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arXiv 1209.3402hep-phhep-exnucl-th
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从三π介子光生反应中提取介子共振

Extraction of Meson Resonances from Three-pions Photo-production Reactions

S. X. Nakamura, H. Kamano, T. -S. H. Lee, T. Sato

摘要:

我们研究了从核子上的三π介子光生反应的Dalitz图分析中提取的介子共振性质的模型依赖性。在Phys. Rev. D 84,114019(2011)中开发的酉模型中,我们生成Dalitz图分布作为数据来执行同量异位素模型拟合,这与之前对三π介子产生反应的大多数分析相似。结果表明,两种模型的共振位置吻合较好,但在分叉点附近存在共振极点。从这两个模型中提取的共振振幅的残差和通常的Breit-Wigner程序只对窄宽度的孤立共振一致。对于重叠共振,大多数提取的残留物可能完全不同。我们的研究结果表明,即使有高精度的数据,共振提取应该是基于模型的振幅参数化的三粒子么正性条件的约束。

英文摘要:

We have investigated the model dependence of meson resonance properties extracted from the Dalitz-plot analysis of the three-pions photoproduction reactions on the nucleon. Within a unitary model developed in Phys. Rev. D 84, 114019 (2011), we generate Dalitz-plot distributions as data to perform an isobar model fit that is similar to most of the previous analyses of three-pion production reactions. It is found that the resonance positions from the two models agree well when both fit the data accurately, except for the resonance poles near branch points. The residues of the resonant amplitudes extracted from the two models and by the usual Breit-Wigner procedure agree well only for the isolated resonances with narrow widths. For overlapping resonances, most of the extracted residues could be drastically different. Our results suggest that even with high precision data, the resonance extraction should be based on models within which the amplitude parametrization is constrained by three-particle unitarity condition.

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