A new approach to the analysis of positron-annihilation long-slit angular distributions which can provide a more direct reflection of Fermi surface profile has been described in a recent publication. The analysis involves the periodic superposition of angular distributions which has the effect of converting a momentum distribution into a distribution in reduced Bloch wave vectorsk. When applied to data for a Cu crystal, having the resolved momentum component parallel to the  direction, the analysis results in excellent agreement with the computed surface of Halse and also provides a guide to the form and intensity of the angular distribution for core electron annihilation.
A similar treatment of the results for a  orientation, at first sight, appears less encouraging. However, a more careful appraisal supports the general value of the approach, the validity of the analysis for the  crystal orientation, and gives further clues to the form and anisotropy of the core distributions for Cu single crystals.
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Lock, D.G., West, R.N. Positron annihilation in copper: Ak-space analysis. Appl. Phys. 6, 249–256 (1975). https://doi.org/10.1007/BF00883759