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The properties of the intramolecular vibrational excitation (vibron) in aquasi 1D macromolecular structure are studied. It is supposed that due to thevibron interaction with optical phonon modes, a vibron might form partiallydressed small polaron states. The properties of these states are investigatedin dependence on the basic system parameters and temperature of a thermal bath.We also investigate the process of damping of the polaron amplitude as afunction of temperature and vibron-phonon coupling strength. Two differentregimes of the polaron damping are found and discussed.

On the vibron-polaron damping in quasi 1D macromolecular chains