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The regular perturbation method for the strong-coupling bipolaron is developed systematically. The ground-state energy of a bipolaron is calculated by the variational method as a function of the Frohlich coupling constants alpha and eta , the ratio of the optic to the static dielectric constant. It is found that the bipolaron is stable in a broad region of eta . The estimated upper bound of eta turns out to be 0.165.
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Satyabrata Sahoo (1995) studied this question.
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