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      Successes and Problems of Chiral Soliton Approach to Exotic Baryons

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          Abstract

          We briefly review the formulation of chiral quark soliton model and explain the difference and similarities with the Skyrme model. Next, we apply the model to calculate non-exotic and exotic mass spectra. We concentrate on large \(N_{c}\) counting both for mass splittings and decay widths. It is shown that pure large \(N_{c}\) arguments do not explain the small width of exotic pentaquark states.

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          Chiral-Soliton Predictions for Exotic Baryons

          John Ellis, Michal Praszalowicz, Marek Karliner (2004)
          We re-analyze the predictions of chiral-soliton models for the masses and decay widths of baryons in the exotic antidecuplet of flavour SU(3). The calculated ranges of the chiral-soliton moment of inertia and the \pi-nucleon scattering \Sigma term are used together with the observed baryon octet and decuplet mass splittings to estimate 1430 MeV < m_{\Theta^+} < 1660 MeV} and 1790 MeV < m_{\Xi^{--}} < 1970 MeV. These are consistent with the masses reported recently, but more precise predictions rely on ambiguous identifications of non-exotic baryon resonances. The overall decay rates of antidecuplet states are sensitive to the singlet axial-current matrix element in the nucleon. Taking this from polarized deep-inelastic scattering experiments, we find a suppression of the total \Theta^+ and \Xi^{--} decay widths that may not be sufficient by itself to reproduce the narrow widths required by experiments. We calculate SU(3) breaking effects due to representation mixing and find that they tend to suppress the \Theta^+ decay width, while enhancing that of the \Xi^{--}. We predict light masses for some exotic 27 baryons, including the I=1, J^P={3/2}^+ \Theta^+ and I=3/2, J^P={3/2}^+ \Xi multiplets, and calculate their decay widths.
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            Publication date Created: 05 June 2005
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            ArXiV ID: hep-ph/0506041
            SO-VID: 42c8c96d-9c7a-44c1-b901-4940a8814cba
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            Journal reference Acta Phys.Polon. B36 (2005) 2255-2270
            Comments Presented at the Cracow Epiphany Conference on Hadron Spectroscopy, Cracow, Poland, January 6-8, 2005
            Categories hep-ph

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