论文标题
Elliott模型之外的旋转带
Rotational bands beyond the Elliott model
论文作者
论文摘要
旋转带在原子核的光谱中很普遍。埃利奥特（Elliott）受液态滴的四极变形的早期描述的启发，埃利奥特（Elliott）构建了$ \ mathrm {surm {su}（3）$的离散核代表，并从费米金创建和歼灭操作员中构建。从那以后，埃利奥特（Elliott）的模型一直是核中旋转描述的基础。但是，后来的工作建议Sympletic扩展名$ \ Mathrm {sp}（3，r）$提供了更统一的图片。我们使用Elliott's $ \ Mathrm {surm {Surm {Su}（3）$ and $ \ \ \ \ \ \ Mathrm {sp}（3，sp}（3，sp}（3，3，sp}（3，sp}（3，r），，我们将无核壳模核波函数分解为对称定义的子空间，以及$^{20} $ ne。由强$ b（e2）$ values描绘的频段结构在$ \ mathrm {sp}（3，r）$而不是$ \ mathrm {su}（su}（3）$中具有更一致的描述。 {特别是，我们在某些核素中证实了以前的工作发现，在具有相同基础互合结构的上下带有强烈连接的上和下带。
Rotational bands are commonplace in the spectra of atomic nuclei. Inspired by early descriptions of these bands by quadrupole deformations of a liquid drop, Elliott constructed a discrete nucleon representations of $\mathrm{SU}(3)$ from fermionic creation and annihilation operators. Ever since, Elliott's model has been foundational to descriptions of rotation in nuclei. Later work, however, suggested the symplectic extension $\mathrm{Sp}(3,R)$ provides a more unified picture. We decompose no-core shell-model nuclear wave functions into symmetry-defined subspaces for several beryllium isotopes, as well as $^{20}$Ne, using the quadratic Casimirs of both Elliott's $\mathrm{SU}(3)$ and $\mathrm{Sp}(3,R)$. The band structure, delineated by strong $B(E2)$ values, has a more consistent description in $\mathrm{Sp}(3,R)$ rather than $\mathrm{SU}(3)$. {In particular, we confirm previous work finding in some nuclides strongly connected upper and lower bands with the same underlying symplectic structure.
