We introduce an extension to the conventional variation after projection (VAP) method, in which wave functions of different spin states projected from a shared intrinsic wave function are first varied simultaneously. Then a second variation is carried out for each individual state starting from the obtained intrinsic wave function. This novel algorithm enables the efficient extraction of a rotational band from chaotic non-rotational states by adopting only one Slater determinant, which can not be reached by the conventional VAP method. Some examples including the heavy deformed nuclei in the model space have been calculated. The calculated results show that this new method could be a useful tool to systematically study the collective rotational states in heavy deformed nuclei. Furthermore, the present method holds potential for probing significant correlations, such as octupole correlations, within nuclear structures.

中文翻译：

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一种利用投影后变分法研究重变形核壳模型的新算法


我们引入了传统投影后变化（VAP）方法的扩展，其中从共享本征波函数投影的不同自旋态的波函数首先同时变化。然后，从获得的本征波函数开始，对每个单独的状态进行第二次变化。这种新颖的算法仅采用一个Slater行列式就可以从混沌非旋转状态中有效地提取旋转带，这是传统VAP方法无法实现的。已经计算了模型空间中包括重变形核的一些例子。计算结果表明，这种新方法可以成为系统研究重变形核集体旋转状态的有用工具。此外，本方法具有探测核结构内显着相关性的潜力，例如八极相关性。