Abstract
A solution of the Bateman equations for two identical decay constants (λj = λm) of levels in the cascade is proposed. The solution involves a complementary multiplicative linear dependence on time. This solution is the convergence limit of the population function of the lower level m when λj → λm. It represents an additional tool for dealing with specific cases. The propagation of the effect down the level scheme is investigated but no further complications in the functional time-dependence exist. Lifetimes of levels with not completely known feeding history are suggested to be more reliably determined by the method of the moments (expectation values, centroids) than by data fitting.
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