The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts /><mml:none /><mml:mn>30</mml:mn></mml:mmultiscripts><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts /><mml:none /><mml:mn>32</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>“puzzle” reexamined

Macchiavelli, A. O.; Crawford, H. L.; Campbell, C. M.; Clark, R. M.; Cromaz, M.; Fallon, P.; Jones, Michael D.; Lee, I. Y.; Salathe, M.; Brown, B. A.; Poves, A.

doi:10.1103/physrevc.94.051303

Cited by 34 publications

(71 citation statements)

References 13 publications

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“…Although this result was obtained in an empirical analysis by a one-parameter mixing of three 0 + states and the structure of 30 Mg taken in [61] differs from the present one, it is of interest that such large probabilities were obtained in both works independently.…”

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confidence: 86%

“…After the submission of this paper, Macchiavelli et al reported [61] that the ground state of 32 Mg is dominated by 2p2h and 4p4h configurations with nearly equal probabilities. Although this result was obtained in an empirical analysis by a one-parameter mixing of three 0 + states and the structure of 30 Mg taken in [61] differs from the present one, it is of interest that such large probabilities were obtained in both works independently.…”

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confidence: 99%

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Exotic neutron-rich medium-mass nuclei with realistic nuclear forces

et al. 2017

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We present the first application of the newly developed EKK theory of the effective nucleonnucleon interaction to shell-model studies of exotic nuclei, including those where conventional approaches with fitted interactions encounter difficulties. This EKK theory enables us to derive the interaction suitable for several major shells (sd+pf in this work). By using such an effective interaction obtained from the Entem-Machleidt QCD-based χN 3 LO interaction and the Fujita-Miyazawa three-body force, the energies, E2 properties and spectroscopic factors of low-lying states of neutronrich Ne, Mg and Si isotopes are nicely described, as the first shell-model description of the "island of inversion" without fit of the interaction. The long-standing question as to how particle-hole excitations occur across the sd-pf magic gap is clarified with distinct differences from the conventional approaches. The shell evolution is shown to appear similarly to earlier studies. Introduction. -The nuclear shell model [1, 2] provides a unified and successful description of both stable and exotic nuclei, as a many-body framework which can be related directly to nuclear forces. Exotic nuclei are located far from the β-stability line on the Segrè chart, exhibiting very short life times, mainly due to an unbalanced ratio of proton (Z) and neutron (N ) numbers. Exotic nuclei differ remarkably in some other aspects from their stable counterparts, providing us with new insights in understanding atomic nuclei and nuclear forces [3][4][5]. As experimental data on exotic nuclei are, in general, less abundant compared to stable nuclei, theoretical calculations, interpretations and predictions play an ever increasing role.Shell-model (SM) calculations handle the nuclear forces in terms of two-body matrix elements (TBMEs). In the early days, TBMEs were empirically determined in order to reproduce certain observables. A well-known example is the effective interaction for p-shell nuclei by Cohen and Kurath [6]. A breakthrough towards more microscopically-derived TBMEs was achieved by Kuo and Brown for sd-shell nuclei [7]. Although basic features of the nucleon-nucleon (N N ) force for the SM calculation are included in these effective interactions, empirical adjustments of TBMEs were needed in order to reproduce various observables [8][9][10].These effective interactions were all derived for a Hilbert space represented by the degrees of freedom of one major (oscillator) shell. As we move towards ex-

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Exotic neutron-rich medium-mass nuclei with realistic nuclear forces

et al. 2017

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“…In our studies of neutron-rich Ne, Mg and Si isotopes, we have performed calculations in sd space. As it is well known that excitation to pf -shell is very important for nuclei which belong to "island of inversion" [8], thus, we have also performed calculations in sd-pf shell.…”

Section: Formalismmentioning

confidence: 99%

Ab initio description of collectivity for sd shell nuclei

Saxena

Kumar

et al. 2019

Hyperfine Interact

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In the present work, we have reported shell model results for open shell nuclei Ne, Mg and Si isotopes with 10 ≤ N ≤ 20 in sd-shell model space. We have performed calculations in sd shell with two ab initio approaches: in-medium similarity renormalization group (IM-SRG) and coupledcluster (CC) theory. We have also performed calculations with phenomenological USDB interaction and chiral effective field theory based CEFT interaction. The results for rotational spectra and B(E2; 2 + 1 → 0 + 1 ) transitions are reported for even-mass isotopes. The IM-SRG and CC results are in reasonable agreement with the experimental data except at N =20. This demonstrates a validity of ab initio description of deformation for doubly open-shell nuclei for sd shell. To see the importance of pf orbitals, we have also compared our results with SDPF-MU interaction by taking account of 2p − 2h and 4p − 4h configurations in sd-pf -shell model space.

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“…The island of inversion at N = 20 has been the subject of intense theoretical works (see [2] and references therein, [14][15][16]). The shell-model calculations with the effective nucleon-nucleon interaction obtained from the extended Kuo-Krenciglowa theory [16] took into account the tensor and three-nucleon forces (3NF).…”

Section: Calculation Resultsmentioning

confidence: 99%

“…The N = 20 isotones with Z ≤ 12 are near or in the so called island of inversion [12] where the admixture of intruder f p states is essential, and the ordering of the intruder and normal configurations is inverted. A lot of experimental and theoretical efforts were devoted to clarify the underlying physics of the island of inversion (see [2] and references therein, [7,[13][14][15][16]). The experimental observation of J π = 15 negative-parity states gave support to the collapse of the N = 20 gap and the inversion between the neutron 1f 7/2 and 1p 3/2 levels below Z = 12 [13].…”

Section: Introductionmentioning

confidence: 99%

Single-particle structure of the N = 20, 28 isotones within the dispersive optical model

Беспалова

Klimochkina

2019

Eur. Phys. J. A

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The neutron single-particle characteristics of the N = 20, 28 isotones at 8 < Z < 30 was calculated within the dispersive optical model. The global parameters of the spin-orbit and imaginary parts of the potential as well as surface absorption independent on neutron-proton asymmetry and increased diffuseness at large neutron excess were used in the calculations.. The suitability of the global parameters to predict the evolution of the neutron single-particle structure of nuclei near the neutron drip line was investigated. The following results are in agreement with the available experimental data: the reduction of the particle-hole energy gaps, the degeneration of the 1f 7/2 and 2p states and then a change in the 1f 7/2 , 2p 3/2 level sequence and more rapid reduction of the 2p-splitting in comparison with the 1f -splitting with decreasing Z. The predictive power of the dispersive optical model with respect to neutron-rich nuclei is demonstrated.PACS. 21.10Pc Single-particle levels and strength functions -24.10Ht Optical and diffraction models

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TheMg30(t,p)Mg32“puzzle” reexamined

Cited by 34 publications

References 13 publications

Exotic neutron-rich medium-mass nuclei with realistic nuclear forces

Exotic neutron-rich medium-mass nuclei with realistic nuclear forces

Ab initio description of collectivity for sd shell nuclei

Single-particle structure of the N = 20, 28 isotones within the dispersive optical model

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