Abstract
Transversity generalized parton distributions (GPDs) appear as scalar functions in the decomposition of off-forward quark-quark and gluon-gluon correlators with a parton helicity flip. For a spin 1 hadron, we find 9 transversity GPDs for both quarks and gluons at leading twist 2. We study these twist-2 chiral odd quark transversity GPDs for the deuteron in a light cone convolution model, based on the impulse approximation, and using the lowest Fock-space state for the deuteron.
Highlights
The factorization of hard exclusive amplitudes in the generalized Bjorken regime [1,2] as the convolution of generalized parton distributions (GPDs) with perturbatively calculable coefficient functions allows us to get access to the three-dimensional structure of nucleons or nuclei through the extraction of the various quark and gluon GPDs
For the chiral odd nucleon GPDs, we use the parametrization of Goloskokov and Kroll (GK) [37], evaluated at a scale of μ 1⁄4 2 GeV, and implemented in three different models in Ref. [38]
Our study completes the description of leading twist quark and gluon GPDs in the deuteron, in a convolution model based on the impulse approximation and using the lowest Fock space state for the deuteron in terms of nucleons
Summary
The factorization of hard exclusive amplitudes in the generalized Bjorken regime [1,2] as the convolution of generalized parton distributions (GPDs) with perturbatively calculable coefficient functions allows us to get access to the three-dimensional structure of nucleons or nuclei through the extraction of the various quark and gluon GPDs. To the nucleon GPDs which have been the subject of many works—both theoretically and experimentally— the study of deuteron GPDs is still in its infancy; its founding blocks are the definition of helicity nonflip quark and gluon GPDs [14] and the calculation of deeply virtual Compton scattering (DVCS) and deep exclusive meson production (DEMP) amplitudes [15,16] in the coherent reactions on a deuteron. Between transversity helicity amplitudes and GPDs for spin 1 hadrons are listed in Appendix C, and a minimal convolution model used to obtain some analytical results is outlined in Appendix D.
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