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π+π−atom in chiral perturbation theory

1998/05/18 by M. A. Ivanov, V. E. Lyubovitskij, Valery E. Lyubovitskij +3 · 2 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.58.094024

published as Phys.Rev. D58 (1998) 094024 · 36 pages, LaTeX-file (revtex.sty)

arxiv created 1998/05/18 · openalex publication_date 1998/10/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The hadronic \ensuremathπ+\ensuremathπ^\ensuremath- atom is studied in the relativistic perturbative approach based on the Bethe-Salpeter equation. 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 chiral perturbation theory. The lifetime of the \ensuremathπ+\ensuremathπ^\ensuremath- atom in the two-loop order of chiral perturbation theory is predicted to be \ensuremathτ1=(3.03\ifmmode±\else\textpm\fi0.10)\ifmmode×\else\texttimes\fi10^\ensuremath-15 s.

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