4He binding energy calculation including full tensor-force effects.

Abstract

The four-body equations of Alt, Grassberger, and Sandhas are solved in the version where the (2)+(2) subamplitudes are treated exactly by convolution, using one-term separable Yamaguchy nucleon-nucleon potentials in the $^{1}\mathrm{S}_{0}$ and $^{3}\mathrm{S}_{1}$${\mathrm{\ensuremath{-}}}^{3}$${\mathrm{D}}_{1}$ channels. The resulting ${j}^{p}$${=1/2}^{+}$ and ${(3/2}^{+}$ three-body subamplitudes are represented in a separable form using the energy-dependent pole expansion. Converged bound-state results are calculated for the first time using the full interaction, and are compared with those obtained from a simplified treatment of the tensor force. The Tjon line that correlates three-nucleon and four-nucleon binding energies is shown using different nucleon-nucleon potentials. In all calculations the Coulomb force has been neglected.