An exotic proposal on Cooper pairing in high-$T_c$ supercondutors

We propose that a Cooper pair in a high-$T_c$ superconductor might be in fact a bound system $\rm eex\bar x$ of two electrons, a particle $\rm x$ and its antiparticle. We assume $\rm eex\bar x$ is more massive than two free electrons. We observe that $\rm eex\bar x$ should be stable in a solid if it is in a low enough state in the solid. A solid which admits such a low state for $\rm eex\bar x$ has some properties which seem closely related to the behavior of HTS materials. The interaction of the $\rm x$-particle which binds the four particles into $\rm eex\bar x$ has been discussed. We also discuss the scale of the mass excess of $\rm eex\bar x$ relative to two free electrons. An experiment designed to detect a bound system of two electrons with a mass excess has been proposed.