Phenomenological Implications of a Magnetic 5th Force

Abstract

A 5th force coupling to baryon number $B$ has been proposed to account for the correlations between the acceleration differences $\Delta a_{ij}$ of the samples studied in the Eötvös experiment, and the corresponding differences in the baryon-to-mass ratios $\Delta (B/\mu {)}_{ij}$. To date the Eötvös results have not been supported by modern experiments. Here we investigate the phenomenological implications of a possible magnetic analog ${\vec{\mathcal{B}}}_5$ of the conventional 5th force electric field, ${\vec{\mathcal{E}}}_5$, arising from the Earth's rotation. We demonstrate that, in the presence of couplings proportional to ${\vec{\mathcal{B}}}_5$, both the magnitude and direction of a possible 5th force field could be quite different from what would otherwise be expected and warrants further investigation.

Comments: 31 pages, 1 figure, ws-ijmpa.cls, minor changes, final version to appear in International Journal of Modern Physics A