Odd-even staggering of binding energies as a consequence of pairing and mean-field effects

Abstract

Odd-even staggering of binding energies is studied in finite fermion systems with pairing correlations. We discuss contributions of the pairing and mean-field to the staggering, and we construct the binding-energy filters which measure the magnitude of pairing correlations and the effective single-particle spacings in a given system The analysis is based on studying several exactly-solvable many-body Hamiltonians as well as on the analytical formulas that can be applied in the weak and strong pairing limits.

14 RevTeX pages, 13 EPS figures, submitted to Physical Review C

References in corpus (1)

• Exact Study of the Effect of Level Statistics in Ultrasmall Superconducting Grains

Cited by in corpus (63)

• Nuclear Energy Density Optimization
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Odd-even mass differences from self-consistent mean-field theory
• Radiative strength functions in 93-98Mo
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Anomalous Behavior of 2+ Excitations around 132Sn
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• Complex nuclear-structure phenomena revealed from the nuclide production in fragmentation reactions
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Evolution of the pygmy dipole resonance in Sn isotopes
• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• Level densities and thermodynamical quantities of heated 93-98Mo isotopes
• Nuclear level densities and gamma-ray strength functions in 44,45Sc
• Level densities and $\gamma$-ray strength functions in Sn isotopes
• Empirical pairing gaps, shell effects, and di-neutron spatial correlation in neutron-rich nuclei
• Level densities and $\gamma$-ray strength functions in ${}^{170,171,172}$Yb
• Isospin Dependence in the Odd-Even Staggering of Nuclear Binding Energies
• Rotational properties of nuclei around ${}^{254}$No investigated using a spectroscopic-quality Skyrme energy density functional
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Integrability and exact spectrum of a pairing model for nucleons
• Constraining the nuclear pairing gap with pairing vibrations
• Density dependence of the pairing interaction and pairing correlation in unstable nuclei
• Atomic mass measurements of short-lived nuclides around the doubly-magic 208Pb
• Breaking of nucleon Cooper pairs at finite temperature in 93-98Mo
• The Skyrme energy functional and low lying 2+ states in Sn, Cd and Te isotopes
• Mass Number Dependence of Nuclear Pairing
• Pairing of fermions in atomic traps and nuclei
• Evidence for the pair-breaking process in 116,117Sn
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• $N=Z$ nuclei: A laboratory for neutron-proton collective mode
• Odd-even binding effect from random two-body interactions
• Semiclassical Theory of Bardeen-Cooper-Schrieffer Pairing-Gap Fluctuations
• Pairing transition of nuclei at finite temperature
• Nuclear tetrahedral configurations at spin zero
• Extraction of thermal and electromagnetic properties in 45Ti
• A structural evaluation of the tungsten isotopes via thermal neutron capture
• Odd-even staggerings on nuclear binding energy described by the covariant density functional theory
• Evolution of level density step structures from 56,57-Fe to 96,97-Mo
• Ground-state properties of even-even N=Z nuclei within the Hartree-Fock-BCS and Higher Tamm-Dancoff approaches
• Bosons and Fermions near Feshbach resonances
• Competition between isoscalar and isovector pairing correlations in N=Z nuclei
• Probing the pairing interaction through two-neutron transfer reactions
• Pairing correlations and odd-even staggering in reaction cross sections of weakly bound nuclei
• Nuclear level densities and $\gamma$-ray strength functions in ${}^{120,124}$Sn isotopes: impact of Porter-Thomas fluctuations
• Staggering behavior of 0^+ state energies in the Sp(4) pairing model
• Level density and $\gamma$-ray strength in ${}^{27,28}$Si
• Consistency of two different approaches to determine the strength of a pairing residual interaction in the rare-earth region
• Odd-even staggering in neutron drip line nuclei
• Whence the odd-even staggering in nuclear binding?
• Density-functional theory for the pairing Hamiltonian
• Quantum vortices in fermionic superfluids: from ultracold atoms to neutron stars
• Empirical pairing gaps and neutron-proton correlations
• Shell gaps and pn pairing interaction in N = Z nuclei
• Mass differences and neutron pairing in Ca, Sn and Pb isotopes
• Probing effective nucleon-nucleon interaction at band termination
• Crossovers in Unitary Fermi Systems
• Two-particle multiplets splitting as a guideline in nucleon pairing estimations
• Seniority and $(\frac{9}{2}{)}^n$ configurations in neutron-rich Nickel isotopes
• Staggering behavior of the low lying excited states of even-even nuclei in a Sp(4,R) classification scheme
• Precision mass measurements of neutron-rich nuclei between N=50 and 82
• Quantum fluctuations and stability of tetrahedral deformations in atomic nuclei
• Impact of nuclear masses on r-process nucleosynthesis: bulk properties versus shell effects
• Models for Pairing Phenomena