  We consider classical Minkowskian solutions to the field equation in the
(1+1) dimensional scalar model with the exponential interaction that describe
the unsuppressed false vacuum decay induced by $n$ initial particles. We find
that there is a critical value of $n$ below which there are no such solutions,
i.e., the vacuum decay is always suppressed. For the number of initial
particles larger than this value the vacuum decay is unsuppressed at high
enough energies.
