非弹性阈值附近共振产生振幅的新参数化
New parameterization of the resonant production amplitudes near an inelastic threshold
摘要:
导出了非弹性阈值附近的共振散射和产生振幅的新公式。结果表明,在实验分析中经常使用的Flatte公式是不够准确的。将其应用于数据分析会导致有效质谱和共振极位置的显著失真。提出了一种满足广义Watson定理的酉参数化方法。它可以方便地用于研究介子的产生过程、多道介子-介子相互作用和共振性质,包括标量共振a_0(980)和f_0(980)。
英文摘要:
New formulae for the resonant scattering and the production amplitudes near an inelastic threshold are derived. It is shown that the Flatte formula, frequently used in experimental analyses, is not sufficiently accurate. Its application to data analysis can lead to a substantial distortion of the effective mass spectra and of the resonance pole positions. A unitary parameterization, satisfying a generalized Watson theorem for the production amplitudes, is proposed. It can be easily applied to study production processes, multichannel meson-meson interactions and the resonance properties, including among others the scalar resonances a0(980) and f_0(980).
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