Five-body calculation of resonance and scattering states of the uudds̄ system

E. Hiyama; M. Kamimura; A. Hosaka; H. Toki; M. Yahiro

doi:10.1007/s00601-005-0143-x

Five-body calculation of resonance and scattering states of the uudds̄ system

E. Hiyama, M. Kamimura, A. Hosaka, H. Toki, M. Yahiro

Research output: Contribution to journal › Article › peer-review

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Abstract

The scattering problem of the uudds̄ 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 1/2 ⁺ resonance with a width of Γ ∼ 110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2^- resonance with Γ = 0.12∈MeV at 540∈MeV.

Original language	English
Pages (from-to)	91-96
Number of pages	6
Journal	Few-Body Systems
Volume	38
Issue number	2-4
DOIs	https://doi.org/10.1007/s00601-005-0143-x
Publication status	Published - 2006 Jun
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1007/s00601-005-0143-x

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title = "Five-body calculation of resonance and scattering states of the uudd{\=s} system",

abstract = "The scattering problem of the uudd{\=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 1/2 + resonance with a width of Γ ∼ 110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2- resonance with Γ = 0.12∈MeV at 540∈MeV.",

author = "E. Hiyama and M. Kamimura and A. Hosaka and H. Toki and M. Yahiro",

year = "2006",

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doi = "10.1007/s00601-005-0143-x",

language = "English",

volume = "38",

pages = "91--96",

journal = "Few-Body Systems",

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T1 - Five-body calculation of resonance and scattering states of the uudds̄ system

AU - Hiyama, E.

AU - Kamimura, M.

AU - Hosaka, A.

AU - Toki, H.

AU - Yahiro, M.

PY - 2006/6

Y1 - 2006/6

N2 - The scattering problem of the uudds̄ 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 1/2 + resonance with a width of Γ ∼ 110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2- resonance with Γ = 0.12∈MeV at 540∈MeV.

AB - The scattering problem of the uudds̄ 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 1/2 + resonance with a width of Γ ∼ 110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2- resonance with Γ = 0.12∈MeV at 540∈MeV.

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DO - 10.1007/s00601-005-0143-x

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VL - 38

SP - 91

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JO - Few-Body Systems

JF - Few-Body Systems

SN - 0177-7963

IS - 2-4

ER -

Five-body calculation of resonance and scattering states of the uudds̄ system

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