New method for triton calculations in momentum space

A new method for a solution of the bound-state Faddeev equations in momentum space is presented. The method takes advantage of an expansion of the Faddeev amplitude into a suitable set of basis states and uses the potential directly. To demonstrate the practicability we have recalculated the triton binding energy for the Reid soft-core potential including all partial waves up to a maximal subsystem angular momentum $j=2\mathrm{}$. We found $E_B=-7.56\mathrm{}\pm 0.10$ MeV. The Reid potential truncated to the ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ and ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}-{}_{}{}^3{}_{}{}^{}D_1^{}{}_{}{}^{}$ states yields $E_B=-7.53\mathrm{}\pm 0.08$ MeV.