Vacuum polarization test and search for muonhadron interactions from muonic X-rays:: Crystal-spectrometer experiments

doi:10.1016/0375-9474(82)90021-5

Nuclear Physics A

Volume 375, Issue 3, 15 February 1982, Pages 405-438

https://doi.org/10.1016/0375-9474(82)90021-5 Get rights and content

Abstract

We have measured the wavelengths of the $3 d_{52} −2 p_{32}$ and the $3 d_{32} -2 p_{12}$ X-ray transitions in μ-²⁴Mg, -²⁸Si and -³¹P with the bent-crystal spectrometer at the SIN muon channel. The X-rays are measured relative to the wavelengths of the 84 keV and the 63 keV γ-rays of ¹⁷⁰Tm and ¹⁶⁹Yb which have recently been calibrated to about 1 ppm. The measured X-ray wavelengths λ_exp are compared with theoretical values λ_th, as obtained from QED calculations. The relative difference, averaged over all six measured transitions, is $λ_{exp} −λ_{th} λ_{th} = (2 ± 8) × 10^{−6}$

This result corresponds to a test of the vacuum polarization effect in QED of (0.6 ± 2.4) × 10⁻³. Assuming the QED calculations to be correct, we can use the result to put limits on additional muon-nucleon interactions (as required by gauge theories). If such an interaction is mediated by a scalar, isoscalar boson with a mass smaller than 1 MeV, the coupling constant is found to be $g_{N} g_{μ} 4π = (−4 ± 17) × 10^{−9}$

Alternatively, we can deduce from our experiments the most accurate direct value to date for the negative muon mass, $m_{μ} - = 105.65906(91) MeV$ .

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^☆: This work is based on the thesis of B. Aas (dissertation no. 6541, ETHZ, 1980), and supported in part by SIN and the Schweizerischer Nationalfonds.

^∗: Present address: LAMPF, Los Alamos, NM 87545, USA.

^∗∗: Present address: Kantonsschule Oerlikon, CH-8050 Zürich, Switzerland.

^∗∗∗: Present address:DESY, Notkestrasse 85, D-2000 Hamburg 52, West Germany.

^∗∗∗∗: Present address:SIN, CH-5234 Villigen, Switzerland.

^{∗∗∗∗∗}: Present address:Laboratory for Nuclear Science, MIT, Cambridge, Mass. 02139, USA.

^{∗∗∗∗∗∗}: Present address: Centre d'Etudes Nucleaires de Grenoble, 85X-38041 Grenoble, France.

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Vacuum polarization test and search for muonhadron interactions from muonic X-rays:: Crystal-spectrometer experiments☆

Abstract

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

Nucl. Instr.

Nucl. Instr.

Nucl. Phys.

Atomic Data and Nucl. Data Tables

Phys. Lett.

Phys. Rev.

Phys. Rev. Lett.

Nucl. Phys.

Z. Phys.

Phys. Rev. Lett.

thesis No. 5791 ETHZ