Low-momentum effective interaction in the three-dimensional approach

TL;DR

This paper develops a three-dimensional approach to formulate low-momentum effective interactions using Lee-Suzuki and renormalization group methods, successfully reproducing two-body observables with a simplified potential.

Contribution

It introduces a 3D formulation of low-momentum interactions as functions of momentum magnitude and angle, extending previous methods to a new approach.

Findings

V_{low k} reproduces two-body observables of the bare potential

The 3D approach incorporates angular dependence in the interaction

Application to Malfliet-Tjon potential demonstrates effectiveness

Abstract

The formulation of the low-momentum effective interaction in the model space Lee-Suzuki and the renormalization group methods is implemented in the three-dimensional approach. In this approach the low-momentum effective interaction V_{low k} has been formulated as a function of the magnitude of momentum vectors and the angle between them. As an application the spin-isospin independent Malfliet-Tjon potential has been used into the model space 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}.