Low momentum shell model effective interactions with all-order core polarizations

Details Low momentum shell model effective interactions with all-order core polarizations Low momentum shell model effective interactions with all-order core polarizations

2005-04-18

arxiv.org/abs/nucl-th/0504058v1

Phys.Rev. C72 (2005) 041304

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 figures

Scientific paper

10.1103/PhysRevC.72.041304

An all-order summation of core polarization diagrams using the low-momentum nucleon-nucleon interaction, V_low-k is presented. The summation is based on the Kirson-Babu-Brown (KBB) induced interaction approach in which the vertex functions are obtained self consistently by solving a set of non-linear coupled equations. It is found that the solution of these equations is simplified by using V_low-k, which is energy independent, and by employing Green functions in the particle-particle and particle-hole channels. We have applied this approach to the sd-shell effective interactions and find that the results calculated to all orders using the KBB summation technique are remarkably similar to those of second-order perturbation theory, average differences being less than 10%.

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