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

Jason D. Holt·Jeremy W. Holt·T. T. S. Kuo·G. E. Brown·S. K. Bogner
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Abstract

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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Jason D. Holt, Jeremy W. Holt, T. T. S. Kuo, G. E. Brown, S. K. Bogner. 2005-04-18. Low momentum shell model effective interactions with all-order core polarizations. https://doi.org/10.1103/physrevc.72.041304

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