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

Preprint

19 December 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0112267

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.

Keywords

SYSTEMATIC EXPANSIONS
RECOIL CORRECTIONS
PREVIOUS LETTER
STATE ENERGIES
POWERS OF M/M
ENERGY LEVELS
BOUND STATE
HYDROGEN

All Related Versions

Version 1, 2001-12-19, ArXiv
Published version: Physical Review D, 65 (7), 073015.

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