Symmetries of the similarity renormalization group for nuclear forces

Author(s)

Timoteo, V. S. ^[1] ; Szpigel, S. ^[2] ; Ruiz Arriola, E. ^{[3, 4]}

Affiliation

^[1] Univ Estadual Campinas, UNICAMP, Fac Technol, BR-13484332 Limeira, SP - Brazil

^[2] Univ Presbiteriana Mackenzie, Fac Comp & Informat, BR-01302907 Sao Paulo - Brazil

^[3] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada - Spain

^[4] Univ Granada, Inst Carlos Fis Teor & Computac 1, E-18071 Granada - Spain

• Document type: Journal article
• Source: Physical Review C; v. 86, n. 3 SEP 14 2012.
• Web of Science Citations: 10

Abstract

We analyze the role played by long-distance symmetries within the context of the similarity renormalization group (SRG) approach, which is based on phase-shift-preserving continuous unitary transformations that evolve Hamiltonians with a cutoff on energy differences. We find that there is a SRG cutoff for which almost perfect fulfillment of Wigner symmetry is found. We discuss the possible consequences of such a finding. (AU)

• FAPESP's process: 11/18211-2 - The nuclear force and the renormalization group
• Grantee: Varese Salvador Timoteo
• Support Opportunities: Regular Research Grants
• FAPESP's process: 10/50646-6 - High performance computing applied in interdisciplinary problems
• Grantee: Vitor Rafael Coluci
• Support Opportunities: Regular Research Grants