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

Gardestig, A.; Horowitz, C.J.; Nogga, A.; Fonseca, A.C.; Hanhart, C.; Miller, G.A.; Niskanen, J.A.; van Kolck, U.

doi:10.1103/PhysRevC.69.044606

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

A. Gardestig
(
- Indiana U.
)
,
C.J. Horowitz
(
- Indiana U.
)
,
A. Nogga
(
- Washington U., Seattle
)
,
A.C. Fonseca
(
- Lisbon U., CFAUL
)
,
C. Hanhart
(
- Julich, Forschungszentrum
)

Feb, 2004

35 pages

Published in:

Phys.Rev.C 69 (2004) 044606

e-Print:

nucl-th/0402021 [nucl-th]

DOI:

10.1103/PhysRevC.69.044606

Report number:

NT-UW-04-001,
FZJ-IKP-TH-2004-2

View in:

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Abstract:

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.

11.30.Hv
25.10.+s
25.45.-z
deuteron deuteron: fusion
helium
charge: symmetry breaking
amplitude analysis
perturbation theory: chiral
effective Lagrangian
Feynman graph: higher-order

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Figures(0)

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