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

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 N N .

From low-momentum interactions to nuclear structure

“…The cutoff Λ ∞ is chosen large enough so that the initial potential V NN is effectively zero for k > Λ ∞ . This can be very large for phenomenological potentials, for example, Λ ∞ 25 fm −1 for the Argonne v 18 potential[18].11 See Refs [93,94]. for a three-dimensional formulation that avoids partial-wave decompositions.…”