Abstract
The weak decay process of varOmega _c to varXi is calculated in the method of QCD light-cone sum rule. The decay width of varOmega _c^0 rightarrow varXi ^- l^+ nu _l and its decay branching ratio are also calculated with the form factors from this work’s calculation. To the twist-6 distribution amplitudes, the form factors f_1=0.66pm 0.02, f_2=-0.76pm 0.03, g_1=0.06pm 0.01 and g_2=-0.44pm 0.01 are given at zero recoil point. The result of the semileptonic decay width of varOmega _c^0 rightarrow varXi ^-l^+nu _l is varGamma =(7.51pm 0.36)times 10^{-15}~mathrm{{GeV}} , and the prediction of the decay branching ratio Br(varOmega _c^0rightarrow varXi ^-l^+nu _l)=(3.06pm 0.15)times 10^{-3}. These results fit well with other works, and the decay width and branching ratio are improved. This not too small branching ratio gives a good direction to explore this decay channel in the future experiments.
Highlights
Many new experimental results of Ωc0 baryon have been developed. The lifetime has been updated by LHCb and a new value τ (Ωc0) = (268 ± 24 ± 10 ± 2) × 10−15 s [1] is given, about five times larger than the old measurements [2,3,4]
In recent years, many new experimental results of Ωc0 baryon have been developed
The other possible decay channel c → dl+νl is not forbidden in the standard model, which was observed in D+ → ημ+νμ semileptonic decay by BESIII collaboration recently and gives a new value of CKM element |Vcd | = 0.242 [9]
Summary
Many new experimental results of Ωc0 baryon have been developed. The lifetime has been updated by LHCb and a new value τ (Ωc0) = (268 ± 24 ± 10 ± 2) × 10−15 s [1] is given, about five times larger than the old measurements [2,3,4]. We will evaluate our work from baryon and weak currents and estimate the semileptonic decay width with the new result of Ωc0 baryon lifetime. The light-cone sum rule starts from the current algebra structure of hadrons, and is evaluated with analytical methods, and gives the hadron transition matrix element with form factors in theoretical expressions.
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