English

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

Nuclear Theory 2015-06-17 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1310.8246,
  title  = {Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem},
  author = {E. Ruiz Arriola and S. Szpigel and V. S. Timoteo},
  journal= {arXiv preprint arXiv:1310.8246},
  year   = {2015}
}

Comments

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)