Rank two bundles on P^n with isolated cohomology

The purpose of this paper is to study minimal monads associated to a rank two vector bundle (Formula presented.) on (Formula presented.). In particular, we study situations where (Formula presented.) has (Formula presented.) for (Formula presented.), except for one pair of values (Formula presented.). We show that on (Formula presented.), if (Formula presented.), then (Formula presented.) must be decomposable. More generally, we show that for (Formula presented.), there is no indecomposable bundle (Formula presented.) for which all intermediate cohomology modules except for (Formula presented.) are zero