Magnetic Effects in Color-Flavor Locked Superconducting Phase with the Additional Chiral Condensates

In the color-flavor locked quark superconducting phase are investigated within the three-flavor Nambu-3ona- with the additional chiral condensates, the magnetic effects -Lasinio framework. Based on the rotated electromagnetic mechanism, we incorporate the effective quark masses into the coexistence phase self-consistently. The numerical calculation shows that the magnetic catalysis of effective masses is different from the known phenomenon that occurs in the unpaired quark matter. Moreover, the interplay between magnetic catalysis and gap splitting is studied for the first time.