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Title: Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group

Journal Article · · Physical Review Letters

The first practical method to evolve many-body nuclear forces to softened form using the Similarity Renormalization Group (SRG) in a harmonic oscillator basis is demonstrated. When applied to 4He calculations, the two- and three-body oscillator matrix elements yield rapid convergence of the ground-state energy with a small net contribution of the induced four-body force.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
966225
Report Number(s):
LLNL-JRNL-412933; PRLTAO; TRN: US0903930
Journal Information:
Physical Review Letters, Vol. 103, Issue 8; ISSN 0031-9007
Country of Publication:
United States
Language:
English

References (20)

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Decoupling in the similarity renormalization group for nucleon-nucleon forces journal July 2008
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Convergence in the no-core shell model with low-momentum two-nucleon interactions journal March 2008
Spectra and binding energy predictions of chiral interactions for Li 7 journal June 2006
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Local three-nucleon interaction from chiral effective field theory journal November 2007
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Low-momentum interaction in few-nucleon systems journal December 2004
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Flow-equations for Hamiltonians journal January 1994
Impact of bound states on similarity renormalization group transformations journal August 2008
Three-body forces produced by a similarity renormalization group transformation in a simple model journal June 2008
Perturbative renormalization group for Hamiltonians journal April 1994
Block diagonalization using similarity renormalization group flow equations journal March 2008

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