Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach

Abstract

Methods based on Wilson's renormalization group have been successfully applied in the context of nuclear physics to analyze the scale dependence of effective nucleon-nucleon ($NN$) potentials, as well as to consistently integrate out the high-momentum components of phenomenological high-precision $NN$ potentials in order to derive phase-shift equivalent softer forms, the so called $V_{low-k}$ potentials. An alternative renormalization group approach that has been applied in this context is the Similarity Renormalization Group (SRG), which is based on a series of continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. In this work we study the SRG evolution of a leading order (LO) chiral effective $NN$ potential in the ${}^1{S}_0$ channel derived within the framework of the Subtracted Kernel Method (SKM), a renormalization scheme based on a subtracted scattering equation.

Published version

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Cited by in corpus (13)

• Symmetries of the Similarity Renormalization Group for Nuclear Forces
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Implicit vs Explicit Renormalization and Effective Interactions
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
• Spectral-shift and scattering-equivalent Hamiltonians on a coarse momentum grid
• The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
• Implicit and explicit renormalization: two complementary views of effective interactions
• Renormalization group invariance in pionless effective field theory for the NN system
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• On-shell transition of SRG and nuclear systems