Changes

=== Photon-Reggeon-Resonance vertex ===

=== Photon-Reggeon-Resonance vertex ===

Consider the production of the resonance from the photon and reggeon in the reflectivity basis, the eigenstates of the reflectivity operator.  

Consider the t-channel production of a resonance from the photon and reggeon in the reflectivity basis, consisting of plane-wave states constructed to be eigenstates of the reflectivity operator. This turns out in the case of the photon to correspond to the usual linear polarization basis |x> and |y>.  Let the x (y) linear polarization states be denoted as ε=- (ε=+).

 

:<math>|\mp\rangle = \sqrt{\frac{\pm 1}{2}} \left( |1 -1\rangle \mp |1 +1\rangle \right)</math>

The photon linear polarization states turn out to be eigenstates of reflectivity as well:

<br>Let x (y) polarization states be denoted with - (+)

 

<math>|\mp\rangle = \sqrt{\frac{\pm 1}{2}} \left( |1 -1\rangle \mp |1 +1\rangle \right)</math>

 

<math>\mathbb{R}|\mp\rangle = \mp 1 |\mp\rangle </math>

Since the production Hamiltonian should commute with reflectivity:

Since the production Hamiltonian should commute with reflectivity: