Electron-electron bound states in Maxwell-Chern-Simons-Proca QED sub 3

We start from a parity-breaking MCS QED sub 3 model with spontaneous breaking of the gauge symmetry as a framework for evaluation of the electron-electron interaction potential and for attainment of numerical values for the e sup - e sup - - bound state. Three expressions V sub e sub f sub f subarrow down subarrow down, V sub e sub f sub f subarrow down subarrow up, V sub e sub f sub f subarrow down subarrow down) are obtained according to the polarization state of the scattered electrons. In an energy scale compatible with condensed matter electronic excitations, these potentials become degenerated. The resulting potential is implemented in the Schroedinger equation and the variational method is applied to carry out the electronic binding energy. The resulting binding energies in the scale of 10-100 meV and a correlation length in the scale of 10 - 30 Angstrom are possible indications that the MCS-QED sub 3 model adopted may be suitable to address an eventual case of e sup - e sup - pairing in the presence of parity-symmetry breakdown. The data analyzed here suggest an energy scale of 10-100 meV to fix the breaking of the U(1)-symmetry.