Mn. Sergeenko, AN INTERPOLATING MASS FORMULA AND REGGE TRAJECTORIES FOR LIGHT AND HEAVY QUARKONIA, Zeitschrift fur Physik. C, Particles and fields, 64(2), 1994, pp. 315-322
Simple interpolating formula for the square of the quarkonium mass and
an analytic expression for the Regge trajectories alpha(t) in a whole
region of both light and heavy quarkonia are derived on the basis of
the consideration of two asymptotics for the QCD inspired interquark p
otential. The leading trajectory functions obtained level off at - 1 f
or - t --> infinity. This asymptotic value of alpha(t), alpha(t) congr
uent-to - 1, implies that the cross section of the form (1-x)1-2alpha(
t), which is predicted by the triple Regge model, behaves like (1 - x)
3. Is this to be attributed to the behaviour of the vector meson excha
nge or is it some hard scattering contribution swamping the Regge cont
ributions? The intercepts and slopes of the leading Regge trajectories
alpha(rho)(t), alpha(PHI)(t), alpha(psi)(t) and alpha(gamma)(t) are c
alculated.