa, Giuseppe Pagliara

摘要:

本文研究了单通道和双通道情况下标量介子的谱函数。当传播子满足Källen-Lehman表示时,得到归一化谱函数,允许在衰减率的评估中考虑有限宽度效应。在单通道情况下,适用于轻σ介子和k介子,谱函数可以一致地偏离Breit-Wigner形状。在双通道情况下,一个亚阈通道的谱函数可用Flatte分布很好地近似,当应用于a_0(980)和f_0(980)介子时,分析了树能级禁戒KK衰变。

英文摘要:

In this work we study the spectral functions of scalar mesons in one- and two-channel cases. When the propagators satisfy the Källen-Lehman representation a normalized spectral function is obtained, allowing to take into account finite-width effects in the evaluation of decay rates. In the one-channel case, suitable to the light sigma and k mesons, the spectral function can deviate consistently from a Breit-Wigner shape. In the two-channel case with one subthreshold channel the evaluated spectral function is well approximated by a Flatte' distribution; when applying the study to the a_0(980) and f_0(980) mesons the tree-level forbidden KK decay is analysed.

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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