THE REGGE BEHAVIOUR FOR A CLASS OF NONLOCAL POTENTIALS

Abstract

摘要 对一类非定域位势证明了S矩阵元S(λ,k)作为角动量变数λ的函数在Reλ>0半纯,且当λ沿正实轴或负虚轴趋于∞时(S(λ,k)-1)exp(-iπλ)→0。在稍严一些的假设下证明了S(λ,k)在带域|Imk|<μ内对动量变数k半纯。讨论了极点的位置,这类位势在右半平面的Regge极点不一定在第一象限内。 Abstract It is proved that for a class of nonlocal potentials, the S matrix element S(λ,k) as a function of the angular momentum λ is meromorphic in λ in the region Re λ > 0. It is proved further that as λ→∞ along the positive real axis or the negative imaginary axis, [S(λ, k)-1] exp(-iπλ)→0. Under more restrictive assumptions, it is shown that S(λ, k) is meromorphic with respect to the momentum variable k in the strip |Im k| < μ. The positions of the poles are discussed. For such potentials, the Regge poles in the right half plane do not lie necessarily in the first quadrant. 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