Symmetries of the Similarity Renormalization Group for Nuclear Forces

TL;DR

This paper investigates how Long Distance Symmetries, especially Wigner symmetry, manifest within the SRG approach to nuclear forces, revealing a cutoff where symmetry is nearly perfectly preserved, with potential implications for nuclear physics.

Contribution

It demonstrates the existence of a specific SRG cutoff that nearly preserves Wigner symmetry in nuclear force Hamiltonians, highlighting a new symmetry aspect within the SRG framework.

Findings

Identification of an SRG cutoff with near-perfect Wigner symmetry

Implications for understanding nuclear force symmetries

Potential impact on nuclear force modeling

Abstract

We analyze the role played by Long Distance Symmetries within the context of the Similarity Renormalization Group (SRG) approach, which is based on phase-shift preserving continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. We find that there is a SRG cutoff for which almost perfect fulfillment of Wigner symmetry is found. We discuss the possible consequences of such finding.