Projection operator formalisms and the nuclear shell modelB. K. Jennings
TRIUMF - 4004 Wesbrook Mall, Vancouver, BC, Canada V6T 2A3
received 27 July 2005; accepted 5 August 2005
published online 26 August 2005
The shell model solves the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the effective interactions are considered. One is based on a partial solution of the Schrödinger equation (Bloch-Horowitz or the Feshbach projection formalism) and other on linear algebra (Lee-Suzuki). The two methods are derived in a parallel manner so that the difference and similarities become apparent. The connections with the renormalization group are also pointed out.
21.60.Cs - Shell model.
21.30.Fe - Forces in hadronic systems and effective interactions.
© EDP Sciences 2005