ASYMPTOTIC NORMALIZATION PARAMETER OF THE TRITON

On the basis of exact separable potential calculations, we show that there is a significant variation of the asymptotic normalization parameter Ct2 of the triton with its binding energy. We present a partial wave dispersion relation technique for determining this parameter from the triton energy, the doublet n-d scattering length, the doublet, s-wave, n-d inelasticities, and the two-nucleon, on-shell scattering amplitudes. We test the method and find it to be accurate and stable with only low-energy information used as input. For a doublet scattering length of 0.65 fm we obtain Ct2=3.3±0.1, where the error limits are determined from uncertainties in the inelasticities and the analytic continuation of the two-nucleon amplitudes to negative energies. NUCLEAR REACTIONS exact separable potential calculations; partial wave dispersion relations for n-d elastic scattering amplitudes. © 1979 The American Physical Society.