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

Dobaczewski, J.; Magierski, Piotr; Nazarewicz, W.; Satuła, W.; Szymański, Z.

doi:10.1103/physrevc.63.024308

Cited by 126 publications

(139 citation statements)

References 33 publications

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“…Quite recently, however, Satu la, Dobaczewski and Nazarewicz [86] have proposed a method for separating out the pairing correlation effects from the deformed mean-field (single-particle energy) effects on the odd-even staggerings, and evaluated average pairing gaps; these are in the range 1.0 − 1.6 MeV for the mass region under consideration [87]. We note that these values agree rather well with the well-known global trend∆ = 12/ √ A MeV [88], which are in the range 1.3−1.5 MeV for A = 64 −84.…”

Section: Pairing Gapsmentioning

confidence: 99%

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

2001

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By performing fully 3D symmetry-unrestricted Skyrme-Hartree-FockBogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N = Z nuclei: 64 Ge, 68 Se, 72 Kr, 76 Sr, 80 Zr and 84 Mo. Results of calculation indicate that the oblate ground state of 68 Se is extremely soft against the Y 33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80 Zr is extremely soft against the Y 32 tetrahedral deformation.

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Section: Pairing Gapsmentioning

confidence: 99%

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

2001

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“…[6] and also used in Refs. [10,15]. For odd neutron number N , it is defined by the binding energy difference ∆ (3) o (N ) = In the following, we shall call this quantity the neutron OES.…”

Section: Introductionmentioning

confidence: 99%

Odd-even mass differences from self-consistent mean field theory

et al. 2009

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We survey odd-even nuclear binding energy staggering using density functional theory with several treatments of the pairing interaction including the BCS, Hartree-Fock-Bogoliubov, and the HartreeFock-Bogoliubov with the Lipkin-Nogami approximation. We calculate the second difference of binding energies and compare with 443 measured neutron energy differences in isotope chains and 418 measured proton energy differences in isotone chains. The particle-hole part of the energy functional is taken as the SLy4 Skyrme parametrization and the pairing part of the functional is based on a contact interaction with possible density dependence. An important feature of the data, reproduced by the theory, is the sharp gap quenching at magic numbers. With the strength of the interaction as a free parameter, the theory can reproduce the data to an rms accuracy of about 0.25 MeV. This is slightly better than a single-parameter phenomenological description but slightly poorer than the usual two-parameter phenomenological form C/A α . The following conclusions can be made about the performance of common parametrization of the pairing interaction: (i) there is a weak preference for a surface-peaked neutron-neutron pairing, which might be attributable to many-body effects; (ii) a larger strength is required in the proton pairing channel than in the neutron pairing channel; (iii) pairing strengths adjusted to the well-known spherical isotope chains are too weak to give a good overall fit to the mass differences.

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“…Also, unlike the others, this characteristic is diminished for closed-shell nuclei, which corresponds to the common expectation that the pairing at shell closure should decrease in connection with the level density reduction. It can be expected that ∆ nn (N ) includes the mean field contributions to the least extent, but it is apparently impossible to completely exclude their influence [8,10]. In Ref.…”

Section: Even-odd Staggering and Nucleon Pairingmentioning

confidence: 99%

Mass differences and neutron pairing in Ca, Sn and Pb isotopes

Ishkhanov¹,

Sidorov²,

Tretyakova³

et al. 2017

Chinese Phys. C

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Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neutron number is traced and the relationship of this characteristic to the properties of external neutron subshells is shown. In nuclei with closed proton shells, effects directly related to neutron pairing and effects of nucleon shells are discussed.Key words nucleon interaction, models of atomic nuclei, nucleon pairing in atomic nuclei

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

Cited by 126 publications

References 33 publications

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

Odd-even mass differences from self-consistent mean field theory

Mass differences and neutron pairing in Ca, Sn and Pb isotopes

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