A new integral formalism for calculating the decay widths of quasistat
ionary states is constructed without recourse to the assumption that a
barrier-penetrability factor is small. The method of steepest descent
is used to obtain asymptotic expressions for the widths of short-live
d quasistationary states. On the basis of these expressions, the width
s of Pb nuclei and of baryon and dibaryon resonances are calculated wi
thin a unified approach. The theory is shown to be in fairly goad agre
ement with experimental data. A natural explanation is given for the s
mallness of the widths of low-lying resonances.