Sensitivity coefficients to variation of fundamental constants

Abstract

Atoms and molecules can serve as sensitive probes of a possible variation of the fine structure constant $\alpha$ and electron-to-proton mass ratio $\mu$. Two types of sensitivity coefficients are often used to quantify and compare the sensitivity of different species to the variation of fundamental constants. The dimensionless coefficients $K$ are related to the fractional sensitivity, while dimensional factors $q$ are related to the absolute sensitivity. Here we discuss several common errors and misconceptions regarding these coefficients that frequently appear in the literature.