Phase transition in the SRG flow of nuclear interactions

TL;DR

This paper investigates the behavior of nuclear interactions under the similarity renormalization group flow, revealing a scale-dependent crossover in the on-shell transition influenced by momentum space discretization.

Contribution

It introduces an analysis of the SRG flow in nuclear interactions using chiral N3LO potentials, highlighting a scale-dependent crossover phenomenon.

Findings

Identifies a crossover scale in SRG flow dependent on grid points

Shows the on-shell transition behavior varies with discretization

Provides insights into the infrared limit of nuclear interactions

Abstract

We use a chiral interaction at N3LO in the 1S0 channel of the nucleon- nucleon interaction in order to investigate the on-shell transition along the similarity renormalization group flow towards the infrared limit. We find a crossover at a scale that depends on the number of grid points used to discretise the momentum space.