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A Study of the Roper Resonance as a Hybrid State from $J/ψ$ Decays

R. G. Ping·H. Q. Chiang·B. S. Zou
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Abstract

The structure of the Roper resonance as a hybrid baryon is investigated through studying the transitional amplitudes in J/psi-> p\barN*, N*\barN* decays. We begin with perturbative QCD to describe the dynamical process for the J/psi-> 3\bar q+3q decay to the lowest order of α_s, and by extending the modified quark creation model to the J/psi energy region to describe the J/psi-> 3\bar q+3q +g process. The non-perturbative effects are incorporated by a simple quark model of baryons to evaluate the angular distribution parameters and decay widths for the processes J/psi-> pbar N*,N*bar N*. From fitting the decay width of J/psi->gamma p pbar to the experimental data, we extract the quark-pair creation strength g_I=15.40 GeV. Our numerical results for J/psi->pbar N*,N* bar N* decays show that the branching ratios for these decays are quite different if the Roper resonance is assumed to be a common $3q$ state or a pure hybrid state. For testing its mixing properties, we present a scheme to construct the Roper wave function by mixing |qqqg> state with a normal |qqq,2s> state. Under this picture, the ratios of the decay widths to that of the J/psi->p pbar decay are re-evaluated versus the mixing parameter. A test of the hybrid nature of the Roper resonance in J/psi decays is discussed.

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R. G. Ping, H. Q. Chiang, B. S. Zou. 2004-08-02. A Study of the Roper Resonance as a Hybrid State from $J/ψ$ Decays. https://doi.org/10.1016/j.nuclphysa.2004.07.004

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