Self-consistent description of single-particle levels of magic nuclei

Abstract

Single-particle levels of seven magic nuclei are calculated within the Energy Density Functional (EDF) method by Fayans et al. Three versions of the EDF are used, the initial Fayans functional DF3 and its two variations, DF3-a and DF3-b, with different values of spin-orbit parameters. Comparison is made with predictions of the Skyrme-Hartree-Fock method with the HFB-17 functional. For the DF3-a functional, phonon coupling (PC) corrections to single-particle energies are found self-consistently with an approximate account for the tadpole diagram. Account for the PC corrections improves agreement with the data for heavy nuclei, e.g. for 208 Pb. On the other hand, for lighter nuclei, e.g. 40,48 Ca, PC corrections make the agreement a little worse. As estimations show, the main reason is that the approximation we use for the tadpole term is less accurate for the light nuclei.

arXiv comment14 pages, 16 figures, 15 tables

References in corpus (10)

• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Nuclear isotope shifts within the local energy-density functional approach
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Effects of the particle-particle channel on properties of low-lying vibrational states
• Many-body effects in nuclear structure
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• Self-consistent calculations of quadrupole moments of spherical nuclei
• The first quadrupole excitations in spherical nuclei and nuclear pairing

Cited by in corpus (22)

• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Spectroscopic properties of nuclear Skyrme energy density functionals
• First applications of Fayans functional to deformed nuclei
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Well funneled nuclear structure landscape: renormalization
• Pion-nucleon correlations in finite nuclei in a relativistic framework: effects on the shell structure
• Unified description of structure and reactions: implementing the Nuclear Field Theory program
• Alpha-decay energies of superheavy nuclei for the Fayans functional
• Phonon contributions to ab initio double mass differences of magic nuclei
• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei
• Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems
• Fayans functional for deformed nuclei. Uranium region
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon induced corrections
• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Phonon-particle coupling effects in odd-even mass differences of semi-magic nuclei
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Particle-phonon coupling effects within theory of finite Fermi systems
• Impact of pion dynamics on nuclear shell structure
• Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams
• The calculation of single-nucleon energies of nuclei by considering two-body effective interaction, n(k,rho), and a Hartree-Fock inspired scheme