Reciprocal form factors from momentum density magnitudes

Abstract

Abstract. Tight model-independent approximations to the reciprocal form factor B(r) are obtained in terms of a few quantities related to the one-particle momentum density γ (p) with no use of any position quantity. In doing so, two different and complementary methods (maximum entropy and two-point Padé approximants) are used. The accuracy of the approximations is analysed in a Hartree-Fock framework.The Fourier transform B(r) of the electron momentum density γ (p)

Minimum cross‐entropy estimation of internally folded densities from Compton profiles

“…The starting approximation to the reciprocal form factor is the maximum‐entropy one 5 constrained by the first moments 1, …”

“…However, many numerical calculations and estimations 4, 11 on γ(0) have been carried out. Among them, let us notice those based on maximum‐entropy approximations on γ( p ) 5, 12. Additionally, different lower bounds to γ(0) in terms of radial expectation values are also known 13, 14.…”

“…More recently, tight model‐independent approximations to B ( r ) were also obtained in terms of a few quantities related to the one‐particle momentum density γ( p ) with no use of any position quantity. In doing so, two different but complementary methods, based on maximum‐entropy and two‐point Padé approximants techniques, were employed 5.…”