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The paper is a reply to the arguments adduced by the authors of Ref.[arXiv:1204.4142] against the results obtained by the author in Refs. [6,7]. Itis shown that these arguments are based on the erroneous approach made in Ref.[arXiv:1204.4142] to the strong coupling limit when the cutoff parameter isintroduced in the theory.

solid state communications

On the cutoff parameter in the translation-invariant theory of the  strong coupling polaron. (response to comments [arXiv:1204.4142] on the paper  V. D. Lakhno, SSC, 152, (2012), 621)