Most precise single redshift bound to the variability of the fine-structure constant

Verification of theoretical predictions of an oscillating behavior of the fine-structure constant, $\alpha$ , with cosmic time requires high precision measurements at individual redshifts, while in earlier studies the mean $\Delta\alpha/\alpha$ values averaged over wide redshift intervals were usually reported. This requirement can be met via the Single Ion Differential $\alpha$ Measurement (SIDAM) procedure. We apply SIDAM to the FeII lines associated with the damped Ly $\alpha$ system observed at $z = 1.15$ in the spectrum of HE0515–4414. The weighted mean calculated on the base of carefully selected 34 FeII pairs is $\langle \Delta\alpha/\alpha \rangle = (-0.07\,{\pm}\,0.84)\times10^{-6}$ . The precision of this estimate represents a large improvement over previous measurements of $\Delta\alpha/\alpha$ .