Trinucleon asymptotic normalization constants: Comparison ofHe3andH3

Calculations of the trinucleon S- and D-wave asymptotic normalization constants, with and without Coulomb effects, are extended to include all two-body partial waves up to j≤4 (34 three-body channels). Wave functions were generated with configuration-space, Faddeev-type equations for Hamiltonians based upon the two-body forces of Reid and the Argonne group, plus the Tucson-Melbourne and Brazilian model three-body forces. Comparison with previously published results is made. Results for $C_S$, $C_D$, η, and $D_2$ are interpolated as a function of binding to extract best estimates for ${}_{}{}^3{}_{}{}^{}\mathrm{H}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{He}$. In agreement with our earlier (j<=1) calculations, we find that Coulomb effects increase the S-wave asymptotic normalization of ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ by less than 1% over that of ${}_{}{}^3{}_{}{}^{}\mathrm{H}$ and that Coulomb effects decrease the D-wave asymptotic normalization of ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ relative to that of ${}_{}{}^3{}_{}{}^{}\mathrm{H}$ by about 6%. The distorted-wave Born approximation D-wave parameter $D_2^C$ for ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ is almost identical to $D_2$ for ${}_{}{}^3{}_{}{}^{}\mathrm{H}$. Finally, we predict the ratio of the the D-wave to S-wave asymptotic normalization constants to be η${(}^3$H)≃0.046 and ${\eta }^C$ ${(}^3$He)≃0.043. .AE