Photo-production of Bound States with Hidden Charms

Abstract

The photo-production of $J/\Psi$-${}^{3}He$ bound state (${[}^{3}He{]}_{J/\Psi }$) on a ${}^{4}He$ target has been investigated using the impulse approximation. The calculations have been performed using several $\gamma +N\to J/\Psi +N$ models based on the Pomeron-exchange and accounting for the pion-exchange mechanism at low energies. The $J/\Psi$ wavefunctions in ${[}^{3}He{]}_{J/\Psi }$ are generated from various $J/\Psi$-nucleus potentials which are constructed by either using a procedure based on the Pomeron-quark coupling mechanism or folding a $J/\Psi$-N potential ($v_{J/\Psi ,N}$) into the nuclear densities. We consider $v_{J/\Psi ,N}$ derived from the effective field theory approach, Lattice QCD, and Pomeron-quark coupling mechanism. The upper bound of the predicted total cross sections is about $0.1-0.3$ pico-barn. We also consider the possibility of photo-production of a six quark-$J/\Psi$ bound state ($[q^6{]}_{J/\Psi })$ on the ${}^{3}He$ target. The Compound Bag Model of $NN$ scattering and the quark cluster model of nuclei are used to estimate the $[q^6]$-N wavefunction in ${}^{3}He$ by imposing the condition that the calculated ${}^{3}He$ charge form factor must be consistent with what is predicted by the conventional nuclear model. The upper bound of the predicted total cross sections of $\gamma {+}^{3}He\to [q^6{]}_{J/\Psi }+N$ is about 2 - 4 pico-barn, depending on the model of $\gamma +N\to J/\Psi +N$ used in the calculations. Our results call for the need of precise measurements of $\gamma +p\to J/\Psi +p$ and also the $\gamma {+}^{2}H\to J/\Psi +n+p$ reactions near the threshold.

23 pages, 11 figures

References in corpus (1)

• Charmonium-nucleon potential from lattice QCD

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