Particle stability of the isotopes<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>26</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Ne</mml:mi></mml:mrow><mml:mpres

Guillemaud‐Mueller, D.; Jacmart, J.C.; Kashy, E.; Latimier, A.; Mueller, A. C.; Pougheon, F.; Richard, A.; Penionzhkevich, Yu. É.; Artuhk, A. G.; Belozyorov, A. V.; Lukyanov, S. M.; Anne, R.; Bricault, P.; Détraz, C.; Lewitowicz, M.; Zhang, Y.; Lyutostansky, Yu. S.; Zverev, M. V.; Bazin, D.; Schmidt‐Ott, W. D.

doi:10.1103/physrevc.41.937

Cited by 135 publications

(80 citation statements)

References 21 publications

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“…If we rely on the shell closure at N = 16, the pairing correlations will hardly change the energy of 24 O, while they lower the energies of 22 O and 26 O to a certain extent. Thus the pairing effects are expected to give lower S 2n at 24 O and higher S 2n at 26 O than the present HF values, if we perform a Hartree-Fock-Bogolyubov calculation.…”

Section: Case Of Finite-range Interactionmentioning

confidence: 99%

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A method of implementing Hartree–Fock calculations with zero- and finite-range interactions

Nakada

Sato

2002

Nuclear Physics A

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We develop a new method of implementing the Hartree-Fock calculations. A class of Gaussian bases is assumed, which includes the Kamimura-Gauss basis-set as well as the set equivalent to the harmonic-oscillator basis-set. By using the Fourier transformation to calculate the interaction matrix elements, we can treat various interactions in a unified manner, including finite-range ones. The present method is numerically applied to the spherically-symmetric Hartree-Fock calculations for the oxygen isotopes with the Skyrme and the Gogny interactions, by adopting the harmonic-oscillator, the Kamimura-Gauss and a hybrid basis-sets. The characters of the basis-sets are discussed. Adaptable to slowly decreasing density distribution, the Kamimura-Gauss set is suitable to describe unstable nuclei. A hybrid basis-set of the harmonic-oscillator and the Kamimura-Gauss ones is useful to accelerate the convergence, both for stable and unstable nuclei.

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Section: Case Of Finite-range Interactionmentioning

confidence: 99%

“…energies in 16−22 O is an effect of the occupation of 0d 5/2 , changes in the s.p. energies from 22 O to 24 O and from 24 O to 28 O are connected to the 1s 1/2 and 0d 3/2 occupation. It was argued based on the recent experimental data [20] that N = 16 becomes a magic number in the neutron-rich region.…”

Section: Case Of Finite-range Interactionmentioning

confidence: 99%

A method of implementing Hartree–Fock calculations with zero- and finite-range interactions

Nakada

Sato

2002

Nuclear Physics A

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“…Inversely, this effect diminishes towards Z = 8, ending up with a rather narrow N = 20 gap and a wider N = 16 gap. This shell evolution leads us to the oxygen drip line at N =16 [16][17][18][19] as a result of emerging N = 16 magic number [20]. The monopole part of the SDPF-M interaction was modified from that of the USD interaction so as to reproduce the oxygen drip line [11], while the resultant monopole part is closer to the G-matrix result as emphasized in Ref.…”

Section: Outline Of the Shell Model Calculationmentioning

confidence: 99%

Onset of intruder ground state in exoticNaisotopes and evolution of theN=20shell gap

et al. 2004

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The onset of intruder ground states in Na isotopes is investigated by comparing experimental data and shell-model calculations. This onset is one of the consequences of the disappearance of the N = 20 magic structure, and the Na isotopes are shown to play a special role in clarifying the change of this magic structure. Both the electromagnetic moments and the energy levels clearly indicate an onset of ground state intruder configurations at neutron number N = 19 already, which arises only with a narrow N = 20 shell gap in Na isotopes resulting from the spin-isospin dependence of the nucleon-nucleon interaction (as compared to a wider gap in stable nuclei like 40 Ca). It is shown why the previous report based on the mass led to a wrong conclusion.

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“…The neutron drip line is only confirmed at present up to Z = 8 ( 24 O 16 ) through years of work at projectile fragmentation facilities in France [7,8], the US [9] and Japan [10]. The neutron drip line has been found to rapidly shift to higher neutron numbers at Z = 9, i.e., 31 F 22 has been observed several times [11,12,13].…”

mentioning

confidence: 99%

Evidence for a Change in the Nuclear Mass Surface with the Discovery of the Most Neutron-Rich Nuclei with17≤Z≤25

et al. 2009

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Particle stability of the isotopesO26andNe

Cited by 135 publications

References 21 publications

A method of implementing Hartree–Fock calculations with zero- and finite-range interactions

A method of implementing Hartree–Fock calculations with zero- and finite-range interactions

Onset of intruder ground state in exoticNaisotopes and evolution of theN=20shell gap

Evidence for a Change in the Nuclear Mass Surface with the Discovery of the Most Neutron-Rich Nuclei with17≤Z≤25

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