Eur. Phys. J. A 10, 217-221

Analytic model of Regge trajectories

R. Fiore¹, L.L. Jenkovszky², V. Magas^{2, 3}, F. Paccanoni⁴ and A. Papa<sup>1

1</sup>  Dipartimento di Fisica, Università della Calabria, INFN, Gruppo collegato di Cosenza, I-87036 Arcavacata di Rende (CS) Italy
²  Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of the Ukraine, 03143 Kiev, Ukraine
³  Department of Physics, Bergen University, Allegaten 55, N-5007, Norway
⁴  Dipartimento di Fisica, Università di Padova, INFN, Sezione di Padova, via F. Marzolo 8, I-35131 Padova, Italy

vladimir.magas@fi.uib.no

(Received: 23 January 2001 Communicated by V.V. Anisovich)

Abstract
A model for a Regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with analyticity constraints is given in explicit form. The model is confronted in the time-like region with widths and masses of the mesonic resonances and, in the space-like region, the trajectory is compared with predictions derived from the -N charge-exchange reaction. Breaking of the exchange degeneracy is studied in the model and its effect on both the masses and widths is determined.

PACS
11.55.Jy - Regge formalism.
11.55.Bq - Analytic properties of S matrix.
14.40.-n - Mesons.

© Società Italiana di Fisica, Springer-Verlag 2001