Expansion of bound state energies in powers of m/M and (1-m/M)

Abstract

Elaborating on a previous letter, we use a new approach to compute energy levels of a non-relativistic bound-state of two constituents, with masses m and M, by systematic expansions - one in powers of m/M and another in powers of (1-m/M). Technical aspects of the calculations are described in detail. Theoretical predictions are given for O(alpha(Z*alpha)^5) radiative recoil and O((Z*alpha)^6) pure recoil corrections to the average energy shift and hyperfine splitting relevant for hydrogen, muonic hydrogen, and muonium.

9 pages, revtex

References in corpus (2)

• Radiative-Recoil Corrections of Order $\alpha (Z\alpha {)}^5(m/M)m$ to Lamb Shift Revisited
• Expansion of bound-state energies in powers of m/M

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• The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions
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• Recent Progress in Perturbative Quantum Field Theory
• Recoil corrections to the energy levels of hydrogenic atoms
• QED corrections of orders $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ for HD${}^{+}$ rovibrational transitions beyond Born-Oppenheimer approximation