New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium

Details New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium

2001-08-14

arxiv.org/abs/hep-ph/0108116v2

Nucl.Phys.A699:732-742,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages including 3 figures. Uses elsart.cls. Some numbers have been updated and a few typos have been corrected

Scientific paper

10.1016/S0375-9474(01)01292-1

We calculate the electromagnetic corrections needed to obtain isospin invariant hadronic pion-pion s-wave scattering lengths a^0, a^2 from the elements a_cc, a_0c of the s-wave scattering matrix for the (\pi^+ \pi^-, \pi^0 \pi^0) system at the \pi^+ \pi^- threshold. These elements can be extracted from experiments on pionium. Our calculation uses energy independent hadronic pion-pion potentials that satisfactorily reproduce the low-energy phase shifts given by two-loop chiral pertur- bation theory. We also take into account an important relativistic effect whose inclusion influences the corrections considerably.

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