A finite-time QFT treatment removes the t-channel singularity that appears when an unstable particle scatters off another particle.
In the case of N ∗πscattering, when the neutron is considered as the exchanged particle, the infinity is cured by the fact that the neutron has a nonzero width
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Scattering off unstable states
A finite-time QFT treatment removes the t-channel singularity that appears when an unstable particle scatters off another particle.