REGGE BEHAVIOUR FOR THE SCATTERING UNDER A POTENTIAL WITH A SINGULARITY AT ORIGIN HIGHER THAN z~(-2)

Abstract

摘要 当位势V(z)在原点有高于二阶的极点时(在右半平面V(z)解析,当z→∞时z2V→0),证明了(1)S矩阵元为λ(λ=ι+1/2,ι是角动量)的半纯函数;(2)当λ在右半平面|argλ|<π/2内趋于无穷大时,|S-1|≤C((log|λ|)/|λ|)。 Abstract Assuming that: (l), the potential V(z)→z-n(n>2) as z→0; (2), V is regular in Re z>0; (3), V(z)z2→0 as z→∞ in |arg z|<π/2, the following assertions are proved: (l), the scattering matrix element S is meromorphic in the whole λ plane (λ=l+1/2,l—angular momentum);(2)S-1→O((log|λ|)/|λ|) as λ→∞ in |arg λ|<π/2. 作者及机构信息 戴元本 1. 中国科学院 Authors and contacts DAI YUAN-BEN 1. 中国科学院 参考文献 [1] 施引文献