Understanding the Evolution of Three-Body Forces via Similarity Renormalization Group

ORAL

Abstract

The Similarity Renormalization Group (SRG) is a continuous series of unitary transformations. When the relative kinetic energy ($T_{\rm rel}$) is used in the SRG generator, high- and low- momentum scales are decoupled, but at a cost of induced many-body forces. For few-body nuclei or when including only short-range initial three-body forces, the four-body (and possibly higher) forces have been kept small. However, recent evolutions with long-range initial three-body forces, indicate that induced many- body forces gain significant strength for larger nuclei. We present some novel methods for examining the SRG evolution as well as results from model calculations where we have attempted to control these induced forces.

*Support in part by NSF Grants PHY-0653312 and PHY-1002478, UNEDF SciDAC Collaboration under DOE Grant DE-FC02-07ER4145, and DOE SCGF Program under contract number DE-AC05-06OR23100.

Authors

  • Kyle Wendt

    • The Ohio State University
  • R.J. Furnstahl

    • Ohio State U
    • The Ohio State University
    • Ohio State Univ.
  • Robert Perry

    • The Ohio State University