COMPARISON OF DOUBLE-INFLATIONARY MODELS WITH OBSERVATIONS

We consider double-inflationary models with two noninteracting scalar fields: a ''light'' scalar held phi l with the potential 1/2m(l)(2) ph i(l)(2) and a ''heavy'' scalar field phi(h) with the potential lambda/ n phi(h)(n), n = 2, 4, n = 2,4, whose effective mass is larger than ml during inflation with phi(h) > M(p). Cold dark matter (CDM) with the initial spectrum of adiabatic perturbations produced in these models i s compared with observations. These models contain two more free param eters than the standard CDM model with an initial scale-invariant spec trum. We normalize our spectra to the COBE DMR and compare the predict ions with observations on the biasing factor, large-scale peculiar vel ocities, quasar and galaxy formation, and the Stromlo-APM counts-in-ce lls analysis. The model with n = 4 is excluded by the data while for t he n = 2 model, taking cosmic variance into account, a small window of parameters compatible with observations is found.