NRQED and Next-to-Leading Hyperfine Splitting in Positronium

Details NRQED and Next-to-Leading Hyperfine Splitting in Positronium NRQED and Next-to-Leading Hyperfine Splitting in Positronium

1997-06-23

arxiv.org/abs/hep-ph/9706449v1

Phys.Rev. D56 (1997) 8053-8061

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, plain TeX, 6 figures included using epsf

Scientific paper

10.1103/PhysRevD.56.8053

We compute the next-to-leading, O(m alpha^5), contribution to the hyperfine splitting in positronium within the framework of NRQED. When applied to the ground state, our calculation reproduces known results, providing a further test of NRQED techniques. Besides providing a very simple method of calculation of the 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, which we publish here for the first time.

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