  We compute the radiative ro-vibrational emission spectrum of H2 involving
quasibound states via a simple numerical method of resolution of the
Schr\"odinger equation by introducing a modifed effective molecular potential.
The comparison of the eigenvalues obtained with our approximation and other
theoretical methods based on scattering resonance properties is excellent.
Electric quadrupole and magnetic dipole contributions are calculated and we
confirm the previous computations of Forrey of the electric quadrupole
transition Einstein coeffcients. The astrophysical relevance of such quasibound
levels is emphasized
