Nonempirical Interactions for the Nuclear Shell Model: An Update

Stroberg, S. R.; Bogner, S. K.; Hergert, H.; Holt, J. D.

doi:10.1146/annurev-nucl-101917-021120

Cited by 222 publications

(237 citation statements)

References 294 publications

(529 reference statements)

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“…A relatively healthy N = 28 gap is attested by the high lying E (2 + 1 ) excitation energy [16,22], which is one of the major indicators of a closed shell. The level scheme proposed for 45 Ar in [9] was also found to be well described in a singleparticle picture with little collectivity. Likewise, investigations of neutron-rich argon isotopes via neutron knockout reactions [23] portray 46 Ar as a seemingly "good" semimagic nuclide with a low observed cross section to the 3/2 − state in 45 Ar.…”

Section: Introductionmentioning

confidence: 83%

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

et al. 2020

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The strength of the N = 28 magic number in neutron-rich argon isotopes is examined through high-precision mass measurements of 46-48 Ar, performed with the ISOLTRAP mass spectrometer at ISOLDE/CERN. The new mass values are up to 90 times more precise than previous measurements. While they suggest the persistence of the N = 28 shell closure for argon, we show that this conclusion has to be nuanced in light of the wealth of spectroscopic data and theoretical investigations performed with the SDPF-U phenomenological shell model interaction. Our results are also compared with ab initio calculations using the valence space in-medium similarity renormalization group and the self-consistent Green's function approaches. Both calculations provide a very good account of mass systematics at and around Z = 18 and, generally, a consistent description of the physics in this region. This combined analysis indicates that 46 Ar is the transition between the closed-shell 48 Ca and collective 44 S.

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Section: Introductionmentioning

confidence: 83%

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

et al. 2020

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“…We exploit all mass-measurement techniques of the ISOLTRAP spectrometer, including the phase-imaging ion-cyclotron-resonance (PI-ICR) method [24][25][26]. The data are interpreted in comparison to the large-scale shell model and to new calculations made with a beyond-mean-field (BMF) approach [27,28], as well as the ab initio valence-space in-medium similarity renormalization group (VS-IMSRG) [12,[29][30][31][32][33].The cadmium isotopes were produced at CERN's arXiv:2001.05075v2 [nucl-ex]…”

mentioning

confidence: 99%

“…For details on the VS-IMSRG decoupling to derive the valence-space Hamiltonian, we refer to Refs. [12,[29][30][31][32][33]. When this ab initio valence-space Hamiltonian is diagonalized (here with the shell-model code ANTOINE [8]) some subset of eigenvalues of the full Hamiltonian should be reproduced when no IMSRG approximations are made.…”

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confidence: 99%

First Glimpse of the N=82 Shell Closure below Z=50 from Masses of Neutron-Rich Cadmium Isotopes and Isomers

et al. 2020

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We probe the N = 82 nuclear shell closure by mass measurements of neutron-rich cadmium isotopes with the ISOLTRAP spectrometer at ISOLDE-CERN. The new mass of 132 Cd offers the first value of the N = 82, two-neutron shell gap below Z = 50 and confirms the phenomenon of mutually enhanced magicity at 132 Sn. Using the recently implemented phase-imaging ion-cyclotronresonance method, the ordering of the low-lying isomers in 129 Cd and their energies are determined. The new experimental findings are used to test large-scale shell-model, mean-field and beyondmean-field calculations, as well as the ab initio valence-space in-medium similarity renormalization group.The so-called magic numbers of protons and neutrons are associated with large energy gaps in the effective single-particle spectrum of the nuclear mean field [1], revealing shell closures. As such, they are intimately connected to the nuclear interaction and represent essential benchmarks for nuclear models.Experiments with light radioactive beams have shown that shell closures at N = 8, 20 and 28 are substantially weakened when the number of protons in the nuclear system is reduced (see [2, 3] for a review). New, but weaker shell closures have also been found, e.g., N = 32 and 34 [4][5][6][7]. In the shell model, this evolution results from the interplay between the monopole part of the valencespace nucleon-nucleon interaction that determines the single-particle spectrum and multipole forces that induce correlations [8]. Starting from realistic nuclear forces, the study of closed-shell nuclei provides benchmarks for microscopic calculations of valence-space Hamiltonians, with their many-body contributions [9][10][11][12][13]. Despite extensive work, significantly less is known for heavier nuclei, in particular for the magic N = 82.The doubly magic nature of 132 Sn (with 50 protons and 82 neutrons) was reconfirmed recently [14,15]. But below Z = 50 the orbitals occupied by the Fermi-level protons change, as does the proton-neutron interaction, which drives shell evolution. This means that without data for nuclides with Z < 50 and N ≈ 82, any predictions for the N = 82 shell gap are rather uncertain. While decayspectroscopy [16][17][18], laser-spectroscopy [19] and massspectrometry [20,21] studies have been performed for the neutron-rich cadmium isotopes, the energies of the low-lying isomers in 129 Cd and the N = 82 two-neutron shell gap remain unknown.The A ≈ 130 r-process abundance peak has long been considered an indication of a persistent N = 82 shell gap in various models. However, recent studies of r-process nucleosynthesis have underlined the importance of fission recycling in certain scenarios, in which the A = 130 abundance peak is primarily determined by the fissionfragment distribution of r-process actinides [22,23].In this work, we present the first direct determination of the N = 82 shell gap for Z < 50 with mass measurements of exotic cadmium isotopes and isomers between 124 Cd and 132 Cd. We exploit all mass-measurement techniques of the ISOLTR...

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“…In recent years, chiral EFT interactions have been combined with ab initio approaches that consider all nucleons in the solution of the nuclear many-body problem in studies of midmass nuclei up to tin [7][8][9][10][11][12]. Theoretical results are typically compared to the simplest experimental observables, namely, binding and excitation energies.…”

mentioning

confidence: 99%

“…Second, we performed ab initio calculations with the VS-IMSRG [8,12,[61][62][63], based on the NN + 3N interaction labeled EM1.8/2.0 in Ref. [64].…”

mentioning

confidence: 99%

Testing ab initio nuclear structure in neutron-rich nuclei: Lifetime measurements of second 2+ state in C16 and
Ciemała¹,
Ziliani²,
Crespi³
et al. 2020
Phys. Rev. C
19
1
11
0
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Nonempirical Interactions for the Nuclear Shell Model: An Update

Cited by 222 publications

References 294 publications

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

First Glimpse of the N=82 Shell Closure below Z=50 from Masses of Neutron-Rich Cadmium Isotopes and Isomers

Testing ab initio nuclear structure in neutron-rich nuclei: Lifetime measurements of second 2+ state in C16 and
Ciemała¹,
Ziliani²,
Crespi³
et al. 2020
Phys. Rev. C
19
1
11
0
View full text Add to dashboard Cite

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Nonempirical Interactions for the Nuclear Shell Model: An Update

Cited by 222 publications

References 294 publications

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

Examining the N=28 shell closure through high-precision mass measurements of Ar46–48

First Glimpse of the N=82 Shell Closure below Z=50 from Masses of Neutron-Rich Cadmium Isotopes and Isomers

Testing ab initio nuclear structure in neutron-rich nuclei: Lifetime measurements of second 2+ state in C16 and Ciemała1, Ziliani2, Crespi3 et al. 2020Phys. Rev. C191110View full textAdd to dashboardCite

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Testing ab initio nuclear structure in neutron-rich nuclei: Lifetime measurements of second 2+ state in C16 and
Ciemała¹,
Ziliani²,
Crespi³
et al. 2020
Phys. Rev. C
19
1
11
0
View full text Add to dashboard Cite