dorsal/arxiv
View SchemaStaggering behavior of 0^+ state energies in the Sp(4) pairing model
| Authors | K. D. Sviratcheva, A. I. Georgieva, J. P. Draayer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407086 |
| URL | https://arxiv.org/abs/nucl-th/0407086 |
| DOI | 10.1103/PhysRevC.69.024313 |
| Journal | Phys.Rev.C69:024313,2004 |
Abstract
We explore, within the framework of an algebraic sp(4) shell model, discrete approximations to various derivatives of the energies of the lowest isovector-paired 0^+ states of atomic nuclei in the 40 <A < 100 mass range. The results show that the symplectic model can be used to successfully interpret fine structure effects driven by the proton-neutron (pn) and like-particle isovector pairing interactions as well as interactions with higher J multipolarity. A finite energy difference technique is used to investigate two-proton and two-neutron separation energies, observed irregularities found around the N=Z region, and the like-particle and pn isovector pairing gaps. A prominent staggering behavior is observed between groups of even-even and odd-odd nuclides. An oscillation, in addition to that associated with changes in isospin values, that tracks with alternating seniority quantum numbers related to the isovector pairing interaction is also found.
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"abstract": "We explore, within the framework of an algebraic sp(4) shell model, discrete\napproximations to various derivatives of the energies of the lowest\nisovector-paired 0^+ states of atomic nuclei in the 40 \u003cA \u003c 100 mass range. The\nresults show that the symplectic model can be used to successfully interpret\nfine structure effects driven by the proton-neutron (pn) and like-particle\nisovector pairing interactions as well as interactions with higher J\nmultipolarity. A finite energy difference technique is used to investigate\ntwo-proton and two-neutron separation energies, observed irregularities found\naround the N=Z region, and the like-particle and pn isovector pairing gaps. A\nprominent staggering behavior is observed between groups of even-even and\nodd-odd nuclides. An oscillation, in addition to that associated with changes\nin isospin values, that tracks with alternating seniority quantum numbers\nrelated to the isovector pairing interaction is also found.",
"arxiv_id": "nucl-th/0407086",
"authors": [
"K. D. Sviratcheva",
"A. I. Georgieva",
"J. P. Draayer"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.024313",
"journal_ref": "Phys.Rev.C69:024313,2004",
"title": "Staggering behavior of 0^+ state energies in the Sp(4) pairing model",
"url": "https://arxiv.org/abs/nucl-th/0407086"
},
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