A valence space solution to the B(E2) saturation problem in deformed nuclei

Casten, R. F.; Heyde, K.; Wolf, A.

doi:10.1016/0370-2693(88)91198-7

Cited by 46 publications

(30 citation statements)

References 24 publications

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“…The magic numbers 2,8,20,28,50,82, and 126 are indicators of the shell structure of nuclei. If a nucleus has a magic number of either protons or neutrons then discontinuities will be observed in two-particle separation energies at such systems.…”

Section: Introductionmentioning

confidence: 99%

“…While one might not expect to see a discontinuity in observables across this midshell point, it has been demonstrated that the product of proton and neutron valence particles or holes N p N n outside closed shells correlates monotonically with various collective properties of nuclei, such as the energy of the first 2 + excited state in even-even nuclei, the energy ratio of the first 4 + to the first 2 + state and the B͑E2:0 1 + →2 1 + ͒ [1]. On the other hand, saturation of B͑E2͒ values is known to occur with slightly fewer particles than at the midshell for rare-earth nuclei [2], due to microscopic effects beyond the remit of the N p N n scheme.…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent description of dysprosium isotopes in the doubly midshell region

et al. 2003

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Ground-state deformations, binding energies, and potential energy surfaces have been calculated for eveneven dysprosium isotopes between 160 Dy and 180 Dy in the framework of density-dependent Hartree-Fock calculations with BCS pairing correlations. Further deformed Hartree-Fock with angular-momentum projection and band-mixing calculations explore the yrast spectra of the nuclides approaching the neutron midshell. Predictions of high-K states in the doubly midshell nucleus 66 170 Dy 104 are made.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-consistent description of dysprosium isotopes in the doubly midshell region

et al. 2003

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“…Physically, in a Nilssoh context, for example, this behavior is seen in the large quadrupole moments characteristic of the strongly downsloping orbits near the beginning of a shell, or the strongly upsloping orbits near the end, in contrast the flat trajectories for orbits near mid-shell which have very small quadrupole moments. This decrease in quadrupole p-n interaction is mirrored 18 in the data for B(E2:0^-»2i) values which increase as the deformed region in each shell is traversed, but saturate near mid-shell. If we assume that the dominant components of the p-n interaction are the monopole and quadrupole, and that the quadrupole component vanishes near mid-shell, then the asymptotically flat range of 5V pn values in fig.…”

Section: Empirical Residual P-n Interactionsmentioning

confidence: 56%

“…Clearly, this calculation does not at all reproduce the data. On the middle left, the T=0 strength is set at twice the T=l strength, a value not atypical of relative interaction strengths needed to fit excitation energy spectra of pairs of nuclei such as 18 F and 18 O although it is a little larger than commonly used. In any case, it is clear that even such a simple shell model calculation as this reproduces the observed singularities at N=Z.…”

Section: Empirical Residual P-n Interactionsmentioning

confidence: 99%

“…The two middle panels illustrate an extremely simple approach in which a surface 5 interaction (SDI) is used in the sd shell to calculate binding energies and to obtain theoretical values for 5V pn for different values of the T=0 and T=l components of the p-n interaction. On the middle right, a realistic strength for the T=l interaction, taken from spectia such as those of 18 O, is used while the T=0 interaction strength is set to zero. Clearly, this calculation does not at all reproduce the data.…”

Section: Empirical Residual P-n Interactionsmentioning

confidence: 99%

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The empirical residual proton-neutron interaction and the onset of collectivity in nuclei

Casten¹

1992

AIP Conference Proceedings

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DISCLAIMERThis report was prepared as an account of work sponsored by an agency of the United States Gover-icni. Neither the United States Government nor any agency thereof, nor any of their empljy . a , ->akes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof. MASTER DISTRIBUTION OF THIS OOCWflHJT IS UNLIMITED THE EMPIRICAL RESIDUAL PROTON-NEUTRON INTERACTION AND THE ONSET OF COLLECTIVITY IN NUCLEIRichard F. Casten Brookhaven National Laboratory, Upton, New York, 11973, USA ABSTRACTThe critical role of the residual valence p-n interaction in the development and evolution of collectivity, and the onset of shape/phase transitions, is discussed from the standpoint of phenomenological approaches, the empirical extraction of individual p-n interaction strengths, and simple model calculations of them.

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