TY - JOUR
T1 - Five-body calculation of resonance and scattering states of pentaquark system
AU - Hiyama, E.
AU - Kamimura, M.
AU - Hosaka, A.
AU - Toki, H.
AU - Yahiro, M.
N1 - Funding Information:
The authors would like to thank Prof. M. Oka, Prof. H. Suganuma, Prof. M. Ohbu and Prof. M. Tanifuji for helpful discussions. This work has been supported in part by the Grant-in-Aid for Scientific Research (14540271) of Monbukagakushou of Japan and by the Nara Women's University Intramural Grant for Project Research (E.H.). A.H. is supported by the Grant for Scientific Research ((C) No. 16540252) from the Ministry of Education, Culture, Science and Technology, Japan. The numerical calculations were done on FUJITSU VPP5000 at JAERI.
PY - 2006/2/9
Y1 - 2006/2/9
N2 - Scattering problem of the uudds̄ system in the standard nonrelativistic 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 two-body interaction that reproduces observed properties of ordinary baryons and mesons is applied to the pentaquark system with no additional adjustable parameter. The resulting five-body wave function has the correct asymptotic form in its scattering-channel component and describes qq and qq̄ correlations properly. The 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). Instead, the phase shift does show two resonances just above 500 MeV: a broad 12+ resonance with a width of Γ∼110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2- resonance with Γ=0.12MeV at 540 MeV. Properties of these states are discussed.
AB - Scattering problem of the uudds̄ system in the standard nonrelativistic 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 two-body interaction that reproduces observed properties of ordinary baryons and mesons is applied to the pentaquark system with no additional adjustable parameter. The resulting five-body wave function has the correct asymptotic form in its scattering-channel component and describes qq and qq̄ correlations properly. The 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). Instead, the phase shift does show two resonances just above 500 MeV: a broad 12+ resonance with a width of Γ∼110MeV located at ∼520MeV (∼2.0GeV in mass) and a sharp 1/2- resonance with Γ=0.12MeV at 540 MeV. Properties of these states are discussed.
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U2 - 10.1016/j.physletb.2005.11.086
DO - 10.1016/j.physletb.2005.11.086
M3 - Article
AN - SCOPUS:30944455256
SN - 0370-2693
VL - 633
SP - 237
EP - 244
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 2-3
ER -