Correlation functions of two $3$-dimensional transverse potentials with power singularities

We study convolutions of two localized transverse potentials with $-5/2$-power singularities with the Green function of the Laplace operator in the $3$-dimensional space. These potentials correspond to the electromagnetic field with $-1/2$-power singularities which resides at a minimum distance to the domain of the quadratic form of the Laplacian, but does not belong to the latter. The discussed correlation functions can be used as the Nevanlinna functions for the closable extensions of quadratic form of the Laplace operator for the electromagnetic field with $-1/2$-power singularities, and in this way they are important for studying of perturbed Hamiltonians.