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Accuracy estimation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn><mml:none /><mml:mprescripts /><mml:none /><mml:mn>16</mml:mn></mml:mmultiscripts></mml:mrow><mml:mo>+</mml:mo></mml:msup></mml:math> transition frequencies targeting the search for the variation in the proton-electron mass ratio
We estimate the Stark and Zeeman shifts in the transition frequencies of the ${^{16}\mathrm{O}_{2}}^{+}$ molecular ion as a step in the search for the variation in the proton-to-electron mass ratio $\ensuremath{\mu}$. The ${X}^{2}\mathrm{\ensuremath{\Pi}}\phantom{\rule{0.16em}{0ex}}v=21\ensuremath{-}{a}^{4}\mathrm{\ensuremath{\Pi}}\phantom{\rule{0.16em}{0ex}}v=0$ or the ${X}^{2}\mathrm{\ensuremath{\Pi}}v=21\ensuremath{-}{a}^{4}\mathrm{\ensuremath{\Pi}}\phantom{\rule{0.16em}{0ex}}v=1$ transition frequencies (THz region) of the ${^{16}\mathrm{O}_{2}}^{+}$ molecular ion have particularly high sensitivity to …