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Inclusive radiative decays $B_c\to\gamma u\bar{d}$ are considered. It isshown that photon emission allows one to bypass the chiral suppression andleads the increase of the branching fraction by about four orders of magnitude.The estimates of exclusive decay branching fractions of $B_c$ meson intodifferent sets of $\pi$ mesons are also given.

Radiative $B_c$ meson decays $B_c \to \gamma u\bar{d}$