Partly Non-local Potentials in the Model Triton

Abstract

<p>Properties of the model triton have been calculated for two classes of phase equivalent potentials. The partly non-local (PNL) potentials are an attempt to simulate what we know about the nucleon-nucleon interaction, combining long-range locality with short-range non-locality. Rank-two separable potentials are also used for comparison, being constructed not only phase equivalent to the total interaction, but with the attractive part phase equivalent to the local part of the partly non-local potentials. Triton binding energies, wavefunctions, form factors and asymptotic normalization constants have been calculated for all these potentials. Comparisons are made between the two classes of potentials and other type of phase equivalent potentials. Deuteron, triton and nuclear matter properties are discussed.</p> <p>Both classes of potentials give increasing triton binding energy, ET, as the attractive part of the potential is weakened, with a sharp rise near the limiting condition, when the attractive part of the interaction produces the same binding energy as the complete interaction. In all cases, however, each PNL potential gives 1 to 2 MeV less binding energy than its purely separable counterpart. Two-body properties such as the zero-energy would integral and deuteron wavefunction greatly influence the triton binding energy. The PNL potentials give much more realistic form factors than do the separable potentials although this is due mainly to their lower values of ET. However, none of the potentials reproduce the experimental form factor of ³He near and beyond the diffraction minimum Q²min. There is a strong resemblance of deuteron and triton form factors. The effects of the neutron and proton form factors is discussed. The new observable, the triton asymptotic normalization constant, CT, is not sensitive to changes in the PNL potentials except in the limiting case. It does vary, for the separable potentials, increasing with increasing ET, as the attractive part of the interaction weakens.</p>