The characteristic alpha-particle spectra from the decay of intermediate states in α+ 28 Si (32 S) to the silicon ground state have been measured during the bombardment of thick targets. The α-spectra were measured in backward angles for the determination of the spins of the states formed in elastic alpha scattering. The level spectra have been investigated in terms of a nonlinear Lagrangean which gives a quantum analogue to the classical large amplitude collective motion in nuclei, succesfully used for the evaluation of the preformation factor in alpha and cluster decays. The corresponding Hamiltonian becomes diagonal with a spectrum similar to a sum of harmonic oscillator spectra. In this way new quantum numbers are introduced. The present model not only reproduces the observed levels but predicts also positions and spins of other levels of the quasimolecular spectra. Both even and odd parities are reproduced using the same parameters.
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