“…On the other hand, the development of the radioactive ion beam (RIB) facilities [26] has opened a new frontier for nuclear physics, the field of exotic nuclei far from the valley of stability [27,28,29,30,31,32,33] and the upgrades and constructions of the RIB facilities [34,35,36,37] in recent few years will provide us with new possibilities to study exotic modes in nuclear systems. The current application of DDRHF is limited to nuclei in the β-stability valley and pairing effects in open shell nuclei are treated only within the BCS approximation [17,19].…”