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We present a detailed positron 2D-ACAR measurements study of the "ridge" Fermi surface of (R)Ba_{2}Cu_{3}O_{7-δ} (R = Y, Dy) compared to full-potential linearized augmented plane wave and linear muffin-tin orbital calculations. From different 2D-ACAR projections measured in DyBa_{2}Cu_{3}O_{7-δ}, a 3D model of the momentum density of the ridge was established and is in good agreement with LMTO calculations of YΒa_{2}Cu_{3}O_{7}, confirming the description of the ridge Fermi surface by local density approximation calculations. The ridge is also studied in oxygen deficient YΒa_{2}Cu_{3}O_{7-δ}. With growing δ, the ridge disappears without changing in width. This is consistent with full-potential linearized augmented plane wave calculations of YΒa_{2}Cu_{3}O_{6.5}, and supports the phase separation model of Mesot et al.
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