In this paper, an improvement has been made on the variation after projection (VAP) method, which is crucial in the calculations of high-spin states. It turns out that, the form of the trial VAP wave function with spin J can be simplified by adopting just one projected state rather than previously adopting all $(2J+1)$ angular momentum projected states for each selected reference state, $|\mathrm{\Phi }〉$. The present calculations show that such simplification still minimizes the angular momentum projected energy up to a very good approximation. In this simplified VAP scheme, one can obtain almost equivalent VAP wave functions starting from different sets of the projected basis states. This clearly shows that a nuclear state can not be identified with a single intrinsic state, while in the traditional nuclear collective models, an intrinsic state is usually assigned to a well deformed rotational band.

在本文中，对投影后变化（VAP）方法进行了改进，该方法在高自旋态的计算中至关重要。结果证明，带有自旋J的试验 VAP 波函数的形式可以通过只采用一种投影状态来简化，而不是以前采用所有$(2J+1)$ 每个选定参考状态的角动量投影状态， $|\mathrm{\Phi }〉$. 目前的计算表明，这种简化仍然使角动量投影能量最小化，达到非常好的近似值。在这种简化的 VAP 方案中，可以从不同的投影基态集开始获得几乎等效的 VAP 波函数。这清楚地表明，核状态不能与单一的内在状态识别，而在传统的核集体模型中，内在状态通常被分配给变形良好的旋转带。