TY - JOUR

T1 - Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states

AU - Wundt, B. J.

AU - Jentschura, U. D.

PY - 2010/6/3

Y1 - 2010/6/3

N2 - The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision spectroscopic experiments. The dominant nuclear effect that shifts transition energies among Rydberg states therefore is due to the nuclear mass. As a consequence, spectroscopic measurements of Rydberg transitions can be used in order to precisely deduce nuclear masses. A possible application of this approach to hydrogen and deuterium, and hydrogen-like lithium and carbon is explored in detail. In order to complete the analysis, numerical and analytic calculations of the quantum electrodynamic self-energy remainder function for states with principal quantum number n = 5,⋯, 8 and with angular momentum ℓ = n - 1 and ℓ = n - 2 are described (j = ℓ ± 1/2).

AB - The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision spectroscopic experiments. The dominant nuclear effect that shifts transition energies among Rydberg states therefore is due to the nuclear mass. As a consequence, spectroscopic measurements of Rydberg transitions can be used in order to precisely deduce nuclear masses. A possible application of this approach to hydrogen and deuterium, and hydrogen-like lithium and carbon is explored in detail. In order to complete the analysis, numerical and analytic calculations of the quantum electrodynamic self-energy remainder function for states with principal quantum number n = 5,⋯, 8 and with angular momentum ℓ = n - 1 and ℓ = n - 2 are described (j = ℓ ± 1/2).

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U2 - 10.1088/0953-4075/43/11/115002

DO - 10.1088/0953-4075/43/11/115002

M3 - Article

AN - SCOPUS:77952818804

VL - 43

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 11

M1 - 115002

ER -