Speaker
Description
While hadronic structure is experimentally probed by processes such as DIS and
DVCS, both lattice and continuum techniques are employed to corroborate such re-
sults from a theoretical perspective. On the continuum side, the Fadeev equations
provide a fully covariant approach to three body interactions convenient for describing
three quark hadronic states. However, the four-spacetime-dimensional nature of the
corresponding Fadeev wave functions precludes a probabilistic interpretation, encour-
aging our use of their 3-spacetime-dimensional light cone projections, Light Front Wave
Functions (LFWFs). An intuitional advantage of LFWFs is their role as coefficients
in Fock expansions of hadronic states. We first define nucleon Fadeev wave functions
in terms of off-diagonal nucleon matrix elements, and subsequently express the cor-
responding definite orbital angular momentum (OAM) nucleon LFWFs. With these
definite quark helicity LFWFs in hand we calculate GPDs as linear combinations of
their overlaps, and isolate definite OAM contributions to nucleon GPDs, PDFs, Form
Factors (FFs) and the electric nucleon radius. Looking forward, this work will allow
us to map dynamical effects underlying the computation of Fadeev wave functions to the multimensional structure of the nucleon.
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