Is there a similar version of the summation theorem for spherical Bessel functions $j_{k}$ that of standard Bessel function $J_{k}$? Especially look below Eq.(3) in this paper https://arxiv.org/abs/cond-mat/0510271 for $J_{0}\left(\left|p-p'\right|r\right)$.
$J_{0}\left(\left|\vec{p}-\vec{p'}\right|r\right)=\sum_{k=-\infty}^{\infty}J_{k}\left(pr\right)J_{k}\left(p'r\right)\cos k\theta$$$J_{0}\left(\left|\vec{p}-\vec{p'}\right|r\right)=\sum_{k=-\infty}^{\infty}J_{k}\left(pr\right)J_{k}\left(p'r\right)\cos k\theta$$
where $\theta$ is the angle between the two vectors in the plane.
I am interested to know whether a similar expression exist for $j_{0}\left(\left|\vec{p}-\vec{p'}\right|r\right)$, where the vector lies in three dimension.
