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Effective Field Theory Approach to Pionium

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arxiv hep-ph/9905543 v2 pith:R2RTUV64 submitted 1999-05-29 hep-ph nucl-th

classification hep-phnucl-th
keywords effectivefieldtheoryallowsapproachatomsbelowchiral
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Self-consistent computation of pair production from non-relativistic effective field theories in the Keldysh-Schwinger formalism

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    Self-consistent four-point functions in NR EFT with Keldysh-Schwinger formalism render Sommerfeld unitarization temperature-dependent and keep bound states on-shell in out-of-equilibrium decay even with finite-width B...

  2. Strong coupling constant from the 1-loop improved static energy

    hep-lat 2026-04 unverdicted novelty 4.0 of 10

    1-loop lattice PT improvement of Wilson loops enhances precision in extracting α_s from the static energy using TUMQCD (2+1)-flavor lattice data.

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