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

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

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

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

Research output: Contribution to journal › Conference article › peer-review

Abstract

Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)²E_F and of order (Z²α)(Zα)(m/M)²E_F are calculated. 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 planned accuracy of the experiment on measuring the hyperfine splitting which is now running at Los Alamos.

Original language	English
Pages (from-to)	82-83
Number of pages	2
Journal	CPEM Digest (Conference on Precision Electromagnetic Measurements)
State	Published - 1998
Event	Proceedings of the 1998 Conference Precision Electromagnetic Measurements - Washington, DC, USA Duration: Jul 6 1998 → Jul 10 1998

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	9421408

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Instrumentation
Electrical and Electronic Engineering

Cite this

@article{304eafb61e2c463da4aa8b77d8035abb,

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 of order (Z2α)(Zα)(m/M)2EF are calculated. 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 planned accuracy of the experiment on measuring the hyperfine splitting which is now running at Los Alamos.",

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

year = "1998",

language = "English",

pages = "82--83",

note = "Proceedings of the 1998 Conference Precision Electromagnetic Measurements ; Conference date: 06-07-1998 Through 10-07-1998",

}

TY - JOUR

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

Y1 - 1998

N2 - Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)2EF and of order (Z2α)(Zα)(m/M)2EF are calculated. 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 planned accuracy of the experiment on measuring the hyperfine splitting which is now running at Los Alamos.

AB - Radiative-recoil corrections to hyperfine splitting in muonium of order α(Zα)(m/M)2EF and of order (Z2α)(Zα)(m/M)2EF are calculated. 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 planned accuracy of the experiment on measuring the hyperfine splitting which is now running at Los Alamos.

UR - https://www.scopus.com/pages/publications/0032300389

UR - https://www.scopus.com/pages/publications/0032300389#tab=citedBy

M3 - Conference article

AN - SCOPUS:0032300389

SN - 0589-1485

SP - 82

EP - 83

JO - CPEM Digest (Conference on Precision Electromagnetic Measurements)

JF - CPEM Digest (Conference on Precision Electromagnetic Measurements)

T2 - Proceedings of the 1998 Conference Precision Electromagnetic Measurements

Y2 - 6 July 1998 through 10 July 1998

ER -

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

Abstract

Funding

ASJC Scopus subject areas

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