论文标题

光SN和CD同位素中的四极优势

Quadrupole dominance in the light Sn and in the Cd isotopes

论文作者

Zuker, A. P.

论文摘要

[背景] $ n \ le 64 $的Sn同位素的BE2率迄今无法解释。 CD同位素也是如此。 [目的]描述了SN和CD同位素的电磁特性[方法]壳模型的计算,并通过Quasi和pseudo-su3对称性以及nilsson-su3 selfsensistert计算来补充,以最小的重新归一化的现实相互作用计算。 [$ n \ le 64 $的结果]带有中子有效电荷的外壳模型计算,作为单个自由参数很好地描述了CD和SN同位素中$ N \ le 64 $的BE2(2> 0)和BE2(4> 2)速率。前者表现出弱的永久变形,证实了伪-SU3对称性的预测,后者在后者中仍然具有启发式值,在那里,配对力侵蚀了四倍的优势。计算$ 10^7 $和$ 10^{10} $ - 尺寸空间几乎相同的模式:Shell模型的辩护。 [$ n \ ge 64 $的结果] Nilsson-Su3计算描述了[112-120] CD中的BE2模式和[116-118] Sn同位素具有相当大的四杆矩时,以非旋转原点表示为Q振动。没有针对较重的物种提出计算,为此,假定SN的常规资历DScription,而在CD中,四极力矩会改变符号。 [结论]对该地区传统解释的根本性重新审查已被证明是必要的,其中四极杆优势起着主要作用。出现的是颠簸但连贯的视野。

[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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