Three-dimensional approach for construction of low-momentum effective interaction from realistic potentials

TL;DR

This paper develops a three-dimensional momentum-helicity framework for constructing low-momentum effective interactions from realistic potentials, demonstrating its effectiveness with the AV18 potential in reproducing two-body observables.

Contribution

It introduces a novel three-dimensional approach to derive low-momentum interactions, extending previous methods to a momentum-helicity representation.

Findings

$V_{low k}$ reproduces two-body observables of the original potential.

The method is successfully applied to the AV18 potential.

The approach offers a new perspective for low-momentum interaction construction.

Abstract

The low-momentum effective interaction $V_{low k}$ has been formulated in the three-dimensional momentum-helicity representation as a function of the magnitude of momentum vectors and the angle between them. As an application, AV18 potential has been used in the model space of Lee-Suzuki method and it has been shown that the low-momentum effective interaction, $V_{low k}$ reproduces the same two-body observables obtained by the bare potential $V_{NN}$.