Quasiparticle Density Functional Theory with Dispersive Optical Model Self Energies

The quasiparticle extension of Kohn-Sham Density Functional Theory proposed by Van Neck et al.\footnote{D. Van Neck, et al., Phys. Rev. A 74, 042501 (2006)} and further applied to atoms\footnote{S. Verdonck, et al., Phys. Rev. A 74, 062503 (2006)} is promising for nuclear calculations, because overlap functions and spectroscopic factors are in principle calculable. Starting with spherical Skyrme-Hartree-Fock-Bogolyubov calculations,\footnote{K. Bennaceur, J. Dobaczewski, Comput. Phys. Comm. 168 (2005) 96-122} and self energies provided by Dispersive Optical Model calculations,\footnote{R. J. Charity, et al., Phys. Rev. C 76, 044314 (2007) and R. J. Charity, et al., Phys. Rev. Lett. 97, 162503 (2006)} new quasiparticle functionals are explored for nuclei using this method.