Abstract

Laser spectroscopy with a 13.3 MeV ion beam at the TSR storage ring is used for an accurate measurement of the transverse Doppler effect. This experiment is a sensitive test of the special theory of relativity and the${\text{γ}}_{\text{SRT}}={\left(1-{\beta }^2\right)}^{-}{}^{\frac{1}{2}}$ factor$\left(\beta =\frac{v}{c}\right)$. The Doppler shifted frequencies ν_a, ν_p of fast moving clocks are compared with reference clocks at rest in the laboratory. The frequencies ν₁ ν₂ at rest for the moving clocks are known from independent measurements [1,2]. Using ν_a = ν₁ γ(1 - β) and ν_p = ν₂ γ(1 +β), any deviation of the time dilation factor introduced as ${\widetilde{\text{γ}}\text{=γ}}_{\text{SRT}}\left(1+\delta \alpha {\beta }^2+\dots \right)$ is detected in the expression [3]

© 1996 IEEE