Stability of regularizations of the many-particle Schrödinger operator with singular repulsive two-body interaction potential

Stability of regularisations of the $d$-dimensional ($d\geqslant2$) $N$-particle Schrödinger operator with singular repulsive two-body potential is studied under the assumption that the singular set of the potential is sufficiently thin. It is proved that any positive regularisation is stable for the system under consideration.