Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem

Abstract

The Similarity Renormalization Group reduces the off-shellness by driving the evolved interaction towards a diagonal band. We analyze the infrared limit and the corresponding on-shell interactions and its consequences for light nuclei. Using a harmonic oscillator shell model we obtain a Tjon line B(4He)= 4B(3H)-3B(2H) which can be understood from a combinatorics counting of nucleon pairs and triplets in the triton and alpha-particle and compares favorably with realistic calculations.

Presented by E.R.A. at the 22th European Conference On Few-Body Problems In Physics: EFB22 9 - 13 Sep 2013, Krakow (Poland), 5 pages, 3 figures (corrections and references added)

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Cited by in corpus (7)

• Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy
• The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
• Implicit and explicit renormalization: two complementary views of effective interactions
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group
• $\pi \pi$ scattering from a similarity renormalization group perspective
• On-shell transition of SRG and nuclear systems
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force