Operator evolution via the similarity renormalization group: The deuteron

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.054001· OSTI ID:21499156

Anderson, E R; Furnstahl, R J; Perry, R J ^[1]; Bogner, S K ^[2]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
2. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

Similarity renormalization group (SRG) flow equations can be used to unitarily soften nuclear Hamiltonians by decoupling high-energy intermediate-state contributions to low-energy observables while maintaining the natural hierarchy of many-body forces. Analogous flow equations can be used to consistently evolve operators so that observables are unchanged if no approximations are made. The question in practice is whether the advantages of a softer Hamiltonian and less-correlated wave functions might be offset by complications in approximating and applying other operators. Here we examine the properties of SRG-evolved operators, focusing in this article on applications to the deuteron but leading toward methods for few-body systems. We find the advantageous features generally carry over to other operators with additional simplifications in some cases from factorization of the unitary transformation operator.

• OSTI ID: 21499156
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 82; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
CALCULATION METHODS
CHARGED PARTICLES
DECOUPLING
DEUTERONS
EQUATIONS
EVOLUTION
FACTORIZATION
FUNCTIONS
HAMILTONIANS
INTERMEDIATE STATE
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
RENORMALIZATION
TRANSFORMATIONS
WAVE FUNCTIONS