Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

Michael I. Eides; Howard Grotch; Valery A. Shelyuto

doi:10.1103/PhysRevD.58.013008

Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

Michael I. Eides, Howard Grotch, Valery A. Shelyuto

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24 Scopus citations

Abstract

Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)²E_F and (Z²α)(Zα)(m/M)²E_F are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression [(-6 ln 2 - 3/4)α(Zα) - 17/12 (Z²α)(Zα)](m/M)²E_F is obtained. Numerically the correction is equal to -0.0351 kHz and is of the same order of magnitude as the expected accuracy of the current Los Alamos experiment to measure the hyperfine splitting.

Original language	English
Article number	013008
Pages (from-to)	130081+1300812
Journal	Physical review D
Volume	58
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevD.58.013008
State	Published - Jul 1 1998

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	9421408

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.58.013008

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title = "Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium",

abstract = "Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)2EF and (Z2α)(Zα)(m/M)2EF are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression [(-6 ln 2 - 3/4)α(Zα) - 17/12 (Z2α)(Zα)](m/M)2EF is obtained. Numerically the correction is equal to -0.0351 kHz and is of the same order of magnitude as the expected accuracy of the current Los Alamos experiment to measure the hyperfine splitting.",

author = "Eides, {Michael I.} and Howard Grotch and Shelyuto, {Valery A.}",

year = "1998",

month = jul,

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doi = "10.1103/PhysRevD.58.013008",

language = "English",

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T1 - Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

AU - Eides, Michael I.

AU - Grotch, Howard

AU - Shelyuto, Valery A.

PY - 1998/7/1

Y1 - 1998/7/1

N2 - Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)2EF and (Z2α)(Zα)(m/M)2EF are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression [(-6 ln 2 - 3/4)α(Zα) - 17/12 (Z2α)(Zα)](m/M)2EF is obtained. Numerically the correction is equal to -0.0351 kHz and is of the same order of magnitude as the expected accuracy of the current Los Alamos experiment to measure the hyperfine splitting.

AB - Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)2EF and (Z2α)(Zα)(m/M)2EF are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression [(-6 ln 2 - 3/4)α(Zα) - 17/12 (Z2α)(Zα)](m/M)2EF is obtained. Numerically the correction is equal to -0.0351 kHz and is of the same order of magnitude as the expected accuracy of the current Los Alamos experiment to measure the hyperfine splitting.

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DO - 10.1103/PhysRevD.58.013008

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JO - Physical review D

JF - Physical review D

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ER -

Second order in mass ratio radiative-recoil corrections to hyperfine splitting in muonium

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