Odderon and pomeron from the vacuum correlator method

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 σ and effective value of αs. 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 γp reactions.