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

TL;DR

This paper investigates the evolution of chiral effective nucleon-nucleon potentials using the Similarity Renormalization Group within the Subtracted Kernel Method framework, providing insights into scale dependence and potential softening.

Contribution

It introduces the application of SRG to chiral $NN$ potentials derived via SKM, offering a novel approach to analyze their scale evolution in nuclear physics.

Findings

SRG evolution of chiral $NN$ potentials studied in the $^1 S_0$ channel.

Demonstrates the effectiveness of SKM in renormalizing chiral potentials.

Provides a new perspective on potential softening through SRG in the SKM framework.

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.