Self-consistent, linear-combination-of-Gaussian-orbitals band-structure method is used within the independent particle model, to calculate the electron momentum distributions, \ensuremath{\rho}(p), and two-photon momentum distributions, ${\mathrm{\ensuremath{\rho}}}^{2\ensuremath{\gamma}}$(p), in metallic vanadium. We present results for \ensuremath{\rho}(p), Compton profiles, ${\mathrm{\ensuremath{\rho}}}^{2\ensuremath{\gamma}}$(p), one- and two-dimensional angular correlation of positron annihilation radiation, etc. Results are compared with other calculations and with experiments wherever available. In particular, the present results for ${\mathrm{\ensuremath{\rho}}}^{2\ensuremath{\gamma}}$(p) are analyzed in terms of contributions from different sheets of Fermi surface of V, and are compared with ${\mathrm{\ensuremath{\rho}}}^{2\ensuremath{\gamma}}$(p) reconstructed from experimental two-dimensional angular correlation of positron annihilation radiation data sets by Pecora et al.
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