Abstract

This paper presents high-precision spectroscopic measurements of atomic tin using five different resonance-ionization schemes performed with the collinear resonance-ionization spectroscopy technique. Isotope shifts were measured for the stable tin isotopes from the $5{s}^{2}5{p}^{2}\phantom{\rule{0.28em}{0ex}}^{3}{P}_{0,1,2}$ and ${}^{1}{S}_{0}$ to the $5{s}^{2}5p6s\phantom{\rule{0.28em}{0ex}}^{1}{P}_{1},^{3}{P}_{1,2}$ and $5{s}^{2}5p7s{\phantom{\rule{0.28em}{0ex}}}^{1}{P}_{1}$ atomic levels. The magnetic dipole hyperfine constants ${A}_{\mathrm{hf}}$ have been extracted for six atomic levels with electron angular momentum $Jg0$ from the hyperfine structures of nuclear spin $I=1/2$ tin isotopes, $^{115,117,119}\mathrm{Sn}$. State-of-the-art atomic calculations using a relativistic Fock-space coupled-cluster method and the configuration interaction approach combined with many-body perturbation theory allow accurate and reliable calculations of both field- and mass-shift factors for the studied transitions, in addition to the hyperfine magnetic fields and electric-field gradients of the atomic levels. The excellent agreement with the experimental results highlights the accuracy of modern atomic theory and establishes an important foundation for precision measurements of nuclear moments and charge radii of the most exotic isotopes of tin.

Highlights

  • Atomic and ionic spectral lines are observed to shift between different isotopes of the same element

  • This paper presents high-precision spectroscopic measurements of atomic tin using five different resonanceionization schemes performed with the collinear resonance-ionization spectroscopy technique

  • In the ground-state multiplet, the energy of the 5p2 3P1 and 5p2 3P2 levels is calculated with an accuracy of 1% and 2%, respectively, while for the excited states, an accuracy of less than 0.5% is achieved for all levels, except for the 5p6s 3P2 level where it is 1%

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Summary

Introduction

Atomic and ionic spectral lines are observed to shift between different isotopes of the same element. Precision measurements of isotope shifts, which are usually smaller than 1 part in 106 of the absolute transition frequency, provide insight into the electron-nucleus interaction and allow systematic studies of changes in nuclear charge radii [2,3] or probing of fundamental interactions [4,5,6]. This requires an accurate understanding of the atomic field- and mass-shift factors for decoupling the atomic-physics contribution [7,8].

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