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Operator evolution via the similarity renormalization group: The deuteron

Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/48507

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Title: Operator evolution via the similarity renormalization group: The deuteron
Creators: Anderson, E. R.; Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
Issue Date: 2010-11-03
Publisher: American Physical Society
Citation: E. Anderson et al, "Operator evolution via the similarity renormalization group: The deuteron," Physical Review C 82, no. 5 (2010), doi:10.1103/PhysRevC.82.054001
DOI: 10.1103/PhysRevC.82.054001
Abstract: 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.
ISSN: 1089-490X
URI: http://hdl.handle.net/1811/48507
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