Five-body calculation of resonance and scattering states of pentaquark system
Five-body calculation of resonance and scattering states of pentaquark system
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DOI：
10.1016/j.physletb.2005.11.086
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发表时间：
2005-07
影响因子：
4.4
通讯作者：
E. Hiyama;M. Kamimura;Atsushi Hosaka;H. Toki;M. Yahiro
中科院分区：
文献类型：
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作者：
E. Hiyama;M. Kamimura;Atsushi Hosaka;H. Toki;M. Yahiro
利用高斯展开法和Kohn型耦合道变分法，对包含NK散射道的大五体模型空间进行了精确处理，首次解决了Isgur-Karl标准非相对论夸克模型中的uudds <$s系统的散射问题.在不增加可调参数的情况下，将再现重子和介子性质的两体相互作用应用于五夸克系统。由此得到的五体波函数在其散射通道分量中具有正确的渐近形式，并正确地描述了qq和qq ′的相关性。NK散射相移显示在所报道的五夸克态Θ+（1540）的能量范围内没有共振，即在NK阈值以上0-500 MeV（质量为1.4-1.9 GeV）。相反，相移确实显示了两个刚好在500 MeV以上的共振：一个宽的12+共振，其宽度为110 MeV，位于520 MeV（质量为2.0 GeV）处;和一个尖锐的12−共振，其宽度为0.12 MeV，位于540 MeV处。这些国家的性质进行了讨论。
Scattering problem of the uudds¯ 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 qq¯ 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 12−resonance with Γ=0.12MeV at 540 MeV. Properties of these states are discussed.