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arXiv 1003.4444nucl-thhep-phnucl-ex
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π ^-氘核散射长度的精确计算及其对π-N散射阈值的影响

Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering

V. Baru, C. Hanhart, M. Hoferichter, B. Kubis, A. Nogga, D. R. Phillips

摘要:

我们用手征微扰理论计算了π ^- d散射长度,精确度只有百分之几。这是第一次一致地包含了违反同位旋的修正。利用π介子氘和π介子氢原子的数据,我们提取了π介子与核子的等截面和等矢量散射长度,得到了a^+=(7.6 +/- 3.1)x 10^{-3} mpi^{-1}和a^-=(86.1 +/- 0.9)x 10^{-3} mpi^{-1}。通过戈德堡-宫泽-厄梅求和规则,这导致带电π介子-核子的耦合常数g_c^2/4 pi = 13.69 +/- 0.20。

英文摘要:

We present a calculation of the pi^- d scattering length with an accuracy of a few percent using chiral perturbation theory. For the first time isospin-violating corrections are included consistently. Using data on pionic deuterium and pionic hydrogen atoms, we extract the isoscalar and isovector pion-nucleon scattering lengths and obtain a^+=(7.6 +/- 3.1) x 10^{-3} mpi^{-1} and a^-=(86.1 +/- 0.9) x 10^{-3} mpi^{-1}. Via the Goldberger-Miyazawa-Oehme sum rule, this leads to a charged-pion-nucleon coupling constant g_c^2/4 pi = 13.69 +/- 0.20.

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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