It has been found that the observed low-energy DCX cross-section
are in strong discrepancy with the predictions based on various nuclear models.
Also the strong forward peaking of the cross-section at the pion kinetic energy
remains in contrast with calculations.
A new model of the above processes based on proton-neutron Quasiparticle Random Phase Approximation (pnQRPA) with realistic two-nucleon forces generated by one-boson exchange potential of Bonn type has been developed by Lublin-Tuebingen collaboration. This model has already been successfully used to describe two-neutrino double beta decay in heavier nuclei and at the same time the DCX reaction due to similar nuclear structure aspects of both processes.