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Expansion of Bound-State Energies in Powers of m/M and (1-m/M)

Technical Report ·
DOI:https://doi.org/10.2172/798992· OSTI ID:798992

Elaborating on a previous letter [1], we use a new approach to compute energy levels of a nonrelativistic 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 {Omicron}({alpha}(Z{alpha}){sup 5}) radiative recoil and {Omicron}((Z{alpha}){sup 6}) pure recoil corrections to the average energy shift and hyperfine splitting relevant for hydrogen, muonic hydrogen, and muonium.

Research Organization:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
798992
Report Number(s):
SLAC-PUB-9100
Country of Publication:
United States
Language:
English

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