A new approach to shell model effective interactions based on low momentum nucleon-nucleon potential

Using a rigorous model-space reduction method to perform a renormalisation group decimation, an effective low momentum nucleon-nucleon potential is constructed from the CD-Bonn potential. The low deuteron binding energy, low energy phase shifts, and the half-on-shell T-matrices of the underlying CD-Bonn potential are preserved by the effective potential. The low momentum effective potential is smooth and appears to be suitable for shell model calculations without first having to calculate the Brueckner G-matrix. Shell model calculations for $^{18}O$ and $^{134}Te$ following this approach have been highly encouraging