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

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

2002-07-18

arxiv.org/abs/hep-ph/0207230v2

Phys.Rev. D66 (2002) 114004

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, no figures. Corrections and improvements in section 6. To appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.66.114004

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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