Goldberger-Miyazawa-Oehme和规则的再探讨
The Goldberger-Miyazawa-Oehme sum rule revisited
摘要：
采用Goldberger-Miyazawa-Oehme求和规则从实验$π$ N信息中提取π介子-核子耦合常数。手征微扰理论被利用在有关的π氢s-波的能级位移和宽度的结果，以适当的散射长度。耦合的推导值为$f^2 = 0.075 \pm 0.002$，其中最大的不确定性来源是从原子能级位移测量确定s波$π^- p$散射长度。
英文摘要：
The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental $π$N information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results to the appropriate scattering lengths. The deduced value for the coupling is $f^2 = 0.075 \pm 0.002$, where the largest source of uncertainty is the determination of the s-wave $π^- p$ scattering length from the atomic level shift measurement.
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