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中国物理学会期刊

在微扰论中的Regge割线

CSTR: 32037.14.aps.21.1381

THE REGGE CUTS IN A PERTURBATION THEORY

CSTR: 32037.14.aps.21.1381
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  • 本文用微扰论研究了一个s道的梯形图在动量输送t变大及几个外质量也变大时(~t1/2)的渐近性质。又用了微扰论直接研究了当一个s道的梯形图与一个寻常极点平行地结合时整个振幅在t道的虚部的渐近性质应如何变化,证明了如果上述组合图所产生的s道分波振幅具有Regge割线,则割线开端必须较现有理论所给出的位置为左。

     

    This paper studies with the help of perturbation theories the asymptotic properties of a ladder in the s channel as the momentum transfer t→∞ and some external masses M2→t1/2. The knowledge of such a property is essential to the calculation of the asymptotic property (as the momentum transfer t→∞) of a diagram which connects a ladder (in the s channel) and an ordinary pole in parallel.This paper studies also the absorptive part in the t channel of the above diagram, namely one which connects a ladder in the s channel and an ordinary pole in parallel. It proves that if the partial waves in the s channel possesses a Regge cut, the starting point of such a cut must lie to the left of the position given by current theories.

     

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