Energy-dependent pole expansions for the effective potentials in the four-body integral equations with tensor forces

We investigate the accuracy of the energy-dependent pole expansion for the (3+1) and (2+2) subamplitudes in the calculation of the binding energy of the α particle, E/sub α/, for separable NN potentials with tensor components. We employ the truncated t-matrix (t00) approximation and compare our results for E/sub α/ to those obtained, independent of any separable expansion, by Gibson and Lehman and to the results for E/sub α/ obtained with the Hilbert-Schmidt expansion of the subamplitudes. It is shown that the energy-dependent pole expansion is both more economical and converges faster than the Hilbert-Schmidt expansion, even one term of the energy-dependent pole approximation already being accurate to better than 1.5%