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arXiv 0710.4067hep-ph
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么正化介子模型中的低位标量介子九重态

A low-lying scalar meson nonet in a unitarized meson model

E. van Beveren, T. A. Rijken, K. Metzger, C. Dullemond, G. Rupp, J. E. Ribeiro

摘要:

一个非相对论性的介子模型,这是成功的描述的重,轻矢量和赝标量介子产量,在其扩展到标量介子,但相同的模型参数,一个完整的noneet低于1 GeV。在么正化方案中,实介子-介子衰变道和虚介子-介子衰变道耦合到夸克-反夸克禁闭道。与其他束缚态qqbar模型的结果类似,味相关谐振子约束势本身具有束缚态ψ(1.3 GeV),S(1.5 GeV),delta(1.3 GeV),kappa(1.4 GeV)。然而,完整的耦合通道方程显示了在0.5 GeV、0.99 GeV、0.97 GeV、0.73 GeV处的极点。在我们的模型中不仅可以计算这些极位,而且可以计算介子散射通道的截面和相移,这些结果与S波散射中π-π、η-π和K介子-π的现有数据相当吻合。

英文摘要:

A unitarized nonrelativistic meson model which is successful for the description of the heavy and light vector and pseudoscalar mesons yields, in its extension to the scalar mesons but for the same model parameters, a complete nonet below 1 GeV. In the unitarization scheme, real and virtual meson-meson decay channels are coupled to the quark-antiquark confinement channels. The flavor-dependent harmonic-oscillator confining potential itself has bound states epsilon(1.3 GeV), S(1.5 GeV), delta(1.3 GeV), kappa(1.4 GeV), similar to the results of other bound-state qqbar models. However, the full coupled-channel equations show poles at epsilon(0.5 GeV), S(0.99 GeV), delta(0.97 GeV), kappa(0.73 GeV). Not only can these pole positions be calculated in our model, but also cross sections and phase shifts in the meson-scattering channels, which are in reasonable agreement with the available data for pion-pion, eta-pion and Kaon-pion in S-wave scattering.

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