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从解析性、阈行为和么正性的考虑出发,可以给出π-N散射的(3,3)分波振幅的一个近似表示式,其中只含耦合常数和共振能级两个参量。此表示式在从阈值直到入射π介子实验室动能Eπ≈350MeV范围内都同实验很好地符合。与Chew-Low结果相比较,它给出的q3/ω ctgδ33随ω的变化不是一直线,而是一向下弯曲的曲线,这种对Chew-Low理论的改进,正是实验所要求的。分析表明,Chew-Low展开在解析性方面存在着缺点,此项缺点在现今的处理中已经得到改正。An approximate expression for the (3.3) partial wave amplitude is given from the analyticity, unitarity, and threshold behaviuor consideration, in which only two parameters, namely the coupling constant and resonance level, are introduced. This expression is in good agreement with the experimental data from the threshold up to the pion laboratory kinetic energy of about 350 MeV. In comparison with Chew-Low's result, it gives the variation of q3/ω ctgδ33 with ω not following a straight line but a curve concave downward. Such an improvement is just required by the experimental data. It is shown, there is some inadequacy concerning analyticity in the Chew-Low's expansion, and this inadequacy has been overcomed in the present formulation.
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