Many-body approximations in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="italic">sd</mml:mi></mml:mrow></mml:math>-shell “sandbox”

Sen'kov, R. A.; Bertsch, G. F.; Brown, B. A.; Luo, Yuan-Lung; Zelevinsky, V. G.

doi:10.1103/physrevc.78.044304

Cited by 5 publications

(2 citation statements)

References 20 publications

(18 reference statements)

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“…Unfortunately, the LN treatment of number violation is not reliable near closed shells. We would therefore advocate in future using other treatments of number violation, perhaps HFB with variation-after-projection [33], or mapping onto an exactly soluble pairing Hamiltonian [61].…”

Section: Perspectivementioning

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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Section: Perspectivementioning

confidence: 99%

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

et al. 2009

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“…In Refs. [2,5,9,10] the contributions from the isoscalar and isovector neutronproton interactions to the Wigner energy were studied in the framework of the nuclear shell model. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Wigner energy and nuclear mass relations

2015

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In this paper we construct an approach to extract the Wigner energy [B w by using local mass relations, in the first-order approximation. We obtain W (A) = (42.7 ± 1.2)/A MeV, d(A) = (28.7 ± 1.5)/A MeV. By using the Wigner energies such obtained as well as empirical pairing and symmetry energies, the resultant binding-energy difference between the lowest T = 0 and T = 1 states of odd-odd N = Z nuclei is in good agreement with experimental data.

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Pairing and shell gaps in nuclei

Brown

2013

J. Phys.: Conf. Ser.

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Many-body approximations in thesd-shell “sandbox”

Cited by 5 publications

References 20 publications

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

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

Wigner energy and nuclear mass relations

Pairing and shell gaps in nuclei

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