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Polynomiality sum rules for generalized parton distributions of spin-1 targets

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We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin… Click to show full abstract

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter $\ensuremath{\xi}$, which contain generalized form factors as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a by-product of this derivation.

Keywords: spin targets; generalized parton; sum rules; polynomiality sum; parton distributions

Journal Title: Physical Review D
Year Published: 2019

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