Papers › The Constituent Counting Rule and Omega Photoproduction
The Constituent Counting Rule and Omega Photoproduction
Trevor Reed, Christopher Leon, Frank Vera, Lei Guo, Brian Raue
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The constituent counting ruling (CCR) has been found to hold for numerous hard, exclusive processes. It predicts the differential cross section at high energies and fixed cosθ_(c.m.) should follow (d σ)/dt ∼1/(sⁿ⁻²), where n is the minimal number of constituents involved in the reaction. Here we provide an in-depth analysis of the reaction γp →ωp at θ_(c.m.)∼90° using CLAS data with an energy range of s = 5 - 8 GeV², where the CCR has been shown to work in other reactions. We argue for a stringent method to select data to test the CCR and utilize a Taylor-series expansion to take advantage of data from nearby angle bins in our analysis. Na\"{i}vely, this reaction would have n=9 (or n=10 if the photon is in a qq̅ state) and we would expect a scaling of ∼s⁻⁷ (s⁻⁸). Instead, a scaling of s^(-(9.08 ±0.11)) was observed. Explanations for this apparent failure of the na\"{i}ve CCR assumptions are examined.
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