Tetrahedral symmetry in Zr nuclei: calculations of low-energy excitations with Gogny interaciton
Tetrahedral symmetry in Zr nuclei: calculations of low-energy excitations with Gogny interaciton
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Zr 核中的四面体对称性：Gogny 相互作用的低能激发计算
DOI：
10.1088/0954-3899/42/1/015106
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
and Jerzy Dudek
中科院分区：
文献类型：
--
作者：
Shingo Tagami;Yoshifumi R. Shimizu;and Jerzy Dudek
本文报道了三种锆同位素80 Zr 40，96 Zr 56和110 Zr 70的低能激发模式的计算结果，这三种锆同位素是双幻数四面体核（四面体幻数Z= 40，N= 40，56和70）。我们采用现实的Gogny有效的相互作用，使用三个变量的参数化和粒子数，宇称和角动量投影技术。我们定量地证实，由此产生的光谱直接遵循预期的模式从四面体对称量子对象的群论考虑。我们还发现，对于所研究的所有核，角动量投影后得到的关联能是非常大的四面体变形以及其他八极形变。由此产生的配置的能量的降低是相当大的，即约10兆电子伏或甚至更多，再次确认的平均场核结构计算中的角动量投影技术的意义。
We report on the results of the calculations of the low energy excitation patterns for three Zirconium isotopes, viz 80 Zr 40, 96 Zr 56 and 110 Zr 70, reported by other authors to be doubly-magic tetrahedral nuclei (with tetrahedral magic numbers Z= 40 and N= 40, 56 and 70). We employ the realistic Gogny effective interactions using three variants of their parametrization and the particle-number, parity and the angular-momentum projection techniques. We confirm quantitatively that the resulting spectra directly follow the pattern expected from the group theory considerations for the tetrahedral symmetric quantum objects. We also find out that, for all the nuclei studied, the correlation energy obtained after the angular momentum projection is very large for the tetrahedral deformation as well as other octupole deformations. The lowering of the energies of the resulting configurations is considerable, ie by about 10 MeV or even more, once again confirming the significance of the angular-momentum projections techniques in the mean-field nuclear structure calculations.