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Weak Decays of $J/\psi$ and $\Upsilon(1S)$
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abstract
In this paper we study the weak decays of $J/\psi$ and $\Upsilon(1S)$. Using the Bethe-Salpeter method, we calculate the hadronic transition amplitude and give the form factors. We find that two new form factors $h_1$ and $h_2$, which do not appear in existing literature, have contributions in $1^-\to 1^-$ decays. They affect the branching ratios of semi-leptonic and non-leptonic decays by the rate of $3\%\sim6\%$ and $2\%\sim14\%$, respectively, so their contributions can not be ignored and should be considered. Our results show that, for the semi-leptonic decay modes, the largest branching ratios are of the order of $10^{-10}$ both for $J/\psi$ and $\Upsilon(1S)$ decays, and the largest branching ratios of non-leptonic decays are of the order of $10^{-9}$ for $J/\psi$ and $10^{-10}$ for $\Upsilon(1S)$.
Forward citations
Cited by 2 Pith papers
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The $\Upsilon(nS) \to B_{(c)}$ transition form factors and their applications to semileptonic and nonleptonic weak decays
The authors use the covariant light-front quark model to predict branching ratios of order 10^-9 to 10^-15 for weak Υ(1S-4S) → B/B_c decays, with Υ(3S) → B_c ℓν the largest.
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Polarization observables in semileptonic $V\to P$ decays of quarkonia
Using the helicity amplitude method, the authors derive the angular distribution for vector-to-pseudoscalar semileptonic decays and predict polarization observables for J/psi and Upsilon(1S) channels.
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