Spectroscopic Properties of Nuclear Skyrme Energy Density Functionals

Abstract

We address the question of how to improve the agreement between theoretical nuclear single-particle energies (SPEs) and observations. Empirically, in doubly magic nuclei, the SPEs can be deduced from spectroscopic properties of odd nuclei that have one more or one less neutron or proton. Theoretically, bare SPEs, before being confronted with observations, must be corrected for the effects of the particle vibration coupling (PVC). In the present work, we determine the PVC corrections in a fully self-consistent way. Then, we adjust the SPEs, with PVC corrections included, to empirical data. In this way, the agreement with observations, on average, improves; nevertheless, large discrepancies still remain. We conclude that the main source of disagreement is still in the underlying mean fields, and not in including or neglecting the PVC corrections.

Impact of collective vibrations on quasiparticle states of open-shell odd-mass nuclei and possible interference with the tensor force

“…[16] and takes into account pairing correlations of the superfluid type in the quasiparticle-phonon coupling self-energy. Compared to some perturbative approaches to the PVC [18,24,25], which, in fact, remain on the mean-field level and do not include pairing correlations, our model implies an exact solution of the Dyson equation for the single-quasiparticle propagator with a singular frequency-dependent selfenergy [16,23] and includes quasiparticle-vibration coupling (QVC) and pairing on equal footing. These features of our approach allow a proper description of the nuclei of interest.…”

“…Moreover, there are non-relativistic functionals without effective tensor interaction (such as SkM* and SkP) which provide better accuracy of the description of the 208 Pb spectra (Ref. [25]) than the functional T44 with tensor interaction used in Ref. [18].…”

Phonon effects on the double mass differences in magic nuclei

“…Note also that recently PC corrections to the single-particle energies within different self-consistent approaches were studied in Refs. [32][33][34][35].…”

Phonon–particle coupling effects in the single-particle energies of semi-magic nuclei

“…We cite here such studies within the relativistic mean-field theory [1], within the Skyrme-Hartree-Fock method [2,3,4] and on the basis of the self-consistent theory of finite Fermi systems (TFFS) [5]. The Fayans energy density functional (EDF) was used in the last case to find the self-consistent basis.…”

“…21.65.+f; 26.60.+c; 97.60.Jd Last decade, there was a revival of the interest within different self-consistent nuclear approaches to study the particle-phonon coupling (PC) effects in the singleparticle energies (SPEs) of magic nuclei. We cite here such studies within the relativistic mean-field theory [1], within the Skyrme-Hartree-Fock method [2,3,4] and on the basis of the self-consistent theory of finite Fermi systems (TFFS) [5]. The Fayans energy density functional (EDF) was used in the last case to find the self-consistent basis.…”