  Majorana bound states, with their non-Abelian properties, are candidates for
the realization of fault-tolerant quantum computation. Here we study the
influence of long-range many-body interactions on Majorana zero modes present
in Kitaev chains. We show that these interactions can suppress the lifetime of
the Majorana zero mode. We also discuss the role of long-range interactions on
the Majorana state's spatial structure, and the overlap of the Majorana states
localized at opposite ends of the chain. We have determined that increasing the
interaction strength leads to decreasing of the stability of the Majorana
modes. Moreover, we found out that interaction between particles located at
more distant sites plays a more destructive role than the interaction between
nearest neighbors.
