Low-momentum effective interaction in the three-dimensional approach

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 N N .