The validity of the Lock-Crisp-West (LCW) theorem for analysing two-dimensional (2D) angular correlation of positron annihilation radiation (ACPAR) in V and paramagnetic Cr has been examined theoretically. A band-structure calculation has been made of the two-photon momentum density (TPMD), rho ep(p), and the occupation density, rho e(k), for V and paramagnetic Cr. The TPMD, rho ep(p), has been remapped into k space and the resulting distribution rho ep(k) has been compared with rho e(k). The 2D distributions Nep(ky,kz) and Ne(ky,kz) have been obtained from rho ep(p) and rho e(k) by a suitable integration and folding procedure and they are compared with each other. The results show a qualitative agreement between the two distributions, the observed quantitative difference being ascribed to the effects of the positron wavefunction. The present calculations explain the success of the LCW theorem for analysing the ACPAR data for the V and Cr group of metals.