Alpha-particle binding energies for realistic nucleon-nucleon interactions.

Abstract

The four-nucleon Yakubovsky equations are solved precisely for various realistic NN interactions. The resulting binding energies underbind the \ensuremath{\alpha} particle by about 1 to 5 MeV. The one-boson-exchange NN potentials with smallest deuteron d-state probabilities provide the strongest binding. Within the group of NN-force models used the 3N and 4N binding energies are strongly correlated. The probabilities to find two nucleons at a distance r are compared to each other in the deuteron, the triton, and the \ensuremath{\alpha} particle.