χ2-map showing the quality of the fit to available HCN multi-transition single-dish data for the AGB stars R For (left panel), W Aql (middle panel), and TX Cam (right panel) when varying the adjustable parameters, f0 and re, in the model. Contours are drawn at the 1, 2, and 3σ levels. Indicated in the upper right corner is the reduced χ2 of the best-fit model and the number of observational constraints used, N.
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