On the theory of superconductors with open-quotes oddclose quotes pairing

The authors consider a model of superconducting pairing with a gap function that is odd in k-kF. In this case superconductivity is possible even in the presence of arbitrarily strong point repulsion between electrons, which is an attractive feature from the viewpoint of the theory of high-Tc metal oxides. The authors suggest a model of pairing interaction in which the equations of the BCS theory can be solved exactly, which makes it possible to fully analyze the ranges of existence of ordinary (open-quotes evenclose quotes) and open-quotes oddclose quotes pairing in terms of the interaction parameters. The authors show that normal impurities (disorder) lead to extremely strong suppression of open-quotes oddclose quotes pairing, even stronger than magnetic impurities do in conventional superconductors