English

Nuclear Symmetries of the similarity renormalization group for nuclear forces

Nuclear Theory 2013-02-19 v1 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1302.3978,
  title  = {Nuclear Symmetries of the similarity renormalization group for nuclear forces},
  author = {E. Ruiz Arriola and V. S. Timoteo and S. Szpigel},
  journal= {arXiv preprint arXiv:1302.3978},
  year   = {2013}
}

Comments

6 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