Rovibronic molecular hydrogen (H 2 ) transitions at redshift z abs ≃ 2.659 toward the background quasar B0642−5038 are examined for a possible cosmological variation in the proton-to-electron mass ratio μ. We utilize an archival spectrum from the Very Large Telescope/Ultraviolet and Visual Echelle Spectrograph (UVES) with a signal-to-noise ratio of ∼35 per 2.5 km s −1 pixel at the observed H 2 wavelengths (335–410 nm). Some 111 H 2 transitions in the Lyman and Werner bands have been identified in the damped Lyα system for which a kinetic gas temperature of ∼84 K and a molecular fraction log f = −2.18 ± 0.08 are determined. The H 2 absorption lines are included in a comprehensive fitting method, which allows us to extract a constraint on a variation of the proton–electron mass ratio Δμ/μ from all transitions at once. We obtain Δμ/μ = (17.1 ± 4.5 stat ± 3.7 sys ) × 10 −6 . However, we find evidence that this measurement has been affected by wavelength miscalibration errors recently identified in UVES. A correction based on observations of objects with solar-like spectra gives a smaller Δμ/μ value and contributes to a larger systematic uncertainty: Δμ/μ = (12.7 ± 4.5 stat ± 4.2 sys ) × 10 −6 .
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