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Phys. Rev. D 56, 8053–8061 (1997)

Nonrelativistic QED and next-to-leading hyperfine splitting in positronium

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P. Labelle, S. M. Zebarjad, and C. P. Burgess
Physics Department, McGill University, 3600 University Street, Montréal, Québec, Canada H3A 2T8

Received 9 July 1997; published in the issue dated 15 December 1997

We compute the next-to-leading O(mα5) contribution to the hyperfine splitting in positronium within the framework of nonrelativistic QED (NRQED). When applied to the ground state, our calculation reproduces the known result, providing a further test of NRQED techniques. In addition to providing a very simple method of calculation of this standard result, we also obtain new expressions for excited states of positronium with negligible additional effort. Our calculation requires the complete next-to-leading matching of the lowest-dimension NRQED four-Fermi couplings.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.8053
DOI:
10.1103/PhysRevD.56.8053
PACS:
12.20.Ds, 11.10.St, 31.15.Md, 31.30.Jv

See Also

Comment: V. A. Abalmasov, Comment on “Nonrelativistic QED and next-to-leading hyperfine splitting in positronium”, Phys. Rev. D 58, 128701 (1998).