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


  • © 2005 The American Physical Society. An all-order summation of core-polarization diagrams using the low-momentum nucleon-nucleon interaction Vlow.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 nonlinear coupled equations. It is found that the solution of these equations is simpliÞed using Vlow.k, which is energy independent, and using the GreenÕs functions in the particle-particle and particle-hole channels. We have applied this approach to the sd-shell effective interactions and Þnd that the results we calculated to all orders by using the KBB summation technique are remarkably similar to those of second-order perturbation theory, the average differences being less than 10%.

author list (cited authors)

  • Holt, J. D., Holt, J. W., Kuo, T., Brown, G. E., & Bogner, S. K.

citation count

  • 0

Book Title

  • The Nucleon-Nucleon Interaction and the Nuclear Many-Body Problem: Selected Papers of Gerald E Brown and T T S Kuo

publication date

  • January 2010