Separable form of a low-momentum realisticNNinteraction

Abstract

The low-momentum interaction V low-k derived from realistic models of the nucleon-nucleon interaction is presented in a separable form. This separable force is supported by a contact interaction in order to achieve the saturation properties of symmetric nuclear matter. Bulk properties of nuclear matter and finite nuclei are investigated for the separable form of V low-k and two different parameterizations of the contact term. The accuracy of the separable force in Hartree-Fock calculations with respect to the original interaction V low-k is discussed. For a cutoff parameter Λ of 2 fm −1 a representation by a rank 2 separable force yields a sufficient accuracy, while higher ranks are required for larger cut-off parameters. The resulting separable force is parameterized in a simple way to allow for an easy application in other nuclear structure calculations.

Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter

“…Throughout this paper, we neglect the isospin symmetry breaking in the interaction V s(t) , and use the averaged nucleon mass, M p = M n = M = 939 MeV. Furthermore, we only retain the S -wave part of V s(t) at low energies and introduce a multi-rank separable potential 16–22 where γ α,N ( k ) > 0 is a form factor with the suffix α = s,t representing the spin-singlet ( α = s) and spin-triplet ( α = t) channels, respectively. η α,N = ±1 determines the sign of the interaction (e.g., η α,N = −1 is attractive).…”

“…and use the averaged nucleon mass, M p = M n = M = 939 MeV. Furthermore, we only retain the S-wave part of V s(t) at low energies and introduce a multi-rank separable potential [16][17][18][19][20][21][22]]…”

Coarse graining nuclear interactions

“…which is a finite rank separable potential, a representation which proved very handy in the past for few-body and nuclear matter calculations (see e.g. [14]). We show in Fig.…”