Abstract
Results of calculations on the three-nucleon system are presented for two potentials: a spin-dependent square well potential acting in waves, and a spin-dependent rank-one separable potential, which gives exactly the same -wave phase shifts and deuteron binding energy as the square well. Significant differences between the matrices arising from these potentials occur as soon as one goes off the energy shell by 40 or 50 MeV (c.m.). In the three-nucleon system the square well produces a triton binding energy of 9.11 MeV, a doublet scattering length of 0.414 fm, and quartet scattering length of 6.31 fm. The corresponding parameters for the separable potential are 9.92 MeV, -0.165 fm, and 6.33 fm. The results of calculations on the doublet and quartet -wave elastic scattering amplitudes are presented for neutron lab energies up to 14.1 MeV. It is found that the doublet amplitudes are quite sensitive to off-shell effects, while the quartet amplitudes are not. A previously developed off-shell effective range theory for the half-off-shell matrix is extended to the fully-off-shell case.
- Received 29 June 1972
DOI:https://doi.org/10.1103/PhysRevC.6.1956
©1972 American Physical Society