Abstract
The expression for the ( π + π −) atom lifetime is derived within the Bethe-Salpeter approach. First-order perturbative corrections due to the contribution of strong interactions are taken into account. It is demonstrated that the atom lifetime can be expressed in terms of the solutions of the Coulombic problem (the wave function of the 1 S state at the origin Ψ 1(0), the binding energy of the S-state E 1), the difference of the S-wave ππ scattering lengths and the energy shift ΔE 1 of the level due to the strong interactions: 1 gt 1 − (a 0 0 - a 0 2) 2|Ψ 1(0)| 2 (1 - 9ΔE 1 8E 1 ) .
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