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Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model

P. Schweitzer·S. Boffi·M. Radici
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Abstract

Mellin moments of off-forward distribution functions are even polynomials of the skewedness parameter. This constraint, called polynomiality property, follows from Lorentz- and time-reversal invariance. We prove that the unpolarized off-forward distribution functions in the chiral quark-soliton model satisfy the polynomiality property. The proof is an important contribution to the demonstration that the description of off-forward distribution functions in the model is consistent. As a byproduct of the proof we derive explicit model expressions for moments of the D-term and compute the first coefficient in the Gegenbauer expansion for this term.

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P. Schweitzer, S. Boffi, M. Radici. 2002-11-13. Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model. https://doi.org/10.1103/physrevd.66.114004

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