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arXiv 1406.0625nucl-thhep-phnucl-ex
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核力和有效相互作用的误差分析

Error analysis of nuclear forces and effective interactions

R. Navarro Perez, J. E. Amaro, E. Ruiz Arriola

摘要:

核子-核子相互作用是从头计算原子核结构和核反应的出发点。这些都是通过有效的相互作用拟合散射数据的最大质量质心动量有效地进行。然而,神经网络相互作用受到统计和系统的不确定性,预计将传播和理论计算的预测能力和准确性有一定的影响,无论用于解决多体问题的方法的数值精度。我们强调的必要条件,需要一个正确的和自洽的理论和实验之间的差异,使随后的统计误差传播和相关性分析的统计解释。本文全面讨论了最近提出的一种严格的尾敏感正态性检验方法,并给出了一个简单的实现方法,作为应用,我们分析了由散射数据推导的包含单π交换和手征双π交换相互作用的裸NN势的Moshinsky-Skyrme参数和有效场论反项所推导的有效相互作用的不确定性和相关性。

英文摘要:

The Nucleon-Nucleon interaction is the starting point for ab initio Nuclear Structure and Nuclear reactions calculations. Those are effectively carried out via effective interactions fitting scattering data up to a maximal center of mass momentum. However, NN interactions are subjected to statistical and systematic uncertainties which are expected to propagate and have some impact on the predictive power and accuracy of theoretical calculations, regardless on the numerical accuracy of the method used to solve the many body problem. We stress the necessary conditions required for a correct and self-consistent statistical interpretation of the discrepancies between theory and experiment which enable a subsequent statistical error propagation and correlation analysis. We comprehensively discuss an stringent and recently proposed tail-sensitive normality test and provide a simple recipe to implement it. As an application, we analyze the deduced uncertainties and correlations of effective interactions in terms of Moshinsky-Skyrme parameters and effective field theory counterterms as derived from the bare NN potential containing One-Pion-Exchange and Chiral Two-Pion-Exchange interactions inferred from scattering data.

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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