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

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

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

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arxiv 1310.8246 v2 pith:3S7MLJWK submitted 2013-10-30 nucl-th hep-ph

E. Ruiz Arriola , S. Szpigel , V. S. Timoteo This is my paper · ORCID

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keywords grouprenormalizationsimilarityalpha-particleanalyzebandcalculationscombinatorics

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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.

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$\pi\pi$ scattering from a similarity renormalization group perspective
hep-ph 2019-09 conditional novelty 6.0 of 10

The authors show that SRG evolution makes a fitted pi-pi potential band-diagonal, but they do not verify that the evolved potential reproduces the original phase shifts.

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