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

1998/01/31 by Michael I. Eides, H. Grotch, Howard Grotch +1 · 3 citations
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Muon and positron interactions and applications #Particle accelerators and beam dynamics #hep-ph #physics.atom-ph

paper · pdf · doi:10.1103/physrevd.58.013008

published as Phys.Rev.D58:013008,1998 · Revtex, 19 pages, 3 tables; two references added, no other changes

arxiv created 1998/05/08 · openalex publication_date 1998/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Radiative-recoil corrections to hyperfine splitting in muonium of order \ensuremathα(Z\ensuremathα)(m/M)²E_F and (Z²\ensuremathα)(Z\ensuremathα)(m/M)²E_F are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression [(\ensuremath-6ln2\ensuremath-(3)/(4))\ensuremathα(Z\ensuremathα)\ensuremath-(17)/(12)(Z²\ensuremathα)(Z\ensuremathα)](m/M)²E_F is obtained. Numerically the correction is equal to \ensuremath-0.0351kHz 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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