New effective interaction for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>0</mml:mn><mml:mi mathvariant="bold-italic">ℏ</mml:mi><mml:mi>ω</mml:mi></mml:mrow></mml:math>shell-model calculations 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:mtext>−</mml:mtext><mml:mi mathvariant="italic">pf</mml:mi></mml:mrow></mml:math>valence space

Nowacki, F.; Poves, A.

doi:10.1103/physrevc.79.014310

Cited by 225 publications

(420 citation statements)

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“…Shell model calculations involving proton-hole states in this region of nuclei are rather scarce. In the recent publication on the 49 K isotope [7], experimental results were compared with calculations by Nowacki and Poves [30] and Gaudefroy [31]. These unrestricted 0hω shellmodel calculations were carried out in the sd − pf valence space (8 ≤ Z ≤ 20, 20 ≤ N ≤ 40) with the SDPF-NR and SDPF-U interactions.…”

Section: Spin-parity Assignments and Discussion Of The Resultsmentioning

confidence: 99%

“…The monopole part of the interaction was empirically modified to provide a satisfactory description of the evolution of the effective single-particle energies across a broad region of nuclei. The SDPF-U interaction is a modified version of the SDPF-NR one and it is claimed by the authors to represent an improvement [30]. However, in Ref.…”

Section: Spin-parity Assignments and Discussion Of The Resultsmentioning

confidence: 99%

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Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Królas¹,

Broda²,

Fornal³

et al. 2011

Phys. Rev. C

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Excited states in the Z = 19, N = 29 neutron-rich 48 K isotope have been studied using deepinelastic transfer reactions with a thick target at Gammasphere and with a thin target at the PRISMA-CLARA spectrometer. The lowest excited states were located; they involve a proton hole in the s 1/2 or d 3/2 orbital coupled to a p 3/2 neutron. A new 7.1(5) ns, 5 + isomer, analog of the 7/2 − isomer in 47 K, was identified. Based on the observed γ-decay pattern of the isomer a revised spin-parity assignment of 1 − is proposed for the ground state of 48 K.

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Section: Spin-parity Assignments and Discussion Of The Resultsmentioning

confidence: 99%

Section: Spin-parity Assignments and Discussion Of The Resultsmentioning

confidence: 99%

Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Królas¹,

Broda²,

Fornal³

et al. 2011

Phys. Rev. C

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“…A good theory should therefore be able to reproduce the shift of 3 MeV of the deformed 0 + states in the Mg isotopes and the one of 4 MeV in the N=20 isotones. Concerning the Shell Model calculations, one of the available interactions for this region was the SDPF-U-SI [21] in which the valence protons are in the sd shell whereas the valence neutrons are either in the sd or the pf shells. The sd → pf neutron excitations were not considered and therefore it was not possible up to now to describe nuclei in which these excitations are important, such as in the Island of Inversion.…”

Section: Discussionmentioning

confidence: 99%

Properties of Intruder States in ³⁴Al and ³⁴Si

Rotaru¹,

Lică²,

Negoiţă³

et al. 2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

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We report on two experimental results for nuclei located in the region of the N=20 island of inversion. In the first experiment, performed at GANIL, we have discovered and studied the 0 + 2 state in 34 Si and made the hypothesis that it was fed by the beta-decay of a predicted isomeric 1 + state in 34 Al. In the second experiment, performed at ISOLDE, we have studied the beta-decay of 34 Mg in order to obtain information on the structure of 34 Al and in particular the position of the isomeric 1 + state.

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“…By substituting z l = 2(x l − g 2 )/g 1 for l = 1, · · · , k into (35)-(37), (35)-(37) become (20), (23), and (16), respectively, for which the constraints given in (33) should be used. Thus, it is shown that the results for the p = 1 and p = 2 cases obtained from the procedure proposed in this work are consistent with those obtained previously.…”

Section: Some Explicit Examplesmentioning

confidence: 99%

“…(25). Though root of (25) may be complex when k ≥ 2, without solving (25), one can evaluate the eigen-energy according to (23) from the following procedures: Summing (25) over µ, one has…”

Section: Some Explicit Examplesmentioning

confidence: 99%

Exact solution of the mean-field plus separable pairing model reexamined

et al. 2017

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Exact solution of the nuclear mean-field plus separable pairing model is reexamined. New auxiliary constraints for solving the Bethe ansatz equations of the model are proposed. By using these auxiliary constraints, the Bethe ansatz form of eigenvectors of the mean-field plus separable pairing Hamiltonian with non-degenerate single-particle energies and non-degenerate separable pairing strengths purposed previously is verified. Since the solutions of the model with one-and two-orbit cases are known, verification of the solutions for these two special cases is made. In order to demonstrate structure and features of the solution, the model with three orbits in the ds-shell is taken as a nontrivial example, of which two-pair results and the ground state of the three-pair case are provided explicitly. Since the number of equations involved increases with the number of orbits and pairs, to solve these equations for large number of orbits and pairs seems still difficult.

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New effective interaction for0ℏωshell-model calculations in thesd−pfvalence space

Cited by 225 publications

References 42 publications

Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Properties of Intruder States in ³⁴Al and ³⁴Si

Exact solution of the mean-field plus separable pairing model reexamined

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New effective interaction for0ℏωshell-model calculations in thesd−pfvalence space

Cited by 225 publications

References 42 publications

Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Coupling of the proton-hole and neutron-particle states in the neutron-rich48K isotope

Properties of Intruder States in 34Al and 34Si

Exact solution of the mean-field plus separable pairing model reexamined

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Product

Resources

About

Properties of Intruder States in ³⁴Al and ³⁴Si