In-Medium Similarity Renormalization Group For Nuclei

Journal Article · Fri Jun 03 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.222502· OSTI ID:21538383

Tsukiyama, K ^[1]; Bogner, S K ^[2]; Schwenk, A ^[3]

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1. Department of Physics, University of Tokyo, Hongo, Tokyo, 113-0033 (Japan)
2. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844 (United States)
3. ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, 64291 Darmstadt (Germany)

We present a new ab initio method that uses similarity renormalization group (SRG) techniques to continuously diagonalize nuclear many-body Hamiltonians. In contrast with applications of the SRG to two- and three-nucleon interactions in free space, we perform the SRG evolution ''in medium'' directly in the A-body system of interest. The in-medium approach has the advantage that one can approximately evolve 3,...,A-body operators using only two-body machinery based on normal-ordering techniques. The method is nonperturbative and can be tailored to problems ranging from the diagonalization of closed-shell nuclei to the construction of effective valence-shell Hamiltonians and operators. We present first results for the energies of {sup 4}He, {sup 16}O, and {sup 40}Ca, which have accuracies comparable to coupled-cluster calculations.

• OSTI ID: 21538383
• Journal Information: Physical Review Letters, Vol. 106, Issue 22; Other Information: DOI: 10.1103/PhysRevLett.106.222502; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCIUM 40
HAMILTONIANS
HELIUM 4
INTERACTIONS
NUCLEONS
OXYGEN 16
RENORMALIZATION
TWO-BODY PROBLEM
VALENCE
ALKALINE EARTH ISOTOPES
BARYONS
CALCIUM ISOTOPES
ELEMENTARY PARTICLES
EVEN-EVEN NUCLEI
FERMIONS
HADRONS
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
NUCLEI
OXYGEN ISOTOPES
QUANTUM OPERATORS
STABLE ISOTOPES