Operator Evolution via the Similarity Renormalization Group I: The Deuteron

Details Operator Evolution via the Similarity Renormalization Group I: The Deuteron Operator Evolution via the Similarity Renormalization Group I: The Deuteron

2010-08-09

arxiv.org/abs/1008.1569v3

Phys.Rev.C82:054001,2010

Physics

Nuclear Physics

Nuclear Theory

33 pages, 19 figures. Improved figures 17 and 18. Expanded comments on OPE in text

Scientific paper

10.1103/PhysRevC.82.054001

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 paper 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.

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