Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

The numerical quality of the 3H wave function obtained by the separable expansion method of Ernst, Shakin, and Thaler is examined. Separable approximations to the Paris potential with increasing accuracy are used in the 1S0 and 3S1-3D1 partial waves to calculate the binding energy, wave function, wave-function component percentages, and the S- and D-wave asymptotic normalization constants of 3H. The results are compared with existing five-channel calculations obtained directly (without expansion) from the Paris potential to determine convergence. It is found that the results converge rapidly to the right values, indicating that the 3H wave function thus obtained is of high quality and essentially indistinguishable from that obtained directly from the Paris interaction. (authors)