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Higher Fock State Contributions to the Generalized Parton Distribution of Pion

Chueng-Ryong Ji·Yuriy Mishchenko·Anatoly Radyushkin
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Abstract

We discuss the higher Fock state (q \bar q g) contributions to the nonzero value of the pion GPD at the crossover point x = zeta between the DGLAP and ERBL regions. Using the phenomenological light-front constituent quark model, we confirm that the higher Fock state contributions indeed give a nonzero value of the GPD at the crossover point. Iterating the light-front quark model wave function of the lowest q \bar q Fock state with the Bethe-Salpeter kernel corresponding to the one-gluon-exchange, we include all possible time-ordered q \bar q g Fock state contributions and obtain the pion GPD satisfying necessary sum rules and continuity conditions.

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Chueng-Ryong Ji, Yuriy Mishchenko, Anatoly Radyushkin. 2006-04-21. Higher Fock State Contributions to the Generalized Parton Distribution of Pion. https://doi.org/10.1103/physrevd.73.114013

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