论文标题
与对称性的准粒子真空吸尘器的叠加的变化方法进行核壳模型计算
Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
论文作者
论文摘要
我们提出了一种利用角摩肌，奇偶校验，数量投影的准粒子真空吸尘器的叠加的变异计算方案，该方案特别适合于壳模计算中中等重型核。我们通过准粒子真空吸尘器得出了能量方差的公式，并将能量变化外推到当前方案中，以进一步精确估计精确的壳模型能量。该方法的有效性用于$ 50 \ leq z，n \ leq 82 $模型空间中的$^{132} $ ba的外壳模型计算。我们还讨论了该方案的可行性，如果$^{150} $ nd在$ 50 \ leq z \ leq 82 $和$ 82 \ leq z \ leq z \ leq 126 $模型空间中，并证明其中性s中性s-douple-beta-decay-decay元素可获得良好的转化。
We propose a variational calculation scheme utilizing the superposition of the angular-momentum, parity, number projected quasiparticle vacua, that is especially suitable for applying to medium-heavy nuclei in shell-model calculations. We derive a formula for the energy variance with quasi-particle vacua and apply the energy-variance extrapolation to the present scheme for further precise estimation of the exact shell-model energy. The validity of the method is presented for the shell-model calculation of $^{132}$Ba in the $50 \leq Z,N \leq 82$ model space. We also discuss the feasibility of this scheme in the case of the $^{150}$Nd in the $50 \leq Z \leq 82$ and $82 \leq Z \leq 126$ model space and demonstrate that its neutrinoless-double-beta-decay matrix element is obtained showing good convergence.
