基于关联基的壳模型截断计算

提出了一种新的用于壳模型截断计算的基矢空间的构建方法,即关联基的方法。关联基是利用壳模型中每个粒子数分布下哈密顿量的本征态作为基矢。在此基矢之上,可以很自然地通过考虑能量相对较低的关联基矢进行相应的截断计算。当所有的关联基矢都被考虑时,计算结果回到一般jj耦合给出的结果。最后,对关联基下壳模型的计算与标准的壳模型计算进行了比较,计算结果表明,关联基下壳模型能量和波函数有着良好的收敛性,同时表明关联基计算的有效性。

Shell-model Truncated Calculation in Correlated Basis

We present a new basis selection algorithm for truncated shell model calculations. In this method the basis is taken as the correlated eigenvectors of the Hamiltonian in each shell-model partition. A truncation scheme is established by naturally taking the low-lying correlated basis vectors in the different partitions, which is equivalent to the j-j coupling scheme of the shell model when all correlated basis vectors are considered. The calculations are compared with standard shell model calculations. The convergence properties of the correlated basis method are also discussed. The calculation results show that one can get both good convergence of energies and wave functions, which indicate the effectiveness of correlated basis shell-model calculation.