Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms

Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in muonic hydrogen and helium. To construct the interaction potential of particles, which gives the necessary contributions to the energy spectrum, we use the method of projection operators to states with a definite spin. Separate analytic expressions for the contributions of the muon self-energy, the muon vertex operator and the amplitude with spanning photon are obtained. We present also numerical results for these contributions using modern experimental data on the electromagnetic form factors of light nuclei.

arXiv comment8 pages, 1 Figure

References in corpus (16)

• Theory of Light Hydrogenlike Atoms
• Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen
• Radiative corrections and parity nonconservation in heavy atoms
• Muonic hydrogen ground state hyperfine splitting
• Calculation of radiative corrections to the effect of parity nonconservation in heavy atoms
• Lamb shift in muonic deuterium atom
• Radiative Correction to the Nuclear-Size Effect and Hydrogen-Deuterium Isotopic Shift
• Hyperfine structure of S-states in muonic deuterium
• Radiative-Recoil Corrections of Order $\alpha (Z\alpha {)}^5(m/M)m$ to Lamb Shift Revisited
• Steps towards the hyperfine splitting measurement of the muonic hydrogen ground state: pulsed muon beam and detection system characterization
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Theory of muonic hydrogen - muonic deuterium isotope shift
• Proton polarizability and the Lamb shift in muonic hydrogen
• Nuclear structure corrections in the energy spectra of electronic and muonic deuterium
• Corrections of order (Zα)^6 m_e^2/m_μin the muonium fine structure
• One-Loop Electron Vertex in Yennie Gauge

Cited by in corpus (5)

• Comprehensive theory of the Lamb shift in light muonic atoms
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Energy interval 3S-1S in muonic hydrogen