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arXiv 2108.01619nucl-thhep-ph
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手征微扰理论中π介子光生的$Δ(1232)$共振显式处理

Pion photoproduction in chiral perturbation theory with explicit treatment of the $Δ(1232)$ resonance

N. Rijneveen, A. M. Gasparyan, H. Krebs, E. Epelbaum

摘要:

在具有明确$Δ(1232)$自由度的手征微扰理论框架下,研究了π介子与核子的光生反应。在协变方法中,我们在小尺度展开格式下给出了$ε^3$阶的结果。此外,我们还提供了在重子方案中得到的$Δ$ -less和$Δ$ -full结果,以分析与协变方法的不同之处。低能量常数拟合多极振幅使用理论截断误差估计的贝叶斯方法。我们还比较了中性π介子生产截面和极化不对称性的数据,我们的研究结果。通过明确处理$Δ(1232)$共振,反应的描述得到明显改善。

英文摘要:

We study the reaction of pion photoproduction on the nucleon in the framework of chiral perturbation theory with explicit $Δ(1232)$ degrees of freedom. In the covariant approach, we give results up to order $ε^3$ in the small scale expansion scheme. Furthermore, we provide $Δ$-less and $Δ$-full results obtained in the heavy-baryon scheme to analyze the differences to the covariant approach. Low energy constants are fitted to multipole amplitudes using theoretical truncation errors estimated by a Bayesian approach. We also compare our findings to data of neutral pion production cross sections and polarization asymmetries. The description of the reaction is clearly improved by the explicit treatment of the $Δ(1232)$ resonance.

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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