English

Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group

Nuclear Theory 2011-03-22 v1

Abstract

In recent years, the Similarity Renormalization Group has provided a powerful and versatile means to soften interactions for ab initio nuclear calculations. The substantial contribution of both induced and initial three-body forces to the nuclear interaction has required the consistent evolution of free-space Hamiltonians in the three-particle space. We present the most recent progress on this work, extending the calculational capability to the p-shell nuclei and showing that the hierarchy of induced many-body forces is consistent with previous estimates. Calculations over a range of the flow parameter for 6Li, including fully evolved NN+3N interactions, show moderate contributions due to induced four-body forces and display the same improved convergence properties as in lighter nuclei. A systematic analysis provides further evidence that the hierarchy of many-body forces is preserved.

Keywords

Cite

@article{arxiv.1011.4085,
  title  = {Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group},
  author = {E. D. Jurgenson and P. Navratil and R. J. Furnstahl},
  journal= {arXiv preprint arXiv:1011.4085},
  year   = {2011}
}

Comments

26 pages, 15 figures, and 5 tables

R2 v1 2026-06-21T16:45:25.709Z