Dudek J, Goźdź A, Schunck N, Miśkiewicz M
Institut de Recherches Subatomiques, IN2P3-CNRS/Université Louis Pasteur, F-67037 Strasbourg Cedex 2, France.
Phys Rev Lett. 2002 Jun 24;88(25 Pt 1):252502. doi: 10.1103/PhysRevLett.88.252502. Epub 2002 Jun 11.
More than half a century after the fundamental, spherical shell structure in nuclei had been established, theoretical predictions indicated that the shell gaps comparable or even stronger than those at spherical shapes may exist. Group-theoretical analysis supported by realistic mean-field calculations indicate that the corresponding nuclei are characterized by the TD(d) ("double-tetrahedral") symmetry group. Strong shell-gap structure is enhanced by the existence of the four-dimensional irreducible representations of TD(d); it can be seen as a geometrical effect that does not depend on a particular realization of the mean field. Possibilities of discovering the TD(d) symmetry in experiment are discussed.
在原子核的基本球壳结构确立半个多世纪后，理论预测表明可能存在与球形时相当甚至更强的壳层间隙。由现实平均场计算支持的群论分析表明，相应的原子核以TD(d)（“双四面体”）对称群为特征。TD(d)的四维不可约表示的存在增强了强壳层间隙结构；它可被视为一种不依赖于平均场特定实现方式的几何效应。文中讨论了在实验中发现TD(d)对称性的可能性。
