The Similarity Renormalization Group (SRG) has emerged as a powerful and versatile tool for many-body physics. So far, its primary application in the framework of the nuclear many-body problem is the derivation of effective interactions from underlying realistic NN (and recently 3N) interactions.
A recent development is the In-Medium SRG, where the Hamiltonian is evolved directly in the A-body system (i.e., at finite density). By a suitable choice of generator the ground state is decoupled from particle-hole excitations, and the IMSRG can be considered an Ab Initio technique for solving the many-body problem. The computational effort is comparable to Coupled Cluster approaches, allowing calculations including NN and 3N interactions even for medium-mass and heavy nuclei.
While applications have focused on closed-shell nuclei thus far, using single Slater determinants as reference states, I will also discuss a generalized framework for arbitrary reference states and present first results for open-shell nuclei.
K. Tsukiyama, S. Bogner, and A. Schwenk, Phys. Rev. Lett. 106, 222502 (2011)
S. Bogner, R. Furnstahl, and A. Schwenk, Prog. Part. Nucl. Phys. 65, 94 (2010)
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