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arXiv · 1310.8246

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

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

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E. Ruiz Arriola, S. Szpigel, V. S. Timoteo. 2013-10-30. Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem. https://doi.org/10.1007/s00601-014-0858-7

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