Nuclear Symmetries of the similarity renormalization group for nuclear forces

Abstract

We review the role played by long-distance symmetries within the context of the similarity renormalization group approach. This is based on phase-shift-preserving continuous unitary transformations that evolve Hamiltonians with a cutoff on energy differences. We find that there is a similarity cutoff of 3/fm for which almost perfect fulfillment of Wigner SU(4) symmetry is found at the two body level. This suggests to look for similar symmetry patterns for three- and four-body forces. We also analyze the impact of potentials based on Chiral Perturbation Theory in Nuclear Structure calculations.

arXiv comment6 pages, 3 figures, Presented by E. Ruiz Arriola at the The 7th International Workshop on Chiral Dynamics, August 6 -10, 2012, Jefferson Lab, Newport News, Virginia, USA

References in corpus (3)

• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Functional renormalisation group for few-nucleon systems: SU(4) symmetry and its breaking
• Low scale saturation of Effective NN Interactions and their Symmetries

Cited by in corpus (5)

• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
• Implicit and explicit renormalization: two complementary views of effective interactions
• The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force