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arXiv 2001.04844hep-phhep-th
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弹性散射中相位与动量转移的关系

On the momentum transfer dependence of the phase in elastic scattering

Vladimir A. Petrov

摘要:

讨论的问题是:通常假设的弹性散射振幅的相位与$ t $的动量传递\textit{in the region of only small values}的独立性通常限制相位的$ t $依赖性到什么程度。分析性允许给出一个证明,如果强相互作用散射振幅的相位在小的$ t $值处与转移的动量$ t $无关,则在所有物理区域都是如此。此外,如果这种独立性在任何物理能量$ \sqrt{s} $区域中成立,包括从低于整个散射振幅的第一非弹性阈值无限接近的值。还讨论了相位的$ t $依赖性与相互作用范围大小的关系。

英文摘要:

The question is discussed: to what extent the often assumed independence of the phase of the elastic scattering amplitude from the momentum transfer \textit{in the region of only small values} of $ t $ limits $ t $-dependence of the phase generally. Analyticity allows to give a proof that if the phase of a strong interaction scattering amplitude is independent on the transferred momentum $ t $ at small values of $ t $ then it does so in all physical region. Moreover, if such an independence holds in any physical energy $ \sqrt{s} $ region including the values infinitesimally close to the first inelastic threshold from below the whole scattering amplitude vanishes. Relationship of the $ t $-dependence of the phase with the size of the interaction range is also discussed.

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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