Isospin violating decays of vector charmonia

Abstract

We study the isospin violating decays of vector charmonia to $\Lambda {\overline{\Sigma }}^0$ and its charge conjugate. They are dominated by the single photon annihilation and can be evaluated reliably with timelike form factors. We utilize the quark-pair creation model, which is valid for the OZI suppressed decays, to evaluate the form factors. We obtain the branching fractions of $\mathcal{B}(J/\psi \to \Lambda {\overline{\Sigma }}^0+c.c.)=(2.4\pm 0.4)\times 10^{-5}$ and $\mathcal{B}(\psi (2S)\to \Lambda {\overline{\Sigma }}^0+c.c.)=(3.0\pm 0.5)\times 10^{-6}$, which are compatible with the measurements by the BESIII collaborations, respectively. The decay asymmetries are found to be ${\alpha }_{J/\psi }=0.314$ and ${\alpha }_{\psi (2S)}=0.461$, which can be examined at BESIII in the foreseeable future.

15 pages, 3 figures

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