快速旋转$^{40}$ Ca和$^{41}$ Ca超形变形状演化的信号相关三轴性
Signature dependent triaxiality for shape evolution from superdeformation in rapidly rotating $^{40}$Ca and $^{41}$Ca
摘要：
我们用核能-密度泛函方法研究了高自旋下$^{40}$ Ca和$^{41}$ Ca中在yraast线附近可能出现的高度拉长的形状.在三维坐标空间表象下，通过求解推转的Skyme-Kohn-Sham方程，不仅描述了超形变（SD）yrast组态，而且描述了SD带上的yrare组态.结果表明，在$^{40}$ Ca中，部分激发态SD带发生了带交叉，并发展到$J \simeq 25 \hbar$以外的超形变（HD）。我们发现，响应于旋转的三轴度的变化起着决定性的作用，形状演变为HD，这是由签名量子数的最后占领轨道在低自旋。对$^{41}$ Ca中正宇称SD yrast签名伴带的实验观察证实了这一机制，其中一个（$α=+1/2$）与HD带交叉，另一个（$α=-1/2$）从低自旋的集体转动到终止处的扁球形非集体转动的平滑演化.
英文摘要：
We investigate the possible occurrence of the highly-elongated shapes near the yrast line in $^{40}$Ca and $^{41}$Ca at high spins on the basis of the nuclear energy-density functional method. Not only the superdeformed (SD) yrast configuration but the yrare configurations on top of the SD band are described by solving the cranked Skyme-Kohn-Sham equation in the three-dimensional coordinate-space representation. It is suggested that some of the excited SD bands undergo band crossings and develop to the hyperdeformation (HD) beyond $J \simeq 25 \hbar$ in $^{40}$Ca. We find that the change of triaxiality in response to rotation plays a decisive role for the shape evolution towards HD, and that this is governed by the signature quantum number of the last occupied orbital at low spins. This mechanism can be verified in an experimental observation of the positive-parity SD yrast signature-partner bands in $^{41}$Ca, one of which ($α=+1/2$) undergoes crossings with the HD band while the other ($α=-1/2$) shows the smooth evolution from the collective rotation at low spins to the non-collective rotation with oblate shape at the termination.
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