A three-centre phenomenological model, able to explain qualitatively the recently obtained experimental results concerning the quasimolecular stage of a light-particle accompanied fission process, was developed. A new minimum of a short-lived molecular state appears in the deformation energy at a separation distance very close to the touching point. The influence of the shell effects is discussed. The half-lives of some quasimolecular states which could be formed in the Be-10 and C-12 accompanied fission of Cf-252 are roughly estimated to be the order of 1 ns, and 1 ms, respectively. [References: 20]
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