QCD string in light-light and heavy-light mesons

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  • 26 March 2001
Abstract
Spectra of light-light and heavy-light mesons are calculated within the framework of the QCD string model, which is derived from QCD in the Wilson loop approach. Special attention is payed to the proper string dynamics that allows to reproduce the straight-line Regge trajectories with the inverse slope being 2\pi\sigma for light-light and as twice as smaller for heavy-light mesons. We use the model of the rotating QCD string with quarks at the ends to calculate masses of several light-light mesons lying on the lowest Regge trajectories and compare them with the experimental data as well as with the predictions of other models. Masses of several low-lying orbitally and radially excited heavy-light states in the D, D_s, B and B_s mesons spectra have been calculated in the einbein (auxiliary) field approach, which is proven to be rather accurate in various calculations for relativistic systems. The results for the spectra have been compared with the experimental and recent lattice data. It is demonstrated that the account for the proper string dynamics encoded in the so-called string correction to the interquark interaction leads to extra negative contribution to the masses of orbitally excited states that resolves the problem of identification of the D(2637) state recently claimed by DELPHI Collaboration. For the heavy-light system we extract the constants \bar\Lambda, \lambda_1 and \lambda_2 used in the Heavy Quark Effective Theory (HQET) and find a good agreement with the results of other approaches.

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