Correlation strength with modern nucleon-nucleon potentials in the Brueckner-Hartree-Fock approach

We calculate the correlation parameter $\kappa$ of symmetric nuclear matter in the Brueckner-Hartree-Fock approximation obtained with various modern nucleon-nucleon potentials of high precision. We point out qualitative differences between the potentials and elucidate the consequences for momentum distributions, defect functions, and convergence of the hole-line expansion. The important role of the tensor force is emphasized.

Figure 1

Top panel: Momentum distributions $n\left(k\right)$ at different densities (${\rho }_0=0.17{\text{fm}}^{-3}$) for different potentials. Bottom panel: The weighted deviations from the bare Fermi distribution $n_0\left(k\right)=\theta (k_F-k)$.

Figure 2

Top panel: Average depletion of the momentum distribution, Eq. (7), as a function of density for different potentials. Bottom panel: Saturation curves of symmetric nuclear matter in the BHF approximation for different potentials.

Figure 3

${}^1{S}_0$ (upper panels) and ${}^{3}S{D}_1$ (lower panels) defect functions at different densities (${\rho }_0=0.17{\text{fm}}^{-3}$) for different potentials. The vertical dashed lines indicate the interparticle distance $d\equiv {\rho }^{-1/3}$.

Figure 4

Partial-wave contributions to the correlation parameter for the V18 (upper panel), CDBonn (central panel), and N3LO450 (lower panel) potentials.