在轻锡和Cd同位素中存在四极优势

A. Zuker
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引用次数: 5

摘要

[背景]$N\le 64$的Sn同位素的BE2速率显示出迄今无法解释的增强。Cd同位素也是如此。[目的]描述Sn和Cd同位素的电磁特性[方法]壳模型计算具有最小程度的重归一化现实相互作用,辅以准和伪su3对称性和Nilsson-SU3自洽计算。[$N\le 64$]以中子有效电荷为单自由参数的壳模型计算结果很好地描述了Cd和Sn同位素$N\le 64$的BE2(2>0)和BE2(4>2)速率。前者表现出微弱的永久变形,证实了伪su3对称的预测,后者在配对力侵蚀四极优势的情况下仍然具有启发式价值。在$10^7$和$10^{10}$维空间中的计算显示出几乎相同的模式:证明壳模型是正确的。[$N\ge 64$的结果]Nilsson-SU3计算描述了[112-120]Cd和[116-118]Sn同位素中的BE2模式具有相当大的非旋转源四极矩,表示为q振动。对于较重的物质,没有提出计算,对于Sn,传统的优先级描述是假设的,而在Cd中,四极矩变化符号。[结论]对该地区的传统解释进行彻底的重新检查已被证明是必要的,其中四极优势起着主要作用。呈现出来的是一个曲折但连贯的观点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quadrupole dominance in the light Sn and in the Cd isotopes
[Background] The BE2 rates of the Sn isotopes for $N\le 64$ exhibit enhancements hitherto unexplained. The same is true for the Cd isotopes. [Purpose] Describe the electromagnetic properties of the Sn and Cd isotopes [Method] Shell model calculations with a minimally renormalized realistic interaction, supplemented by Quasi and Pseudo-SU3 symmetries and Nilsson-SU3 selfconsistent calculations. [Results for $N\le 64$] Shell model calculations with the neutron effective charge as single free parameter describe well the BE2(2>0) and BE2(4>2) rates for $N\le 64$ in the Cd and Sn isotopes. The former exhibit weak permanent deformation corroborating the prediction of a Pseudo-SU3 symmetry, which remains of heuristic value in the latter, where the pairing force erodes the quadrupole dominance. Calculations in $10^7$ and $10^{10}$-dimensional spaces exhibit almost identical patterns: A vindication of the shell model. [Results for $N\ge 64$] Nilsson-SU3 calculations describe BE2 patterns in [112-120]Cd and [116-118]Sn isotopes having sizable quadrupole moment of non-rotational origin denoted as q-vibrations. No calculations are proposed for the heavier species, for which the conventional seniority dscription is assumed for Sn, while in Cd the quadrupole moments change sign. [Conclusion] A radical reexamination of traditional interpretations in the region has been shown to be necessary, in which quadrupole dominance plays a major role. What emerges is a bumpy but coherent view.
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