Four- and Five-Body Scattering Calculations of Exotic Hadron Systems(Pentaquarks and related topics, Exotic hadrons, New Frontiers in QCD-Exotic Hadrons and Hadronic Matter-)

概要

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We study the five-quark system uudds in the standard non-relativistic quark model by solving the scattering problem. Using the Gaussian Expansion Method (GEM), we perform the almost precise multi-quark calculations by treating a very large five-body modelspace including the NK scattering channel explicitly. Although a lot of pseudostates (discretized continuum states) with J^π=1/2^± and J^π=3/2^± are obtained within the bound-state approximation, all the states in 1.4-1.85 GeV in mass around Θ^+ (1540) melt into non-resonant continuum states through the coupling with the NK scattering state in the realistic case, i.e., there is no five-quark resonance below 1.85 GeV. Instead, we predict a five-quark resonance state of J^π=1/2^- with the mass of about 1.9 GeV and the width of Γ≅2.68 MeV. Similar calculation is done for the four-quark system ccqq (q=u, d) in connection with X^0(3872).
理論物理学刊行会の論文
2007-11-09