Trinucleon Bound-State Properties from an Exact Solution of the Faddeev Equations with Realistic Nuclear Forces

Abstract

The trinucleon bound-state energy, wave function, and charge form factor are calculated from a direct solution of the complete set of Faddeev equations. The nucleon-nucleon interaction (effective in the $^{1}S_{0}$ and $^{3}S_{1}\ensuremath{-}^{3}D_{1}$ states) is given by the Reid soft-core potential. We find ${E}_{B}=6.7$ MeV, $P(S)=89.7%$, $P({S}^{\ensuremath{'}})=1.7%$, and $P(D)=8.6%$. $|{{F}_{\mathrm{Ch}}}^{^{3}\mathrm{He}}({Q}^{2})|$ (calculated) is similar to the approximate result of Tjon, Gibson, and O'Connell, and has a minimum at ${Q}^{2}=15.5$ ${\mathrm{fm}}^{\ensuremath{-}2}$.