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用色散关系讨论了低能π-N散射振幅T+的部分、指出对P1/2波的散射,用CGLN公式计算的结果基本上即已符合实验,对于S波散射,用CGLN得的与实验值的符号都相反,且随q迅速增加而超过么正条件所允许的极限,经过分析指明不可能引入π-πS波作用来解决这个问题,而同时还能保持使P1/2波与实验相符,但从“减去”(subtraction)一次的S波色散关系出发,则由此修改后的CGLN公式计算的结果就基本上与实验相符,而π-π作用看来对它们只起着细致的调节作用。Starting from the dispersion relation we have discussed low energies π-N scattering amplitude with isospin positive part. It is shown that for P1/2+ -wave, the results evaluating from CGLN formula are essentially in agreement with experiments. But for S-wave, when comparing with experiments, even the sign of CGLN results is wrong. Further they are increasing as energy very rapidly that exceeds the limit allowed by the unitary condition. From analysis it is shown that one cannot solve this problem and at the same time keep the agreeing of the calculated P1/2+-wave results with the experiments by introducting a π-π S-wave interaction. But alternatively if we attacked from the π-N S-partial wave dispersion relation with one subtraction, then the results agree with the experiments fairly well. So it is likely that the π-π S-wave interaction plays an unimportant role in it.
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