OPEN INFLATION WITH AN ARBITRARY FALSE VACUUM MASS

We calculate the power spectrum of adiabatic density perturbations in an open inflationary model in which inflation occurs in two stages. Fi rst an epoch of old inflation creates a large, smooth universe, solvin g the horizon and homogeneity problems. Then an open universe emerges through the nucleation of a single bubble, with constant density hyper surfaces inside the bubble having constant negative spatial curvature. An epoch of ''slow roll'' inflation, shortened to give Omega(0) < 1 t oday, occurs within the bubble, which contains our entire observable u niverse. In this paper we compute the resulting density perturbations in the same ''new thin wall'' approximation used in a previous paper, but for an arbitrary positive mass of the inflation field in the false vacuum satisfying m(2)/H-2 greater than or equal to 2 where H is the Hubble constant during old inflation.