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The BCS theory of superconductivity is extended to recognize pairing ofelectrons by both normal and umklapp scattering. Application of the variationalapproach shows that coexistence of normal and umklapp scattering frustratessuperconductivity.Comment: 9 pages, 5 figures. to be published in Journal of Physics: Condensed  Matte

Umklapp scattering of pairs in BCS superconductivity theory