Separation of Scales in the More Effective Field Theory and Moszkowski-Scott Methods

TL;DR

This paper compares two scale separation methods in nuclear physics, showing they produce similar low-momentum interactions when the configuration-space cutoff is around 1.0 fm, aiding in effective nuclear many-body problem modeling.

Contribution

It demonstrates the equivalence of momentum-space and configuration-space scale separation methods in constructing low-momentum nucleon interactions.

Findings

Close agreement between methods at ~1.0 fm cutoff

Scale separation methods produce similar low-momentum interactions

Insights into nuclear many-body problem modeling

Abstract

We compare the momentum-space decimation procedure used to construct the low momentum nucleon-nucleon interaction V(low-k) with the configuration-space separation method of Moszkowski and Scott. Each procedure defines a separation of scales in the nuclear many-body problem, and the extent to which these two scales coincide is studied. By studying the effects of the separation method on the relative S-state Kallio-Kolltveit potential, it is found that close agreement with V(low-k) is obtained as the configuration-space cutoff is lowered to ~ 1.0 fm.