AN INTERPOLATING MASS FORMULA AND REGGE TRAJECTORIES FOR LIGHT AND HEAVY QUARKONIA

Authors
Citation
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
Citations number
37
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
01709739
Volume
64
Issue
2
Year of publication
1994
Pages
315 - 322
Database
ISI
SICI code
0170-9739(1994)64:2<315:AIMFAR>2.0.ZU;2-U
Abstract
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.