Abstract
The inhomogeneous Bethe–Salpeter equation describing the zero-energy scattering of a system composed by two massive scalars exchanging a massive scalar is numerically investigated in ladder approximation, directly in Minkowski space. The solution is obtained by using the Nakanishi integral representation, as performed in Frederico et al. (Phys Rev D 89:016010, 2014) where the method was successfully applied to bound states. The scattering lengths are quantitatively investigated and the results compared with the corresponding ones present in literature.
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