Rare Pionium Decays and Pion Polarizability

H.-W. Hammer; J.N. Ng (TRIUMF)

Rare Pionium Decays and Pion Polarizability

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arxiv hep-ph/9902284 v2 pith:ZFM5RZBF submitted 1999-02-09 hep-ph nucl-th

H.-W. Hammer , J.N. Ng (TRIUMF) This is my paper · ORCID

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keywords pioniumdecaypionpolarizabilityphotonsanomalyatomsaxial

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We calculate the decay of pionium atoms into two photons. The pion polarizability gives rise to a 10% correction to the corresponding decay width for pointlike pions. This opens the possibility to obtain the difference between the electric and magnetic polarizability of the charged pion from a future measurement of the branching fraction of pionium into two photons. For such an experiment the \pi\pi-scattering lengths would have to be known to better than 5% precision. We also comment on the contribution of the axial anomaly to the decay of pionium into \gamma\pi^0.

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hep-ph 2024-12 unverdicted novelty 1.0 of 10

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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