Theory of the pi+ pi- atom

A.G. Rusetsky (BLThP; Dubna; E.Z. Lipartia (LCTA; Georgia); IHEP; JINR; M.A. Ivanov (BLThP; Russia; Russia); Tbilisi University

Theory of the pi+ pi- atom

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arxiv hep-ph/9810497 v1 submitted 1998-10-27 hep-ph

M.A. Ivanov (BLThP , JINR , Dubna , Russia) , V.E. Lyubovitskij (BLThP , Russia , Tomsk University , E.Z. Lipartia (LCTA

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IHEP Tbilisi University Georgia) A.G. Rusetsky (BLThP

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keywords atomlifetimetheorychiralperturbationrelativisticapproachbethe-salpeter

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The relativistic perturbative approach based on the Bethe-Salpeter (BS) equation is developed for the study of the characteristics of the hadronic pi+ pi- atom. The general expression for the atom lifetime is derived. Lowest-order corrections to the relativistic Deser-type formula for the atom lifetime are evaluated within the Chiral Perturbation Theory. The lifetime of the pi+ pi- atom in the two-loop order of the Chiral Perturbation Theory is predicted to be tau_1=(3.03\pm 0.10)\times 10^{-15}~s.

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