Total Widths And Slopes From Complex Regge Trajectories

Details Total Widths And Slopes From Complex Regge Trajectories Total Widths And Slopes From Complex Regge Trajectories

1998-04-10

arxiv.org/abs/hep-ph/9804270v1

Phys.Rev. D59 (1999) 076003

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 Figures

Scientific paper

10.1103/PhysRevD.59.076003

Maximally complex Regge trajectories are introduced for which both Re $\alpha(s)$ and Im $\alpha(s)$ grow as $s^{1-\epsilon}$ ($\epsilon$ small and positive). Our expression reduces to the standard real linear form as the imaginary part (proportional to $\epsilon$) goes to zero. A scaling formula for the total widths emerges: $\Gamma_{TOT}/M\to$ constant for large M, in very good agreement with data for mesons and baryons. The unitarity corrections also enhance the space-like slopes from their time-like values, thereby resolving an old problem with the $\rho$ trajectory in $\pi N$ charge exchange. Finally, the unitarily enhanced intercept, $\alpha_{\rho}\approx 0.525$, \nolinebreak is in good accord with the Donnachie-Landshoff total cross section analysis.

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