Determination of pomeron and glueball mass spectrum within the frameworks of string Hamiltonian

Processes of multiple birth are well describing in the frameworks of pomeron presentations. It is suggested, that exchange with massive particles - pomerons - takes place between secondary particles center. Last time the possibility for consideration of the glueballs lake the pomerons is widely discussing. Under this suggestion the explanation of glueballs' mass appearance is the main problem. With help of non-perturbation method grounded on study of asymptotic behavior of polarizing operator the consideration of this problem is carried out. The glueballs masses and appropriate Regge trajectories were calculated. According of correlation function the coupled spectrum states is determined