Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant

We obtain the asymptotics of the negative discrete spectrum of the Schrödinger operator with a large coupling constant and potentials $V \notin {L_{m/2}}({R^m}),\;m \geqslant 3$. The result is very sensitive to small perturbations of the potential and depends on the negative spectrum of some auxiliary differential problems on ${S^{m - 1}}$.