Generalized Seniority and the Surface Delta Interaction

Arvieu, R.; Moszkowski, S. A.

doi:10.1103/physrev.145.830

Cited by 133 publications

(47 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For off-diagonal matrix elements with p ~ q or n+m, there is no such direct information. In [13] it was concluded that a proton-neutron interaction with short range, for example the surface-delta interaction (SDI) [20] with strength parameters …”

Section: The Hamiltonianmentioning

confidence: 99%

Correlated-pair structure in nuclei and possible relation to IBM-2

et al. 1983

View full text Add to dashboard Cite

The broken-pair model is used to study the nature of collective pair structure in even nuclei and a possible connection with the interacting-boson model IBM-2. In our selfconsistent treatment there is no particle-hole ambiguity, such as has been reported in recent literature. We find that about four particles away from a closed shell, for both protons and neutrons, the collective 2 + (D-pair) structure becomes roughly independent of mass number due to the proton-neutron force. Only near the closed shell pronounced fermion configurations show up. The same is true for the 3-(F-pair). In lighter nuclei, the 20

show abstract

Section: The Hamiltonianmentioning

confidence: 99%

Correlated-pair structure in nuclei and possible relation to IBM-2

et al. 1983

View full text Add to dashboard Cite

show abstract

“…1 Equations (7), (9), (11), (12), (13) correspond to eqs. (11.10), (11.16), (11.38), (11.11), (11.39) of ref.…”

Section: Surface δ-Interactionmentioning

confidence: 99%

“…(9)), the corresponding experimental values are given by (16) by using eqs. (10), (12). for the power law function A −f (eqs.…”

Section: Example For the Multiplet Splittingmentioning

confidence: 99%

See 1 more Smart Citation

Mass dependence of the surface δ-interaction strength for two-particle (two-hole) multiplets

Heusler

Brentano

2008

Eur. Phys. J. A

View full text Add to dashboard Cite

Abstract. By using the surface δ-interaction, the lowest states in nuclei of atomic mass number 6 ≤ A ≤ 210 with a doubly magic core and two valence nucleons are investigated. A single parameter describes the strength of the multiplet splitting of the lowest configuration which includes the ground state. The dependence of the strength on the atomic mass number of the doubly magic core is determined as a power law function A −f with an exponent f =

show abstract

“…The results obtained with the SDI are very remarkable in view of the simplicity of the model. Initially the SDI was used for heavy nuclei by M.)szkowski et al 15,16). Application of this interaction to light and medium-weight nuclei t7, 18) showed some systematic deviation that could be avoided by adding two terms that produce an extra energy shift between T = 0 and T = 1 states.…”

Section: Introductionmentioning

confidence: 99%