Hydrogen-deuterium isotope shift: From the 1 S − 2 S -transition frequency to the proton-deuteron charge-radius difference
2011; American Physical Society; Volume: 83; Issue: 4 Linguagem: Inglês
10.1103/physreva.83.042505
ISSN1538-4446
AutoresUlrich D. Jentschura, Arthur Matveev, Christian G. Parthey, Jānis Alnis, Randolf Pohl, Th. Udem, N. Kolachevsky, Theodor W. Hänsch,
Tópico(s)Scientific Measurement and Uncertainty Evaluation
ResumoWe analyze and review the theory of the hydrogen-deuterium isotope shift for the $1S$-$2S$ transition, which is one of the most accurately measured isotope shifts in any atomic system, in view of a recently improved experiment. A tabulation of all physical effects that contribute to the isotope shift is given. These include the Dirac binding energy, quantum electrodynamic effects, including recoil corrections, and the nuclear-size effect, including the pertaining relativistic and radiative corrections. From a comparison of the theoretical result $\ensuremath{\Delta}{f}_{\mathrm{th}}=670 999 566.90(66)(60) \text{kHz}$ (exclusive of the nonrelativistic nuclear-finite-size correction) and the experimental result $\ensuremath{\Delta}{f}_{\mathrm{expt}}=670 994 334 605(15) \mathrm{Hz}$, we infer the deuteron-proton charge-radius difference $\ensuremath{\langle}{r}^{2}\ensuremath{\rangle}{}_{d}\ensuremath{-}\ensuremath{\langle}{r}^{2}\ensuremath{\rangle}{}_{p}=3.820 07(65) \phantom{\rule{0ex}{0ex}}{\mathrm{fm}}^{2}$ and the deuteron structure radius ${r}_{\mathrm{str}}=1.975 07(78) \mathrm{fm}$.
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