Effects of Flavor Dependence on Weak Decays of 𝐽/𝜓 and Υ

Table 3

Branching ratios BR₀,BR₋, and BR₊ corresponding to the Helicity amplitudes 𝐻₀ and 𝐻_±1 (in the units of 10⁻¹⁰) of 𝐽/𝜓→𝑃𝑙𝜈 decays.

Decays	𝜔 = 0.40 GeV			Using flavor dependent 𝜔			QCD inspired 𝜔≡𝛼𝑠𝑚
	BR0	BR−	BR+	BR0	BR−	BR+	BR0	BR−	BR+
𝐽/𝜓→𝐷^+𝑒^−𝜈𝑒	0.14	0.076	0.014	0.31±0.04	0.24^+0.04−0.03	0.048^+0.005−0.004	0.31	0.26	0.052
𝐽/𝜓→𝐷^+𝑠𝑒^−𝜈𝑒	2.65	0.11	0.19	6.42±0.40	3.25^+0.42−0.20	0.59^+0.06−0.05	6.40	3.54	0.63
𝐽/𝜓→𝐷^+𝜇^−𝜈𝜇	0.14	0.074	0.013	0.30±0.04	0.24^+0.04−0.03	0.047±0.005	0.30	0.36	0.050
𝐽/𝜓→𝐷^+𝑠𝜇^−𝜈𝜇	2.55	0.10	0.19	6.17±0.41	3.26^+0.33−0.25	0.58^+0.07−0.05	6.14	3.44	0.61