Calculate the scattering phase sift

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Homework Statement


calculate the scattering phase sift for given potential
v(r)=-a/r +b/r2( consider only s-wave scattering)
a=+ve constant
b=+ve constant

Homework Equations


phase sift=f(-k,0)/f(k,0)
k2=2mE/\hbar2
r*f(k,r)=solution of schrodinger equation

The Attempt at a Solution


I have solved the schrodinger equation and i have found that 'phase sift' =1
but physically i did not understand the ans..
 
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what does a positive phase shift tells you?
 


i have found that
exp(2i\delta)=1
=>\delta=n*pi ,n=+ve or -ve integer
therefore s-wave contribution to the differential scattering cross section=lim(k2-->0)1/(k2 +k2cot2\delta)=0
i do not understand this.potential is nonzero but there is no scattering contribution!
 

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