Falttnsen 
1 : (C-5) 
~*~ 
iT] 
g 
a eee (c-6) 
Zz, v2 g 
It can be shown that when k > k, or k<k, the poles of the inte- 
grand of (C-3) are real and when k,<k <0 the poles of the integrand 
of (C-3) are imaginary. 
Let us now study I(k), given by (C-3), for different ranges 
Ofte < 
Casel: k, < k<k, 
This is the case in which the poles are imaginary. We define 
g 
P= i V(y-e) - (0 + Un)? /e 
(C-7) 
By introducing a closed curve in the complex C. plane properly 
indented at the branch point i vy -k | of the integrand of (C-3) and 
using the residue theorem, we will get 
2miv Ht e y e Bi 
Ce 
i(k) = 
1820 
