Three-nucleon ground-state properties derived from the soft-core reid potential

Abstract

The three-nucleon ground state properties are computed using all partial waves of the soft-core Reid potential. A linear variational calculation is carried out in a translationally invariant basis of harmonic oscillator functions having definite orbital particle permutation symmetry and having a definite orbital angular momentum. The basis includes the symmetric S and the mixed symmetry S' and D states and includes up to 4654 linear variational parameters. Computations are presented for the binding energy, the rms charge radius and the electric form factor in the single impulse approximation. The resulting upper bound for the 3H binding energy is −6.7 MeV. The resulting 3He electric form factor has its first diffraction minimum at q 0 2 = 12.6 fm −2.