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Nuclear Symmetries of the similarity renormalization group for nuclear forces

2013/02/16 by E. Ruiz Arriola, V. S. Timoteo, Arriola, E. Ruiz +4
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.1302.3978

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

arxiv created 2013/02/16 · openalex publication_date 2013/02/16 · arxiv updated 2013/02/19 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

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.

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