Survey of charge symmetry breaking operators for dd -> alpha pi0

Details Survey of charge symmetry breaking operators for dd -> alpha pi0 Survey of charge symmetry breaking operators for dd -> alpha pi0

2004-02-04

arxiv.org/abs/nucl-th/0402021v1

Phys.Rev. C69 (2004) 044606

Physics

Nuclear Physics

Nuclear Theory

REVTeX 4, 35 pages, 8 eps figures, submitted to PRC

Scientific paper

10.1103/PhysRevC.69.044606

The charge-symmetry-breaking amplitudes for the recently observed d d -> alpha pi0 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 alpha 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.

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