Survey of charge symmetry breaking operators for dd → απ0

A. Gårdestig, C. J. Horowitz, A. Nogga, A. C. Fonseca, C. Hanhart, G. A. Miller, J. A. Niskanen, U. Van Kolck

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Abstract

The charge symmetry breaking amplitudes for the recently observed dd → απ0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree-level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and α wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.

Original languageEnglish (US)
Article number044606
Pages (from-to)044606-1-044606-16
JournalPhysical Review C - Nuclear Physics
Volume69
Issue number4
DOIs
StatePublished - Apr 2004

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    Gårdestig, A., Horowitz, C. J., Nogga, A., Fonseca, A. C., Hanhart, C., Miller, G. A., Niskanen, J. A., & Van Kolck, U. (2004). Survey of charge symmetry breaking operators for dd → απ0. Physical Review C - Nuclear Physics, 69(4), 044606-1-044606-16. [044606]. https://doi.org/10.1103/PhysRevC.69.044606