Beyond-mean-field study of the possible “bubble” structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>34</mml:mn></mml:msup></mml:math>Si

Yao, J. M.; Baroni, Simone; Bender, M.; Heenen, Paul‐Henri

doi:10.1103/physrevc.86.014310

Cited by 55 publications

(91 citation statements)

References 70 publications

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“…The isovector contribution is, of course, also responsible for the difference between the effective proton and neutron single-particle potentials, while the radial (density) profiles depend on the shell structure of occupied orbitals in the self-consistent solution for a particular nucleus. In this respect, especially interesting is the case of 34 Si, for which a possible central depletion of the proton density distribution has been analysed using a variety of theoretical approaches [26,27], and experimental constraints on the strength of the two-body spin-orbit interaction have been reported [15,28]. For the effective interaction DD-MEδ that explicitly includes contributions from both ρ and δ meson exchange in the direct term, the isovector channel of the spin-orbit potential is enhanced when compared to DD-ME2, although in both models the total isovector part of the spin-orbit potential is an order of magnitude weaker than the isoscalar contribution [20].…”

Section: Resultsmentioning

confidence: 99%

Spin-orbit interaction in relativistic nuclear structure models

et al. 2016

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Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas non-relativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit potential. Recent experimental studies aim to explore the isospin properties of the effective spin-orbit interaction in nuclei. SCMF models are very useful in the interpretation of the corresponding data, however standard relativistic mean-field and nonrelativistic Hartree-Fock models use effective spin-orbit potentials with different isovector properties, mainly because exchange contributions are not treated explicitly in the former. The impact of exchange terms on the effective spin-orbit potential in relativistic mean-field models is analysed, and it is shown that it leads to an isovector structure similar to the one used in standard non-relativistic Hartree-Fock. Data on the isospin dependence of spin-orbit splittings in spherical nuclei could be used to constrain the isovector-scalar channel of relativistic mean-field models. The reproduction of the empirical kink in the isotope shifts of even Pb nuclei by relativistic effective interactions points to the occurrence of pseudospin symmetry in the single-neutron spectra in these nuclei.

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Section: Resultsmentioning

confidence: 99%

Spin-orbit interaction in relativistic nuclear structure models

et al. 2016

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“…Although it has been difficult to measure charge densities at the center of unstable nuclei, the new technology such as SCRIT [19] could open a way to observe such proton bubble structure. It is noted that correlations beyond MF tend to quench the bubble, as shown for 34 Si by a recent study using the generator-coordinate method (GCM) [20]. Since the wave function of the GCM ground state was found spread over a wide range of intrinsic deformations, it was shown that the level occupation was smeared over the Fermi energy and the p1s 1/2 orbital was partially occupied.…”

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confidence: 88%

“…These correlations reduce the depletion of the proton density. However, the transition strengths ρ 2 (E0; 0 [20] compared to the experimental value [21]. This discrepancy might indicate that the two lowest 0 + GCM states are too strongly mixed in the calculations of Ref.…”

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confidence: 89%

Tensor-force effects on single-particle levels and proton bubble structure around theZorN=20magic number

2013

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Applying the semi-realistic N N interactions that include realistic tensor force to the Hartree-Fock calculations, we investigate tensor-force effects on the single-particle levels in the Ca isotopes. The semi-realistic interaction successfully describes the experimental difference between ε(p1s 1/2 ) and ε(p0d 3/2 ) (denoted by ∆ε13) both at 40 Ca and 48 Ca, confirming importance of the tensor force. The tensor force plays a role in the N -dependence of ∆ε13 also in neutron-rich Ca nuclei. While the p1s 1/2 -p0d 3/2 inversion is predicted in heavier Ca nuclei as in 48 Ca, it takes place only in N ≥ 46, delayed by the tensor force. We further investigate possibility of proton bubble structure in Ar, which is suggested by the p1s 1/2 -p0d 3/2 inversion in 48 Ca and more neutron-rich Ca nuclei, by the spherical Hartree-Fock-Bogolyubov calculations. Even with the inversion at 48 Ca the pair correlation prohibits prominent bubble distribution in 46 Ar. Bubble in Ar is unlikely also near neutron drip line because either of unboundness or of deformation. However, 34 Si remains a candidate for proton bubble structure, owing to large shell gap between p1s 1/2 and p0d 5/2 .PACS numbers: 21.10. Pc, 21.10.Ft, 21.60.Jz, 27.40.+z, 27.30.+t Introduction. Owing to the progress in experiments on unstable nuclei, it has been recognized [1] that the nuclear shell structure depends on Z or N as often called shell evolution. Moreover, it is now known [2-4] that the tensor force, which should be contained in the nucleonnucleon (N N ) interaction, plays a crucial role in the shell evolution. While the tensor force had been ignored in the conventional mean-field (MF) or the energy-densityfunctional (EDF) approaches, there have been several attempts to incorporate the tensor force into those approaches; e.g. the calculations with the Skyrme [5][6][7][8] or the Gogny [9, 10] interactions. However, without wellestablished strengths and/or radial-dependence of the tensor force, it is not straightforward to pin down tensorforce effects quantitatively from those interactions. One of the authors (H.N.) has developed the so-called semirealistic N N interactions [11], which is applicable to the self-consistent MF calculations. The recent parametersets, M3Y-Pn with n ≥ 5 [3,4,12], include the tensor force originating from the G-matrix at the nuclear surface. Because of the realistic nature of the tensor force in them, these semi-realistic interactions are suitable to investigate the tensor-force effects on the shell evolution.

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“…Theoretically, a (semi-)bubble structure can exist in many nuclei, ranging from intermediatemass isotopes to hyperheavy systems, including 34 Si [9][10][11], 44 S [12], 46 Ar [12,13], neutron-rich Ar isotopes around 68 Ar [13], 36 Ar and Hg isotopes [3][4][5], superheavy and hyperheavy isotopes [14][15][16][17], etc. Some of these candidates, such as 36 Ar and Hg isotopes, have been ruled out by experiments [18]. However, other candidates are still standing.…”

Section: Introductionmentioning

confidence: 99%

“…A. Wheeler [2] prior to 1950s. The bubble structure is one of the simplest but widely discussed topology structure in history [3][4][5][6][7][8], and it is still a hot topic both theoretically and experimentally in recent years [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. However, a bubble structure is not expected to exist in nuclei because the nature of nucleon-nucleon interaction will lead to a saturation density (ρ sat ∼ 0.16 fm −3 ) at the center of nucleus.…”

Section: Introductionmentioning

confidence: 99%