Block Diagonalization using SRG Flow Equations

TL;DR

This paper explores how selecting specific generators for SRG flow equations can produce various block-diagonal forms of nucleon-nucleon potentials, enhancing decoupling in Hamiltonian transformations.

Contribution

It demonstrates the generation of sharp and smooth block-diagonal potentials using SRG flow equations, offering a new approach to manipulate Hamiltonian structures.

Findings

Different SRG generators lead to distinct decoupling patterns.

Generated potentials are compared to low-momentum interactions ('v_lowk').

The method provides flexible control over Hamiltonian block structures.

Abstract

By choosing appropriate generators for the Similarity Renormalization Group (SRG) flow equations, different patterns of decoupling in a Hamiltonian can be achieved. Sharp and smooth block-diagonal forms of phase-shift equivalent nucleon-nucleon potentials in momentum space are generated as examples and compared to analogous low-momentum interactions ("v_lowk").