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arXiv 1711.08596nucl-th
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Proxy-SU(3):重核的对称性

Proxy-SU(3): A symmetry for heavy nuclei

D. Bonatsos, I. E. Assimakis, N. Minkov, A. Martinou, S. K. Peroulis, S. Sarantopoulou, R. B. Cakirli, R. F. Casten, K. Blaum

摘要:

J. P. Elliott在sd核壳层中实现的SU(3)对称性在较重壳层中被强的自旋-轨道相互作用破坏。另一方面,SU(3)对称性已经被用于在相互作用玻色子近似的框架下用玻色子来描述重核,以及在赝SU(3)近似下用费米子来描述重核。最近提出了一种新的费米子近似,称为proxy-SU(3),并将其应用于偶数稀土。我们表明,proxy-SU(3)的适用性可以推广到28-50质子壳层的偶核、偶超重元素以及奇-奇和奇稀土。的β和γ变形参数的参数预测和替代的理论预测和现有的数据进行比较。

英文摘要:

The SU(3) symmetry realized by J. P. Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. On the other hand, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) approximation. A new fermionic approximation, called the proxy-SU(3), has been recently introduced and applied to the even rare earths. We show that the applicability of proxy-SU(3) can be extended to even nuclei in the 28-50 proton shell, to even superheavy elements, as well as to odd-odd and odd rare earths. Parameter free predictions for the beta and gamma deformation parameters are presented and compared to alternative theoretical predictions and to existing data.

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