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The Re-Analysis of the 1700 MeV Structure of the P 11 Partial Wave Using the πN → KΛ Production Data

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Abstract.

We have used the Breit-Wigner resonance model with S 11, P 11, and P 13 resonances in the s-channel to reanalyze the old πN → KΛ data with the aim to establish the origin of the prominent structure in the total cross section in the vicinity of 1700 MeV. We have found a new set of resonance parameters enforcing the experimentally observed structure of the total cross-section data simultaneously with the linear dependence of the differential cross sections with cos θ in the energy range 1650 MeV < W < 1800 MeV. Owing to the differential cross-section linearity, the P 13 partial wave has been strongly attenuated in this model, and the total cross-section structure is attributed to the resonant behavior of the P 11 partial wave. In this paper we show that, at least in the Breit-Wigner resonance model, it is not possible to achieve a detailed reproduction of the narrow 1700 MeV total cross-section peak using the standard partial widths. To understand the phenomenon, a much narrower width of a resonant state, the N(1710) P 11 in our case, is required (Γ ≈ 68 MeV), but then the agreement of the model predictions with the total cross-section data at higher energies is lost. One way out is to allow for the existence of another P 11 resonance in that energy range. The same feature is shown by the polarization data: The introduction of a much narrower resonance spoils the level of agreement which the Breit-Wigner resonance model is able to achieve with experiment, but the consistency is restored when another resonance is introduced. Analyzing the qqq or qqqq \(\bar{q}\) nature of the recommended narrow P 11 structure in the neighborhood of 1700 MeV we reopen (remind of) the possibility that another P 11 resonant state exists in addition to the standard N(1710) P 11 PDG-resonance, and that one of the two states can be identified with the yet undiscovered cryptoexotic pentaquark state. To clarify the situation, we strongly recommend a remeasurement of the πN → KΛ process in the energy range 1650 MeV < W < 1800 MeV.

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  1. Rudjer Bošković Institute, Bijenička cesta 54, 10 002, Zagreb, Croatia

    S. Ceci, A. Švarc & B. Zauner

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  1. S. Ceci
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  2. A. Švarc
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  3. B. Zauner
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Ceci, S., Švarc, A. & Zauner, B. The Re-Analysis of the 1700 MeV Structure of the P 11 Partial Wave Using the πN → KΛ Production Data. Few-Body Systems 39, 27–43 (2006). https://doi.org/10.1007/s00601-006-0153-3

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  • DOI: https://doi.org/10.1007/s00601-006-0153-3

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