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arXiv 1010.5603nucl-thhep-ph
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低能η' N散射的手征么正方法

Chiral unitary approach to η' N scattering at low energies

E. Oset, A. Ramos

摘要:

本文采用手征么正方法研究了η' N相互作用,包括πN,ηN和相关的赝标介子-重子耦合通道.由于SU(3)单态对标准相互作用没有贡献,而η'主要是单态,因此得到的散射振幅非常小,与实验估计的η' N散射长度不一致。在耦合通道方案中加入矢量介子-重子态,通过赝标与矢量介子的正常和反常耦合,大大提高了η' N振幅。我们还利用QCD的对称性允许的在拉格朗日量中增加一个新项的自由,它将重子耦合到SU(3)的单重态介子。将未知强度调整为η' N散射长度,得到了低η'能量下弹性η' N --> η' N和非弹性η' N --> ηN,πN,KΛ,K λ截面的预言,并讨论了它们的意义.

英文摘要:

We study the η' N interaction within a chiral unitary approach which includes πN, ηN and related pseudoscalar meson-baryon coupled channels. Since the SU(3) singlet does not contribute to the standard interaction and the η' is mostly a singlet, the resulting scattering amplitude is very small and inconsistent with experimental estimations of the η' N scattering length. The additional consideration of vector meson-baryon states into the coupled channel scheme, via normal and anomalous couplings of pseudoscalar to vector mesons, enhances substantially the η' N amplitude. We also exploit the freedom of adding to the Lagrangian a new term, allowed by the symmetries of QCD, which couples baryons to the singlet meson of SU(3). Adjusting the unknown strength to the η' N scattering length, we obtain predictions for the elastic η' N --> η' N and inelastic η' N --> ηN, πN, KΛ, KΣ cross sections at low η' energies, and discuss their significance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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