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arXiv 2303.07973hep-phphysics.atom-phquant-ph
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束缚电子 $g$ 因子的强子真空极化修正

Hadronic vacuum polarization correction to the bound-electron $g$ factor

Eugen Dizer, Zoltán Harman

AI总结:

本文从理论上研究了束缚电子 $g$ 因子的强子真空极化修正,采用有效强子 Uehling 势计算低能级氢原子能级的修正,导出了点核情况下的闭式公式,并发现该效应在重离子中远大于自由电子情形。

摘要:

从理论上研究了束缚电子 $g$ 因子的强子真空极化修正。采用由 $e^- e^+$ 湮灭为强子的测量截面得到的有效强子 Uehling 势,计算了低能级氢原子能级的 $g$ 因子修正。使用了解析的 Dirac-Coulomb 波函数,以及考虑了有限核半径的束缚波函数。导出了点核情况下 $g$ 因子位移的闭式公式。在重离子中,发现此类效应远大于自由电子的 $g$ 因子。

英文摘要:

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is employed to calculate $g$ factor corrections for low-lying hydrogenic levels. Analytical Dirac-Coulomb wave functions, as well as bound wave functions accounting for the finite nuclear radius are used. Closed formulas for the $g$ factor shift in case of a point-like nucleus are derived. In heavy ions, such effects are found to be much larger than for the free-electron $g$ factor.

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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