Superconductivity in the Model with non Cooper Pairs

TL;DR

This paper proposes a new model of superconductivity based on classically bound electron pairs with negative energy, differing from Cooper pairs, leading to a different mechanism for gap formation and condensate behavior.

Contribution

It introduces a model where electron pairs are classically bound with negative energy, altering the traditional understanding of superconductivity mechanisms.

Findings

The energy of electron pairs is negative at the center of mass.

A gap appears due to a mean field effect on electron states.

No Bose condensation occurs in this model.

Abstract

On a basis of earlier substantiated expression for effective potential of electron-electron attraction in metals the assumption of an opportunity of formation of classically bound pairs is put forward. It was shown that in distinction from the Cooper pair, the energy of the electron pair in this approach is negative in the centrum of mass of the pair. This fact changes the pattern of the superconductivity phenomenon in the proposed model. First, the gap in the one-particle spectrum appears due to the effect of a "mean field" on the energy of electron state from the side of occupied states, the nearest neighbors over the momenta grid. Second, the condensate is formed by electron states with energies below that of the gap edge. No Bose condensation does occur in the system proceeding from the proposed model. In quasi-classical approximation Londons' hypothesis is substantiated.