Abstract
Backward photoproduction of $\omega$ off a proton target is investigated in a Reggeized model where the $u$-channel nucleon Reggeon is constructed from the nucleon Born terms in a gauge invariant way. The $t$-channel meson exchanges are considered as a background. While the $N_\alpha$ trajectory of the nucleon Reggeon reproduces the overall shape of NINA data measured at the Daresbury Laboratory in the range of $u$-channel momentum transfer squared $-1.7<u<0.02$ GeV$^2$ and energies at $E_\gamma=2.8$, 3.5 and 4.7 GeV, a possibility of parton contributions is searched for through the nucleon isoscalar form factor which is parameterized in terms of parton distributions at the $\omega NN$ vertex. Detailed analysis is presented for NINA data to understand the reaction mechanism that could fill up the deep dip from the nucleon Reggeon at momentum squared $u=-0.15$ GeV$^2$. The angle dependence of differential cross sections at the NINA energies above are reproduced in the overall range of $u$ including the CLAS data at forward angles in addition. The energy dependence of the differential cross section is investigated based on the NINA data and the recent LEPS data. A feature of the present approach that implicates parton contributions via nucleon form factor is illustrated in the total and differential cross sections provided by GRAAL and CB-ELSA Collaborations.
Highlights
Understanding the structure of hadrons based on QCD is a longstanding issue and hadron reactions at wide angles are a useful means to investigate parton contributions to reaction processes
In the fitting procedure to NINA data, our practical purpose is how to fill up such a deep dip as shown by the dotted curve that results from the nucleon Reggeon MN in Fig. 4(a) and how to simulate the scaling behavior of the cross section with respect to the momentum squared u
Given the differential cross section dσ=du for γp → ωp at Eγ 1⁄4 3.5 GeV separately into two parts as in Eq (13), the hadronic contribution corresponding to the sαðuÞ−1-term and the s−8 scaling by parton contributions is shown in Figs. 4(a) and 4(b), respectively
Summary
Understanding the structure of hadrons based on QCD is a longstanding issue and hadron reactions at wide angles are a useful means to investigate parton contributions to reaction processes. As the scaling of the cross section for meson photoproduction is mostly due to quark and gluon dynamics through the hard process at mid angle [2,3], it becomes, a significant issue how to understand the recurrence of the scaling by parton contributions at very backward angles, i.e., 155°
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