Odderon and Pomeron from the Vacuum Correlator Method

Abstract

Glueball masses with J<=7 are computed both for C=+1 and C=-1 using the string Hamiltonian derived in the framework of the Vacuum Correlator Method. No fitting parameters are used, and masses are expressed in terms of string tension $\sigma$ and effective value of ${\alpha }_s$. We extend the calculations done for J<=3 using the same Hamiltonian, which provided glueball masses in good agreement with existing lattice data, to higher mass states. It is shown that 3^{--}, 5^{--} and 7^{--} states lie on the odderon trajectories with the intercept around or below 0.14. Another odderon trajectory with 3g glueballs of Y-shape, corresponds to 11% higher masses and low intercept. These findings are in agreement with recent experimental data, setting limits on the odderon contribution to the exclusive $\gamma p$ reactions.

16 pages. Journal version. To be published in Phys.Lett.B

References in corpus (4)

• Glueball Regge trajectories and the Pomeron -- a lattice study --
• The low lying glueball spectrum
• Ground-state baryons in nonperturbative quark dynamics
• Multi-reggeon compound states and resummed anomalous dimensions in QCD

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