Abstract
In present work we study the production of ground and excited charmonium pairs in \(e^{-} e^{+} \rightarrow {\Psi }(nS)+ \chi _{cJ}(nP)\) for J = 0,1 and n = 1,2, through leading order (LO) tree-level diagrams \(\sim O(\alpha _{em} \alpha _{s})\), which proceed through exchange of a virtual photon and an internal gluon line connecting two quark lines (in the triangle quark loop part of the diagram), in the framework of 4 × 4 Bethe-Salpeter equation, at center of mass energy, \(\sqrt {s}=10.6 GeV.\) We have tried to show that the cross sections for this process calculated with use of the four leading order \(\sim O(\alpha _{em} \alpha _{s})\) diagrams using BSE approach come close to experimental data, which might be mainly due to the consistent treatment of motion of quarks inside the hadrons in the BSE framework.
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Acknowledgements
We thank Department of Physics, Chandigarh University for the facilities provided during the course of this work. One of us, TA was involved in the first problem on \(e^{-}e^{+}\rightarrow J/{\Psi } \chi _{c0}\) while VG was involved in the second problem on \(e^{-}e^{+}\rightarrow J/{\Psi } \chi _{c1}\) in place of the Acknowledgement in the Page proofs.
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Bhatnagar, S., Aruja, T. & Guleria, V. J/Ψ and χcJ(J = 0, 1) Production in Electron-Positron Annihilation at \(\sqrt {s}=10.6\) GeV in the Framework Of Bethe-Salpeter Equation. Int J Theor Phys 61, 211 (2022). https://doi.org/10.1007/s10773-022-05183-x
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DOI: https://doi.org/10.1007/s10773-022-05183-x