Odd Nuclei and Quasiparticle Excitations Within the Barcelona Catania Paris Madrid Energy Density Functional

An extension of the Barcelona Catania Paris Madrid (BCPM) energy densityfunctional is proposed to deal with odd-mass systems as well asmultiquasiparticle excitations. The extension is based on the assumption thatthe equal filling approximation (EFA) is a valid alternative to the traditionalfull blocking procedure of the Hartree-Fock-Bogoliubov method. The assumptionis supported by the excellent agreement between full blocking and EFAcalculations obtained with different parametrizations of the Gogny interaction.The EFA augmented BCPM functional is used to compute low energy excitationspectra of selected nuclei in different regions of the nuclear chart, andhigh-K isomers in ^178Hf. We show that BCPM predictions are in goodagreement with Gogny D1M results and experimental data.