Radial and angular-momentum Regge trajectories: a systematic approach
1 Departamento de Física Teórica y del Cosmos and CAFPE, Universidad de Granada, E-18071 Granada, Spain
2 Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, Spain
3 The H. Niewodniczanski Institute of Nuclear Physics, PL-31342 Kraków, Poland
4 Institute of Physics, Jan Kochanowski University, PL-25406 Kielce, Poland
a e-mail: email@example.com
We present the analysis of Ref.  of the radial (n) and angular-momentum (J) Regge trajectories for all light-quark meson states listed in the Particle Data Tables. The parameters of the trajectories are obtained with linear regression, with weight of each resonance inversely proportional to its half-width squared, (Γ/2)2. The joint analysis in the (n, J, M2) Regge plane indicates, at the 4.5 standard deviation level, that the slopes in n are larger from the slopes in J. Thus no strict universality of slopes occurs in the light non-strange meson sector. We also extend our analysis to the kaon sector.
Supported by MICINN of Spain (FPA2006-05294), CPAN (CSD2007- 00042), Junta de Andalucía (FQM 101, FQM 437, FQM 225, and FQM 022), by the Deutsche Forschungsgemeinschaft DFG through the Collaborative Research Center “The Low-Energy Frontier of the Standard Model” (SFB 1044), by Polish Ministry of Science and Higher Education, grant N N202 263438, and by National Science, grant DEC-2011/01/D/ST2/00772.
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