Theory of the line shape of the 1S--2S transition for magnetically trapped antihydrogen

R. A. Gustafson; F. Robicheaux

doi:10.1088/1361-6455/ac2c8a

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arXiv · 2107.14614

Theory of the line shape of the 1S--2S transition for magnetically trapped antihydrogen

R. A. Gustafson·F. Robicheaux

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Abstract

The physics that determines the line shape of the 1S--2S transition in magnetically trapped $\bar{\rm H}$ is explored. Besides obtaining an understanding of the line shape, one goal is to replace the dependence on large scale simulations of $\bar{\rm H}$ with a simpler integration over well defined functions. For limiting cases, analytic formulas are obtained. Example calculations are performed to illustrate the limits of simplifying assumptions. We also describe a $\chi^2$ method for choosing experimental parameters that can lead to the most accurate determination of the transition frequency.

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R. A. Gustafson, F. Robicheaux. 2021-07-30. Theory of the line shape of the 1S--2S transition for magnetically trapped antihydrogen. https://doi.org/10.1088/1361-6455/ac2c8a

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