New Precision Measurement of Hyperfine Splitting of Positronium

Abstract

The ground state hyperfine splitting of positronium ${\Delta }_{\mathrm{HFS}}$ is sensitive to high order corrections of quantum electrodynamics (QED) in bound state. The theoretical prediction and the averaged experimental value for ${\Delta }_{\mathrm{HFS}}$ has a discrepancy of 15 ppm, which is equivalent to 3.9 standard deviations (s.d.). A new precision measurement which reduces the systematic uncertainty from the positronium thermalization effect was performed, in which the non-thermalization effect was measured to be as large as $10\pm 2\mathrm{ppm}$ in a timing window we used. When this effect is taken into account, our new result becomes ${\Delta }_{\mathrm{HFS}}=203.3942\pm 0.0016(stat.,8.0\mathrm{ppm})\pm 0.0013(sys.,6.4\mathrm{ppm})$\,GHz, which favors the QED prediction within 1.2 s.d. and disfavors the previous experimental average by 2.6 s.d.

8 pages, 10 figures, accepted by Physics Letters B

References in corpus (2)

• Direct Observation of the Hyperfine Transition of the Ground State Positronium
• First test of $O({\alpha }^2)$ correction of the orthopositronium decay rate

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