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arXiv 0712.2283nucl-th
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动力学耦合通道对π介子光产生的影响

Dynamical Coupled-Channels Effects on Pion Photoproduction

B. Julia-Diaz, T. -S. H. Lee, A. Matsuyama, T. Sato, L. C. Smith

摘要:

在{ \bf Physics Reports,439,193(2007)}中开发的动态耦合通道模型内研究电磁π介子产生反应。本研究中的介子-重子通道包括$γN$、$πN$、$ηN$以及$ππN$通道的$πΔ$、$ρN$和$σN$共振分量。在最近的$πN$散射的研究中确定的模型的强子参数,我们表明,π光生数据的第二个共振区可以描述在很大程度上只通过调整裸$γN \to N^*$螺旋振幅,而非共振电磁耦合是从以前的作品。结果表明,耦合通道效应对$Δ$(1232)共振区产生截面的贡献约为10 ~ 20%,并能显著改变第二共振区产生截面的大小和形状.在一个动态的方法中的离壳效应的重要性也被证明。介子云效应以及耦合通道对$γN \to N^*$形状因子的贡献主要在低$Q^2$区。对于磁M1 $γN \to Δ$(1232)形状因子,结果接近于Sato-Lee模型的结果。必要的改进模型和未来的发展进行了讨论。

英文摘要:

The electromagnetic pion production reactions are investigated within the dynamical coupled-channels model developed in {\bf Physics Reports, 439, 193 (2007)}. The meson-baryon channels included in this study are $γN$, $πN$, $ηN$, and the $πΔ$, $ρN$ and $σN$ resonant components of the $ππN$ channel. With the hadronic parameters of the model determined in a recent study of $πN$ scattering, we show that the pion photoproduction data up to the second resonance region can be described to a very large extent by only adjusting the bare $γN \to N^*$ helicity amplitudes, while the non-resonant electromagnetic couplings are taken from previous works. It is found that the coupled-channels effects can contribute about 10 - 20 % of the production cross sections in the $Δ$ (1232) resonance region, and can drastically change the magnitude and shape of the cross sections in the second resonance region. The importance of the off-shell effects in a dynamical approach is also demonstrated. The meson cloud effects as well as the coupled-channels contributions to the $γN \to N^*$ form factors are found to be mainly in the low $Q^2$ region. For the magnetic M1 $γN \to Δ$ (1232) form factor, the results are close to that of the Sato-Lee Model. Necessary improvements to the model and future developments are discussed.

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