Department of Physics, University of Tokyo, Hongo, Tokyo, Japan.
Phys Rev Lett. 2011 Jun 3;106(22):222502. doi: 10.1103/PhysRevLett.106.222502. Epub 2011 Jun 1.
We present a new ab initio method that uses similarity renormalization group (SRG) techniques to continuously diagonalize nuclear many-body Hamiltonians. In contrast with applications of the SRG to two- and three-nucleon interactions in free space, we perform the SRG evolution "in medium" directly in the A-body system of interest. The in-medium approach has the advantage that one can approximately evolve 3,…,A-body operators using only two-body machinery based on normal-ordering techniques. The method is nonperturbative and can be tailored to problems ranging from the diagonalization of closed-shell nuclei to the construction of effective valence-shell Hamiltonians and operators. We present first results for the energies of 4He, 16O, and 40Ca, which have accuracies comparable to coupled-cluster calculations.
我们提出了一种新的从头算方法，该方法使用相似性重整化群 (SRG) 技术连续对角化核多体哈密顿量。与 SRG 在自由空间中应用于二体和三体相互作用的情况不同，我们在感兴趣的 A 体系统中直接进行“介质中”的 SRG 演化。介质中的方法具有的优势在于，人们可以仅使用基于排序技术的二体机制来近似演化 3，…，A 体算符。该方法是非微扰的，可以针对从闭壳核的对角化到有效价壳哈密顿量和算符的构建等各种问题进行定制。我们首次给出了 4He、16O 和 40Ca 的能量结果，其精度可与耦合簇计算相媲美。
