Measurement of Hard Exclusive Electroproduction of π 0 Meson Cross Section in Hall A of JLab with CEBAF at 12 GeV
A complete description of nucleon structure requires the simultaneous knowledge of both the spatial and momentum information of the ultimate constituents of the nucleon, the quarks and gluons. Generalized Parton Distributions (GPDs) provide such tools to describe nucleon structure. GPDs are measurable through hard exclusive processes like Deeply Virtual Compton Scattering (DVCS) and Deeply Virtual Meson Production (DVMP). GPDs can describe hard exclusive processes only if Bjorken factorization is achieved during the hard scattering process. While DVCS data have given hints of the factorization regime being attained, such hints have not been observed for DVMP data. Testing for factorization in DVMP processes is the topic of this thesis. Exclusive π 0 electroproduction has been measured by experiment E12-06-114 in Hall A of JLab. Cross sections have been measured at three fixed Bjorken- x ( x B ): 0.35, 0.48 and 0.6 in the Q 2 range 3 to 9 GeV 2 . In this document we present an analysis of a subset of the data: x B = 0.35 in the Q 2 range 3.1 to 4.5 GeV 2 . The different structure functions: unseparated cross section (σ T + ϵσ L ), longitudinal-transverse interference (σ LT ), transverse-transverse interference (σ TT ), and the polarized response (σ LT' ) terms were extracted. The data was compared to a transversity GPD model. The model fails to reproduce the data even though the order of magnitude is in agreement for both model and data. We observe a strong disagreement between the data and the model for σ LT in terms of both magnitude and the cross section sign. Our results are in a larger and wider Q 2 domain but they are in agreement with existing measurements.