sp(4,R)-systematics of atomic nuclei. F-multiplets and nuclear structure

dc.creatorDrenska, S.
dc.creatorIvanov, M. I.
dc.creatorMinkov, N.
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:40Z
dc.date.available2026-07-07T08:49:40Z
dc.descriptionA systematics of the atomic nuclei in the frame of the nucleon number $A = Z + N$ and the proton-neutron difference $F = Z - N$ is considered. The classification scheme is provided by means of the non-compact algebra $sp(4,R)$. In this scheme the nuclei are ordered into isobaric multiplets, for which $A={fix}$, as well as in F-multiplets, for which $F={fix}$. The dependence of the mass excess $Δ$, the first exited states $E_{2^+}$ and the ratio $R_2=E_{4^+}/E_{2^+}$ on the nucleon number $A$ is empirically investigated within the $F$-multiplets. Appropriate filters are used to study the properties of the mass excess. Many structural effects are observed. The mirror symmetry is clearly indicated for the energy levels of the nuclei with the same value of $A$ and opposite $F$-values.
dc.description13 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/0712.2709
dc.identifierhttp://arxiv.org/abs/0712.2709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144384
dc.subjectNuclear Theory
dc.titlesp(4,R)-systematics of atomic nuclei. F-multiplets and nuclear structure
dc.typetext

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