Corrections of order (Zα)^6 m^2_e/m_μin the muonium fine structure, induced by three photon exchange diagrams
Abstract
In the framework of the quasipotential method we calculate the contributions of the kind \alpha^6\ln\alpha, alpha^6 of three-photon exchange diagrams to the energy spectrum of muonium
n
3
S
1
state in the leading order on
m
e
/
m
μ
. Analytical expression of obtained correction for arbitrary principal quantum number is equal to (Z\alpha)^6(m_e/m_\mu)m_e(6\ln(2)-35/48)/n^3.