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

Abstract

The physics that determines the line shape of the 1S--2S transition in magnetically trapped $\bar{\mathrm{H}}$ is explored. Besides obtaining an understanding of the line shape, one goal is to replace the dependence on large scale simulations of $\bar{\mathrm{H}}$ 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.

References in corpus (2)

• Improved Measurement of the Hydrogen 1S - 2S Transition Frequency
• A proposal for laser cooling antihydrogen atoms