The observation possibility of $B_c$ excitations at LHC

It is shown that in the decays $B_c(2P)\to B_c^* γ^\mathrm{hard}$, $B_c(3P)\to B_c^* γ^\mathrm{hard}$ and $B_c(2S)\to B_c^* +π^+π^-$ followed by the decay $B_c^*\to B_c +γ^\mathrm{soft}$ the loss of the soft photon $γ^\mathrm{soft}$ do not wash out peaks from the initial excitations. The relative yields of $B_c^*$, 2P-wave, and 3P-wave states of $B_c$ meson at LHC are estimated as function of transverse energy of emitted photon $γ^\mathrm{hard}$. It is pointed out, that the decays $B_c(2S) \to B_c(B_c^*)+π^+π^-$ could provide a new information about a $σ$ resonance nature.

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