The shell model, the renormalization group and the two-body interactionB. K. Jennings
TRIUMF - 4004 Wesbrook Mall, Vancouver, BC, Canada, V6T 2A3
received 27 July 2005; accepted in final form 16 August 2005
published online 9 September 2005
The no-core shell model and the effective interaction can both be derived using the Lee-Suzuki projection operator formalism. The main difference between the two is the choice of basis states that define the model space. The effective interaction can also be derived using the renormalization group. That renormalization group derivation can be extended in a straightforward manner to also include the no-core shell model. In the nuclear matter limit the no-core shell model effective interaction in the two-body approximation reduces identically to . The same considerations apply to the Bloch-Horowitz version of the shell model and the renormalization group treatment of two-body scattering by Birse, McGovern and Richardson.
21.60.Cs - Shell model.
21.30.Fe - Forces in hadronic systems and effective interactions.
© EDP Sciences 2005