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      Production of \(J/\Psi\) on the nucleon and deuteron targets

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          Abstract

          A coupled-channel model with \(\pi N\), \(\rho N\) and \(J/\Psi N\) channels is developed to predict the \(\pi + N \rightarrow J/\Psi + N \) cross sections. The \(J/\Psi\)-\(N\) interaction is parameterized in a form related to what has been predicted by the effective field theory approach and Lattice QCD. The other interactions within the model are constrained by the decay width of \(J/\Psi \rightarrow \rho + \pi\) and the total cross section data of \(\pi N\) reactions. The calculated meson-baryon amplitudes are then used to predict the cross sections of the \(J/\Psi\) production on the deuteron target by including the contributions from the impulse term and the one-loop calculations of the final \(NN\) and \(J/\Psi N\) re-scattering effects. Predictions of the dependence of the cross sections of \(\pi^- + p \rightarrow J/\Psi+ n\), \(\gamma + d \rightarrow J/\Psi + n + p\), and \(\pi^+ d \rightarrow J/\Psi +p +p\) on the \(J/\Psi\)-\(N\) potentials are presented for experimental determinations of the \(J/\Psi\)-\(N\) interaction. Within the vector meson dominance model, we have also applied the constructed coupled-channel model to predict the \(\gamma + p\rightarrow J/\Psi + p\) cross sections near the \(J/\Psi\) production threshold.

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          Nuclear-bound quarkonium

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            Meson-exchange Model for \(\pi N\) scattering and \(\gamma N -> \pi N\) reaction

            An effective Hamiltonian consisting of bare \(\Delta \leftrightarrow\pi N\), \(\gamma N\) vertex interactions and energy-independent meson-exchange \(\pi N \leftrightarrow \pi N, \gamma N\) transition operators is derived by applying a unitary transformation to a model Lagrangian with \(N,\Delta,\pi\), \(\rho\), \(\omega\), and \(\gamma\) fields. With appropraite phenomenological form factors and coupling constants for \(\rho\) and \(\Delta\), the model can give a good description of \(\pi N\) scattering phase shifts up to the \(\Delta\) excitation energy region. It is shown that the best reproduction of the recent LEGS data of the photon-asymmetry ratios in \(\gamma p \rightarrow \pi ^0 p\) reactions provides rather restricted constraints on the coupling strengths \(G_E\) of the electric \(E2\) and \(G_M\) of the magnetic \(M1\) transitions of the bare \(\Delta \leftrightarrow \gamma N\) vertex and the less well-determined coupling constant \(g_{\omega NN}\) of \(\omega\) meson. Within the ranges that \(G_M = 1.9 \pm 0.05\), \(G_E = 0.0 \pm 0.025\), and \(7 \leq g_{\omega NN}\leq 10.5\), the predicted differential cross sections and photon-asymmetry ratios are in an overall good agreement with the data of \(\gamma p \rightarrow \pi ^0 p\), \(\gamma p \rightarrow \pi ^+ n\), and \(\gamma n\rightarrow \pi ^- p\) reactions from 180 MeV to the \(\Delta\) excitation region. The predicted \(M_{1^+}\) and \(E_{1^+}\) multipole amplitudes are also in good agreement with the empirical values determined by the amplitude analyses. The constructed effective Hamiltonian is free of the nucleon renormlization problem and hence is suitable for nuclear many-body calculations. We have also shown that the assumptions made in the \(K\)-matrix method, commonly used in extracting empirically the \(\gamma N \rightarrow \Delta\) transition amplitudes from the data, are consistent with
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              \(\frac{J}{\psi }\)Photoproduction from 60 to 300 GeV/c

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                Author and article information

                Journal
                20 March 2013
                Article
                10.1103/PhysRevC.88.015205
                1303.4967
                19cb619e-b7dc-49ec-b42a-e35433bd90c4

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                21 pages, 12 figures
                nucl-th nucl-ex

                Nuclear physics
                Nuclear physics

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