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arXiv 0712.2709nucl-th
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sp(4,R)-原子核系统学。F多重态与原子核结构

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

S. Drenska, M. I. Ivanov, N. Minkov

摘要:

本文在核子数$A = Z + N$和质子中子差$F = Z - N$的框架下考虑原子核的系统学。分类方案是由非紧代数$sp(4,R)$。在这个方案中,原子核被排列成同量异位的多重态,其中$A={fix}$,以及F-多重态,其中$F={fix}$。在$F$ -多重态中,研究了质量过剩$Δ$、第一激发态$E_{2^+}$和比值$R_2=E_{4^+}/E_{2^+}$对核子数$A$的依赖性.适当的过滤器用于研究质量过剩的性质。观察到许多结构效应。对于具有相同的$A$值和相反的$F$值的原子核的能级,清楚地表明了镜像对称性。

英文摘要:

A 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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