On the Lifetime of the pi+pi- Atom

A. Gall (Bern University); A. Rusetsky (Bern University; Dubna; J. Gasser (Bern University); JINR; Tbilisi University); Tomsk University); V. E. Lyubovitskij (JINR

On the Lifetime of the pi+pi- Atom

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arxiv hep-ph/9905309 v1 submitted 1999-05-11 hep-ph

A. Gall (Bern University) , J. Gasser (Bern University) , V. E. Lyubovitskij (JINR , Dubna , Tomsk University) , A. Rusetsky (Bern University , JINR , Tbilisi University) This is my paper · ORCID

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The pi+pi- atom decays -in the ground state - predominantly into two neutral pions. We present a general expression for the corresponding decay width in the framework of QCD (including photons). It contains all terms at leading and next-to-leading order in isospin breaking. The result allows one to evaluate the combination |a_0-a_2| of pi-pi S-wave scattering lengths from pi+pi- lifetime measurements, like the one presently performed by the DIRAC experiment at CERN.

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A pedagogical survey of non-relativistic effective field theory for hadronic atoms, restating the known next-to-leading-order formulas for the pionic hydrogen energy shift and width.

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