A new solution for effective interaction
Abstract
A new method is given for the model-space effective interaction. Introducing a new operator in place of the Q-box in the Krenciglowa-Kuo (KK) method, we derive a new equation for the effective interaction. This equation can be viewed as an extension of the KK method. We show that this equation can be solved both in iterative and non-iterative ways. We observe that the iteration procedure brings about fast acceleration of convergence compared to the KK approach. We also find that the non-iterative calculation reproduces successfully any set of the true eigenvalues of the original Hamiltonian. This non-iterative calculation can be made regardless of the magnitudes of the overlaps with the model space and the energy differences between the unperturbed energy and the eigenvalues to be solved.
Keywords
Cite
@article{arxiv.1011.1994,
title = {A new solution for effective interaction},
author = {R. Okamoto and K. Suzuki and H. Kumagai and S. Fujii},
journal= {arXiv preprint arXiv:1011.1994},
year = {2015}
}
Comments
6 pages, 2 figures, 1 table, talk presented at 10th International Spring Seminar on Nuclear Physics "New Quests in Nuclear Structure", Vietri sul Mare, may 21-25, 2010. To be published on Journal of Physics Conference Series. Fig.1 and Fig.2 replaced. Content unchanged