The original paper by P.W. Anderson presents the infrared orthogonality catastrophe for the fermionic many-body system in the presence of local scattering potential, e.g. $V(r)=\delta(r)$. The derivation is quite straightforward: one needs to consider the Slater determinant of the free particle wavefunctions (in spherical coordinates):$$\psi=\gamma_{l}j_{l}(kr)Y_{lm}(\theta,\varphi)$$and the scattered waves with the phaseshift $\delta(E)$ given by the scattering theory. Taking the overlap between them, one may see that it goes to zero with the increasing system size $N$.
What I am interested are absolutely the same derivations, but for the potential that has p-wave, d-wave,... components. It is kind of expected for the orthogonality catastrophe to remain in that case, but I wonder whether there are papers/lecture notes/textbook chapters on that topic. Since I struggled to find them myself I wonder if people have encountered something similar.
