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• W2029131331 abstract "In this paper we describe a precision measurement of the $g$ factor of the free positron. The basic experimental technique is that developed by Rich and Crane in an earlier positron experiment: A group of positrons from a ${mathrm{Co}}^{58}$ source is confined in a magnetic mirror trap. On emission from the source, the positron beam is polarized parallel to its average velocity $〈stackrel{ensuremath{rightarrow}}{mathrm{v}}〉$, with polarization $stackrel{ensuremath{rightarrow}}{mathrm{P}}=frac{〈stackrel{ensuremath{rightarrow}}{mathrm{v}}〉}{c}$. While in the field the beam undergoes cyclotron orbital motion at an angular frequency ${ensuremath{omega}}_{c}$. Simultaneously $stackrel{ensuremath{rightarrow}}{mathrm{P}}$ precesses at an angular frequency ${ensuremath{omega}}_{s}$, i.e., $stackrel{ensuremath{rightarrow}}{mathrm{P}}$ rotates about $stackrel{ensuremath{rightarrow}}{mathrm{v}}$ at the difference frequency ${ensuremath{omega}}_{D}={ensuremath{omega}}_{s}ensuremath{-}{ensuremath{omega}}_{c}$. After a controlled length of time, the particles are ejected from the trap and sent into a polarimeter, this being a device whose response is proportional to the helicity, $frac{stackrel{ensuremath{rightarrow}}{mathrm{v}}ifmmodecdotelsetextperiodcenteredfi{}stackrel{ensuremath{rightarrow}}{mathrm{P}}}{|stackrel{ensuremath{rightarrow}}{mathrm{v}}ensuremath{parallel}stackrel{ensuremath{rightarrow}}{mathrm{P}}|}$. The recorded polarimeter output vs trapping time is fitted to a cosine curve and the best-fit frequency is taken as ${ensuremath{omega}}_{D}$. This measurement of ${ensuremath{omega}}_{D}$, when combined with a measurement of the time-averaged field $B$ experienced by the positrons in the trap, is the basis of the experiment. More explicitly, if the $g$ factor is written as $g=2(1+a)$, where $a$ is the $g$ factor anomaly, then $a=(frac{{m}_{0}c}{mathrm{eB}}){ensuremath{omega}}_{D}$. The principal difference between the present experiment and previous work is the use of a pulsed coil instead of a dc magnet to generate a 10-kG magnetic field used in the polarimeter. Fringe fields from the dc magnet caused severe drifting of the trapped beam, a problem which has been overcome by use of the coil. The longer trapping times now obtained account for a factor of 5 improvement in measurement accuracy. The result of our experiment may be written as $a=(11603ifmmodepmelsetextpmfi{}12)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}7}$. Invariance under $mathrm{TCP}$ requires equality of the electron and positron $g$ factors. Our results, when compared with previous electron measurements, serve to confirm this prediction at the 1-ppm level in the $g$ factor. Furthermore, since the ${ensuremath{mu}}^{+}$ and ${ensuremath{mu}}^{ensuremath{-}}$ $g$ factors are equal to within 0.7 ppm, any violation of $mathrm{TCP}$ which manifests itself in a lepton-antilepton $g$ factor asymmetry is ruled out at the 1-ppm level." @default.
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• W2029131331 title "Precision Measurement of thegFactor of the Free Positron" @default.
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• W2029131331 doi "https://doi.org/10.1103/physreva.5.38" @default.
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