1302.3978 (E. Ruiz Arriola et al.)

Nuclear Symmetries of the similarity renormalization group for nuclear
forces    [PDF]

E. Ruiz Arriola, V. S. Timoteo, S. Szpigel

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.

View original: http://arxiv.org/abs/1302.3978