Bonn potential and shell-model calculations for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>6</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>5</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:math>

Coraggio, L.; Covello, A.; Gargano, A.; Itaco, N.; Kuo, T.T.S.

doi:10.1103/physrevc.58.3346

Cited by 21 publications

(20 citation statements)

References 24 publications

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“…For the N = 126 isotones, however, the present choice is more appropriate. In fact, these calculations as well as those for lead isotopes [14,21] have led to a substantially better agreement with experiment when in the derivation of the effective interaction n 2 has been increased from two to three shells above the n 1 -th orbit.…”

Section: Outline Of Calculationsmentioning

confidence: 76%

“…These calculations, as well as the previous ones on neutron hole Pb isotopes [14,21], are the first in the 208 Pb region where a modern realistic interaction has been used. As already mentioned in the Introduction, the first attempt to employ in this region effective interactions derived from the free nucleon-nucleon potential dates back to the early 70s [17].…”

Section: Discussionmentioning

confidence: 91%

“…The remarkably good agreement between theory and experiment obtained for these nuclei has challenged us to perform the same kind of realistic shell-model calculations for heavy-mass nuclei. In a previous work [14] we considered the neutron hole isotopes 206,205,204 Pb. Here, we present the results of a companion study of the N = 126 isotones, focusing attention on 210 Po, 211 At, and 212 Rn.…”

Section: Introductionmentioning

confidence: 99%

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Bonn potential and shell-model calculations forN=126isotones

et al. 1999

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We have performed shell-model calculations for the N = 126 isotones 210 Po, 211 At, and 212 Rn using a realistic effective interaction derived from the Bonn A nucleon-nucleon potential by means of a G-matrix folded-diagram method. The calculated binding energies, energy spectra and electromagnetic properties show remarkably good agreement with the experimental data. The results of this paper complement those of our previous study on neutron hole Pb isotopes, confirming that realistic effective interactions are now able to reproduce with quantitative accuracy the spectroscopic properties of complex nuclei.

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Section: Outline Of Calculationsmentioning

confidence: 76%

Section: Discussionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

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Bonn potential and shell-model calculations forN=126isotones

et al. 1999

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“…The study of those mid-shell nuclei was far beyond the reach of shell-model calculations. Actually, only nuclei around 208 Pb with a few valence particles (holes) were considered in most existing shell-model calculations for Pb isotopes [49][50][51][52] and approximation methods have to be employed in other cases. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Large-scale shell-model calculations on the spectroscopy ofN<126Pb isotopes

Jia

2016

Phys. Rev. C

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Large-scale shell-model calculations are carried out in the model space including neutron-hole orbitals 2p 1/2 , 1f 5/2 , 2p 3/2 , 0i 13/2 , 1f 7/2 and 0h 9/2 to study the structure and electromagnetic properties of neutron deficient Pb isotopes. An optimized effective interaction is used. Good agreement between full shell-model calculations and experimental data is obtained for the spherical states in isotopes 194−206 Pb. The lighter isotopes are calculated with an importance-truncation approach constructed based on the monopole Hamiltonian. The full shell-model results also agree well with our generalized seniority and nucleon-pair-approximation truncation calculations. The deviations between theory and experiment concerning the excitation energies and electromagnetic properties of low-lying 0 + and 2 + excited states and isomeric states may provide a constraint on our understanding of nuclear deformation and intruder configuration in this region.

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“…One has to solve the full MBSE numerically in as exact a way as possible using techniques such as Variational Monte-Carlo [6], Green's Function Monte Carlo [7], the coupled-cluster method [8,9], and the Fermion Hyper-netted chain model [10]. Using effective interactions derived from realistic potentials, no-core shell-model calculations have been made in light nuclei [11] and heavier nuclei close to closed shells have been treated [13].…”

Section: Introductionmentioning

confidence: 99%

Many-body perturbation calculation of spherical nuclei with a separable monopole interaction

2001

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We present calculations of ground state properties of spherical, doubly closed-shell nuclei from 16 O to 208 Pb employing the techniques of many-body perturbation theory using a separable density dependent monopole interaction. The model gives results in Hartree-Fock order which are of similar quality to other effective density-dependent interactions. In addition, second and third order perturbation corrections to the binding energy are calculated and are found to contribute small, but non-negligible corrections beyond the mean-field result. The perturbation series converges quickly, suggesting that this method may be used to calculate fully correlated wavefunctions with only second or third order perturbation theory. We discuss the quality of the results and suggest possible methods of improvement.

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Bonn potential and shell-model calculations for206,205,204Pb

Cited by 21 publications

References 24 publications

Bonn potential and shell-model calculations forN=126isotones

Bonn potential and shell-model calculations forN=126isotones

Large-scale shell-model calculations on the spectroscopy ofN<126Pb isotopes

Many-body perturbation calculation of spherical nuclei with a separable monopole interaction

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