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Five-Body Calculation of Resonance and Scattering States of the \(uudd\bar{s}\) System

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Abstract.

The scattering problem of the \(uudd\bar{s}\) system, in the standard non-relativistic quark model of Isgur-Karl, is solved for the first time, by treating the large five-body model space, including the NK scattering channel, accurately with the Gaussian expansion method and the Kohn-type coupled-channel variational method. The calculated NK scattering phase shift shows no resonance in the energy region of the reported pentaquark Θ+(1540) that is, at 0–500 MeV above the NK threshold (1.4–1.9 GeV in mass). The phase shift does show two resonances just above 500 MeV: a broad \(\frac{1}{2}\)+ resonance with a width of Γ ∼ 110 MeV located at ∼ 520 MeV (∼ 2.0 GeV in mass) and a sharp \(\frac{1}{2}\)− resonance with Γ = 0.12 MeV at 540 MeV.

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Authors and Affiliations

  1. Department of Physics, Nara Women’s University, 630-8506, Nara, Japan

    E. Hiyama

  2. Department of Physics, Kyushu University, 812-8581, Fukuoka, Japan

    M. Kamimura & M. Yahiro

  3. Research Center for Nuclear Physics (RCNP), Osaka University, 567-0047, Ibaraki, Japan

    A. Hosaka & H. Toki

Authors
  1. E. Hiyama
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  2. M. Kamimura
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  3. A. Hosaka
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  4. H. Toki
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  5. M. Yahiro
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Hiyama, E., Kamimura, M., Hosaka, A. et al. Five-Body Calculation of Resonance and Scattering States of the \(uudd\bar{s}\) System. Few-Body Systems 38, 91–96 (2006). https://doi.org/10.1007/s00601-005-0143-x

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  • DOI: https://doi.org/10.1007/s00601-005-0143-x

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