English

No-Core Monte Carlo Shell Model Calculations with Unitary Correlation Operator Method and Similarity Renormalization Group

Nuclear Theory 2015-06-11 v1

Abstract

The unitary correlation operator method (UCOM) and the similarity renormalization group theory (SRG) are compared and discussed in the framework of no-core Monte Carlo shell model (MCSM) calculations for 3^{3}H and 4^{4}He. The treatment of spurious center-of-mass motion by Lawson's prescription is performed in the MCSM calculations. These results with both transformed interactions show good suppression of spurious center-of-mass motion with proper Lawson's prescription parameter βc.m.\beta_{\rm c.m.} values. The UCOM potentials obtains faster convergence of total energy for the ground state than that of SRG potentials in the MCSM calculations, which differs from the cases in the no-core shell model calculations (NCSM). This differences are discussed and analyzed in terms of the truncation scheme in the MCSM and NCSM, as well as the properties of potentials of SRG and UCOM.

Cite

@article{arxiv.1411.6074,
  title  = {No-Core Monte Carlo Shell Model Calculations with Unitary Correlation Operator Method and Similarity Renormalization Group},
  author = {Lang Liu},
  journal= {arXiv preprint arXiv:1411.6074},
  year   = {2015}
}

Comments

10 pages, 4 figures. arXiv admin note: text overlap with arXiv:0802.4239 by other authors

R2 v1 2026-06-22T07:08:11.867Z