Effective Field Theory Approach to Pionium

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages, 4 figures, uses feynmf.sty and feynmf.mf, minor corrections in a few formulas, the text and references

Scientific paper

10.1103/PhysRevD.61.114027

The various dynamical scales below the pion mass involved in $\pi^{+}$ $\pi^{-}$ atoms are sequentially integrated out using non-relativistic effective field theory techniques. This allows us to systematically organise the corrections to the energy levels and decay width. We present our results in terms of a single unknown constant which may be obtained by matching to the Chiral Lagrangian with electromagnetic interactions at two loops.

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