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Measurement of the magnetic moment of the positive muon by a stroboscopic muon-spin-rotation technique

Journal Article · · Phys. Rev. D; (United States)

A new determination of the magnetic moment of the positive muon in units of the magnetic moment of the proton is presented. The Larmor precession of positive muons in liquid bromine was observed by a stroboscopic technique in a field of 0.75 T and combined with concomitant proton NMR measurements in the same chemical environment. The stroboscopic method allows use of the full muon stopping rate available at the Schweizerisches Institut fuer Nuklearforschung (SIN) muon channel. Moreover, it permits an intrinsically precise determination of muon Larmor frequency and proton NMR frequency measuring the magnetic field by comparison with the stable reference frequency of the SIN accelerator (..delta cap omega../..cap omega..roughly-equal10/sup -8/). Two different bromine targets were used which allowed an unambiguous determination of the chemical field shift experienced by the muons. One target contained pure and water-free liquid bromine (Br/sub 2/), where stopped muons form (..mu../sup +/e/sup -/)Br molecules. The other target was slightly contaminated with water; there a chemical reaction chain places the muons into (..mu../sup +/e/sup -/)HO molecules. The diamagnetic shielding of protons in the analogous molecules HBr and H/sub 2/O in liquid bromine was measured by high-resolution NMR. Values for the isotopic shift of the diamagnetic shielding, when protons are replaced by muons, are available from quantum chemical calculations. After application of the chemical-shift corrections, the results from the two different bromine targets are consistent. The final result is ..mu../sub ..mu..//..mu../sub p/ = 3.183 344 1(17) (or +- 0.53 ppm). This value agrees with other recent precision determinations of ..mu../sub ..mu..//..mu../sub p/. For the muon mass the present result implies m/sub ..mu..//m/sub e/ = 206.768 35(11) ( +- 0.53 ppm).

Research Organization:
Institut fuer Physik der Universitaet Mainz, D-6500 Mainz, Federal Republic of Germany
OSTI ID:
5654494
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:3; ISSN PRVDA
Country of Publication:
United States
Language:
English