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arXiv 0710.4056nucl-thnucl-ex
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相对论效应在中能pd碎裂排斥散射中的应用

Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies

T. Lin, Ch. Elster, W. N. Polyzou, W. Gloeckle

摘要:

在动量空间中建立了三核子散射的相对论性Faddeev方程,并直接用动量矢量求解,而不采用分波分解。相对论不变性是通过在三核子希尔伯特空间上构造庞加莱群的动力学幺正表示来实现的。在508 MeV的独家破碎反应计算的Malfliet-Tjon型的两体相互作用和截面进行比较,在此能量下测量的截面。我们发现,相对论效应的幅度可以是相当大的,并取决于所考虑的配置。尽管模型相互作用的性质很简单,但实验截面与相对论计算的预测惊人地吻合。我们还发现,虽然对于特定的配置的多重散射系列收敛迅速,这是在一般情况下,不是这样的。

英文摘要:

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. The exclusive breakup reaction at 508 MeV is calculated based on a Malfliet-Tjon type of two-body interaction and the cross sections are compared to measured cross sections at this energy. We find that the magnitude of the relativistic effects can be quite large and depends on the configurations considered. In spite of the simple nature of the model interaction, the experimental cross sections are in surprisingly good agreement with the predictions of the relativistic calculations. We also find that although for specific configurations the multiple scattering series converges rapidly, this is in general not the case.

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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