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By means of muon catalysis we study the phenomena in a pt-fusion, which have been previously investigated in the only experiment and now are at the frontier of nuclear few-body physics. The experiment is aimed at measuring the yields of the reaction products: γ-quanta, conversion muons and e ⁺ e ⁻ pairs. As a result we plan to measure the pt-fusion partial product yields (first time for e ⁺ e ⁻ pairs) with accuracy not worse than 10%, and this will enable us to obtain the nuclear reaction rates in M1 and E0 transitions in A = 4 system.