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arXiv 1202.4607hep-ph
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复合强子态的波函数及其与一般分波散射振幅耦合的关系

Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves

F. Aceti, E. Oset

摘要:

本文给出了动量空间中的散射振幅与坐标空间中的波函数之间的联系,将以前对s波所做的工作推广到任何分波。详细研究了束缚态或共振态极点处的散射振幅的留数与波函数的关系。一个求和规则得到的耦合提供了一个推广到耦合通道,任何分波和束缚或共振态,温伯格的复合条件,这是唯一有效的弱束缚态在一个通道和s波。一个例子,只需要实验数据,显示的$ρ$介子表明,它不是一个复合粒子的$ππ$,但别的东西。

英文摘要:

In this paper we present the connection between scattering amplitudes in momentum space and wave functions in coordinate space, generalizing previous work done for s-waves to any partial wave. The relationship to the wave function of the residues of the scattering amplitudes at the pole of bound states or resonances is investigated in detail. A sum rule obtained for the couplings provides a generalization to coupled channels, any partial wave and bound or resonance states, of Weinberg's compositeness condition, which was only valid for weakly bound states in one channel and s-wave. An example, requiring only experimental data, is shown for the $ρ$ meson indicating that it is not a composite particle of $ππ$ but something else.

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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