  In this paper, we utilize the method in Dodson-Murphy [4] to establish the
radial scattering result for the focusing nonlinear Schr\"odinger equation with
inverse square potential $i\pa_tu-\la u=-|u|^{p-1}u$ in the energy space
$H^1_a(\R^d)$ in dimensions $d\geq3$, which extends the result of [10,11] to
higher dimensions cases but with radial initial data. The new ingredient is to
establish the dispersive estimate for radial function and overcome the weak
dispersive estimate when $a<0$.
