  The inclusion of long-range couplings in the Kitaev chain is shown to modify
the universal scaling of topological states close to the critical point. By
means of the scattering approach, we prove that the Majorana states
\textit{soften}, becoming increasingly delocalised at a universal rate which is
only determined by the interaction range. This edge mechanism can be related to
a change in the value of the bulk topological index at criticality, upon
careful redefinition of the latter. The critical point turns out to be
topologically akin to the trivial phase rather than interpolating between the
two phases. Our treatment moreover showcases how various topological aspects of
quantum models can be investigated analytically.
