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arXiv 2008.03147nucl-thhep-ph
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从π原子中提取$σ_{πN}$

Extracting $σ_{πN}$ from pionic atoms

Eliahu Friedman, Avraham Gal

摘要:

我们讨论了最近提取的$πN$ $σ$长期$σ_{πN}$从一个大规模的π-原子强相互作用数据在整个周期表。由此导出的值$σ_{πN}^{\rm FG}=57\pm 7$ MeV通过Gell-Mann-Oakes-Renner表达式直接连接到阈值附近的中等重整化$πN$等矢量散射振幅。它与最近由Bern-Bonn-Jülich小组导出的$σ_{πN}^{\rm RS}=58\pm 5$ MeV值进行了比较,该值使用Roy-Steiner方程来控制外推到零π介子质量的极小的近阈值$πN$等腰散射振幅。

英文摘要:

We discuss a recent extraction of the $πN$ $σ$ term $σ_{πN}$ from a large-scale fit of pionic-atom strong-interaction data across the periodic table. The value thus derived, $σ_{πN}^{\rm FG}=57\pm 7$ MeV, is directly connected via the Gell-Mann--Oakes--Renner expression to the medium-renormalized $πN$ isovector scattering amplitude near threshold. It compares well with the value derived recently by the Bern-Bonn-Jülich group, $σ_{πN}^{\rm RS}=58\pm 5$ MeV, using the Roy-Steiner equations to control the extrapolation of the vanishingly small near threshold $πN$ isoscalar scattering amplitude to zero pion mass.

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