Odderon and pomeron from the vacuum correlator method

Glueball masses with J?7$J?7$ are computed both for C=+1$C=+1$ and C=−1$C=-1$ 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 σ   and effective value of αs${\alpha }_s$. We extend the calculations done for J?3$J?3$ 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⁻⁻$3^{--},5^{--}$ and ⁷⁻⁻$7^{--}$ 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 γp reactions.