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We discuss the feasibility of the observation of the signal from mesons
in the ATLAS experiment of the LHC collider at a luminosity of ${\approx}
10^{33}^{-2}^{-1}B_c{\rightarrow}J/\psi \piJ/\psi{\rightarrow}\mu^+\mu^-$, which should permit an accurate measurement of
the mass. We performed a Monte Carlo study of the signal and background
concluding that a precision of MeV for the mass could be achieved
after one year of running.

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