The Lippman-Schwinger equation for two-nucleon scattering
where \( \delta \) is the Kronecker \( \delta \)
and
$$
u_j=\frac{2}{\pi}\frac{\omega_jk_j^2}{(k_0^2-k_j^2)/m}\hspace{1cm} j=1,N
$$
and
$$
u_{N+1}=-\frac{2}{\pi}\sum_{j=1}^N\frac{k_0^2\omega_j}{(k_0^2-k_j^2)/m}.
$$