Similarity renormalization group for nuclear forces

TL;DR

This paper reviews the similarity renormalization group method for nuclear forces, focusing on how it simplifies nuclear Hamiltonians and enables more efficient first-principles nuclear calculations.

Contribution

It provides a comprehensive analysis of the SRG flow equations, the evolution towards diagonal Hamiltonians, and the impact of induced many-body interactions in nuclear physics.

Findings

SRG effectively diagonalizes nuclear Hamiltonians

Induced many-body interactions are significant in SRG evolution

Progress in ab initio nuclear calculations using low-resolution forces

Abstract

Renormalization group methods generate low-resolution Hamiltonians that are more diagonal and easier to solve. This chapter reviews the similarity renormalization group for nuclear Hamiltonians, which is a popular method for generating low-resolution nuclear forces. It presents the similarity renormalization group flow equations, analyzes how the similarity renormalization group drives the Hamiltonian towards the diagonal, and studies the effect of induced many-body interactions. It concludes by highlighting the progress in first-principles calculations of nuclei driven by low-resolution nuclear Hamiltonians.