z-4排斥位势的Regge极点

对z^-4排斥位势证明了:(1)当|λ|→∞,|argλ|<π/2-ε时,S矩阵元S(λ,k)→1。(2)当|λ|→∞时,有无穷多个极点存在于虚轴的小角邻域内,并且这些极点的实部和虚部同时趋于∞,因此通常的双色散关系不成立。

REGGE POLES FOR z-4 REPULSIVE POTENTIAL

It is proved that the S matrix element S(λ, k) for the z^-4 repulsive potential → 1 as |λ|→∞ in the sector 0 ≤| argλ | <π/2-ε and that it has infinitely many Reggepoles in a small angle neighbourhood of the imaginary axis with their real and imaginary parts approaching ∞ simultaneously. Ordinary double dispersion relation does not hold in this case.