Integrate function does not work: doesn't converge

Questions
,
1

I try to integrate this integral. But I could not. Where is my a mistake?

 epsk = k^2/2/m
Ek = Sqrt[epsk*(epsk + 2*Delta)]

sigma0 = -Delta/4/Pi^2*Integrate[k^2/Ek, {k, 0, Infinity}]

How can I solve this problem?

(The answer should be (Delta*m)^(3/2)/Pi^2

2

You may have miswritten your formulas. The integral does not converge.