Europhys. Lett.
Volume 72, Number 2, October 2005
Page(s) 211 - 215
Section Nuclear physics
Published online 26 August 2005
Europhys. Lett., 72 (2), pp. 211-215 (2005)
DOI: 10.1209/epl/i2005-10215-y

Projection operator formalisms and the nuclear shell model

B. 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