论文标题

在弹性散射中相位的动量转移依赖性

On the momentum transfer dependence of the phase in elastic scattering

论文作者

Petrov, Vladimir A.

论文摘要

讨论了这个问题:在多大程度上,弹性散射幅度的阶段通常是从动量传递\ textit {在$ t $限制$ t限制$ t $ t $依赖性的阶段的阶段。分析性允许证明,如果强烈的相互作用散射幅度的阶段独立于$ t $的小值转移的动量$ t $,那么它在所有物理区域都可以。此外,如果这样的独立性在任何物理能量中都具有$ \ sqrt {s} $区域,包括无限量接近第一个无弹性阈值的值,从整个散射幅度下方消失。还讨论了该阶段的$ t $依赖性与交互范围的大小的关系。

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.

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