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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。
A new method to construct the base vector space for truncating the shell model is proposed. The associative basis uses the eigenstates of Hamiltonian for each particle number distribution in the shell model as a basis. Above this basis, it is natural to make a corresponding truncation calculation by considering the associated base vectors with relatively low energies. When all of the associated basis vectors are considered, the result is returned to the result given by the general jj coupling. Finally, the calculation of the associated shell model is compared with that of the standard shell model. The calculation results show that the energy and the wave function of the shell model have good convergence and the validity of the calculation of the related basis.