A variational method is used to calculate the $S$-state triton binding energy using four phase equivalent $\delta$-function interactions of the form $V_{\mathrm{LJST}}\mathrm{}\left(r\right)=\Sigma i^{}\left(\frac{v_i}{r_i}\right)\delta (r-r_i)$. An average of the ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}$ and ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ interactions is used with a completely symmetric $S$-state triton variational wave function. We find an $S$-state binding energy for the triton of less than 1 MeV for the two hard-core potentials and 5-6 MeV for the two soft-core potentials. Comparison with Faddeev calculations is given.

NUCLEAR STRUCTURE $S$-state triton binding energy with phase equivalent $\delta$-function potentials.

• Received 21 July 1975

DOI:https://doi.org/10.1103/PhysRevC.13.2556