Variation in Trinucleon Bound-State Properties with Phase-Equivalent Nucleon-Nucleon Interactions

We use the Faddeev formalism to investigate the variation of the trinucleon binding energy and electromagnetic form factors with phase-equivalent transformations of the Reid softcore potential. The transformed nucleon-nucleon interactions used in our calculations are the same as, or slight variations of, those considered by Haftel and Tabakin in studies of nuclear matter. The corresponding transformed two-nucleon wave functions are essentially unchanged for nucleon separations greater than 1 fm. The variation of the trinucleon binding energy follows the same trend as (but is generally much smaller than) the corresponding variation of $\frac{E_B}{A}$ for nuclear matter. The largest increase in $E_B$ (trinucleon) is 0.19 MeV, which gives $E_B\left(\mathrm{total}\right)\approx 6.9$ MeV. The position of the minimum of the calculated $\left|F_{\mathrm{ch}}^{{}_{}{}^3{}_{}{}^{}\mathrm{He}}\right(Q^2\left)\right|$ (experimental value: $Q^2\approx {11.8}^{-2\mathrm{}}$) varies between $Q^2=14.4\mathrm{} \mathrm{and} 18$ ${\mathrm{fm}}^{-2\mathrm{}}$.