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arXiv 0705.3260hep-ph
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标量共振:散射和产生振幅

Scalar resonances: scattering and production amplitudes

D. R. Boito, M. R. Robilotta

摘要:

根据沃森定理,已知涉及标量共振的散射和产生振幅共享相同的相位$δ(s)$。我们发现,在低能量下,生产振幅完全由$δ(s)$与另一个相位$ω(s)$的组合决定,该相位描述了中间两介子的传播,并且在理论上是明确的。我们的主要结果是一个简单的和几乎与模型无关的表达式,它推广了通常的$K$ -矩阵酉化过程,并适合于使用在涉及标量共振的生产数据的分析。

英文摘要:

Scattering and production amplitudes involving scalar resonances are known, according to Watson's theorem, to share the same phase $δ(s)$. We show that, at low energies, the production amplitude is fully determined by the combination of $δ(s)$ with another phase $ω(s)$, which describes intermediate two-meson propagation and is theoretically unambiguous. Our main result is a simple and almost model independent expression, which generalizes the usual $K$-matrix unitarization procedure and is suited to be used in analyses of production data involving scalar resonances.

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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