在基于OZI的微观模型中关联多通道散射和生产振幅
Relating multichannel scattering and production amplitudes in a microscopic OZI-based model
摘要：
在介子-介子散射的微观多通道模型中，研究了与夸克-反夸克通道耦合的介子-介子散射与产生振幅之间的关系。重叠的共振和适当的阈值行为的处理完全在模型中。在旁观者假设下，发现两粒子产生振幅与弹性散射振幅有一个共同的分母，分子由全部弹性矩阵元和部分非弹性矩阵元的线性组合构成。这些线性组合中的系数一般是复杂的。最后，满足了产生振幅和散射振幅的标准算符表达式，即A = T/V和Im（A）= T * A，而在小耦合极限下恢复了通常的等压线模型。
英文摘要：
Relations between scattering and production amplitudes are studied in a microscopic multichannel model for meson-meson scattering, with coupling to confined quark-antiquark channels. Overlapping resonances and a proper threshold behaviour are treated exactly in the model. Under the spectator assumption, it is found that the two-particle production amplitude shares a common denominator with the elastic scattering amplitude, besides a numerator consisting of a linear combination of all elastic and some inelastic matrix elements. The coefficients in these linear combinations are shown to be generally complex. Finally, the standard operator expressions relating production and scattering amplitudes, viz. A=T/V and Im(A)=T*A, are fulfilled, while in the small-coupling limit the usual isobar model is recovered.
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