Bulg. J. Phys. vol.39 no.4 (2012), pp. 271-281

Importance of Symmetries in the Similarity Renormalization Group Approach

K.D. Launey, T. Dytrych, J.P. Draayer
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
Abstract. We introduce symmetry considerations into a Similarity Renormalization Group (SRG) theory (or flow equations) for a general problem and, specifically, for nuclear physics applications. In particular, invariants of SU(3), which is a symmetry that is known to dominate the dynamics, are used to evolve the SRG flow. We show that an application of the SU(3)-SRG approach to various two-nucleon interactions decouples low-energy configurations that are especially relevant for the regime of ordinary bound systems from higher-energy ones, with manageable induced many-body interactions and reduced complexity of the evolved interaction as a consequence of the use of symmetry. We also give first estimates for the strength of the SRG-induced many-body interactions in a general case and show examples for many-nucleon systems with up through twenty particles.

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