Abstract
We discuss building models for nucleon generalized parton distributions (GPDs) H and E that are based on the formalism of double distributions (DDs). We found that the usual "DD+D-term" construction should be amended by an extra term, ξE^1_+(x,ξ) built from the α/βmoment of the DD e(β,α) that generates GPD E(x,ξ). Unlike the D-term, this function has support in the whole -1 \leq x \leq 1 region, and in general does not vanish at the border points |x|=ξ.
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