Equivalence of model space techniques and the renormalization group for a separable model problem

Abstract

Lee-Suzuki similarity transformations and Krencigowa-Kuo folded diagrams are two common methods used to derive energy independent model space effective interactions for nuclear many-body systems. We demonstrate that these methods are equivalent to a Renormalization Group (RG) analysis of a separable potential model. The effective low-momentum potentials V_{eff} are shown to give the same scaling equation that RG arguments predict. We find the new result that the different model space techniques considered in this paper yield a unique low-momentum V_{eff} when applied to the toy model problem.

10 pages. Minor content and stylistic changes

References in corpus (2)

• Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory
• Describing Nuclear Matter with Effective Field Theories

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