2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225589The errors in the arguments, numerical results, and conclusions in the paper "Test of a modified BCS theory performance in the picket fence model" [Nucl. Phys. A 822 (2009) 1] by V.Yu. Ponomarev and A.I. Vdovin are pointed out. Its repetitions of already published material are also discussed.This version updates Ref. [9] and corrects a typo in Eq. (3)Nuclear Theorytext