Exchange-Degeneracy Classification of Regge Trajectories and the Total Cross Sections

1966 ◽  
Vol 16 (21) ◽  
pp. 952-955 ◽  
Author(s):  
Akbar Ahmadzadeh
Keyword(s):  
Cross Sections ◽  
Exchange Degeneracy ◽  
Total Cross Sections ◽  
Regge Trajectories

scholarly journals THE POMERON AND ODDERON IN ELASTIC, INELASTIC AND TOTAL CROSS-SECTIONS AT THE LHC

2011 ◽  
Vol 26 (27n28) ◽  
pp. 4755-4771 ◽  
Author(s):  
L. L. JENKOVSZKY ◽  
A. I. LENGYEL ◽  
D. I. LONTKOVSKYI
Keyword(s):  
Simple Model ◽  
Cross Section ◽  
Cross Sections ◽  
Energy Region ◽  
Scattering Amplitude ◽  
Total Cross Sections ◽  
Regge Trajectories ◽  
Relative Contribution ◽  
Main Emphasis

A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze pp and [Formula: see text] scattering. The main emphasis is on the delicate and nontrivial dynamics in the dip-bump region, near t = -1 GeV 2. The simplicity of the model and the expected smallness of the absorption corrections enables one the control of various contributions to the scattering amplitude, in particular the interplay between the C-even and C-odd components of the amplitude, as well as their relative contribution, changing with s and t. The role of the nonlinearity of the Regge trajectories is scrutinized. The ratio of the real to imaginary parts of the forward amplitude, the ratio of elastic to total cross-sections and the inelastic cross-section are calculated. Predictions for the LHC energy region, where most of the existing models will be either confirmed or ruled out, are presented.

Proton-Proton Total Cross Sections and the Neglect of Masses in Data Fitting in the Regge Region

1981 ◽  
Vol 34 (2) ◽  
pp. 121 ◽  
Author(s):  
Mujahid Kamran
Keyword(s):  
Cross Sections ◽  
Data Fitting ◽  
Exchange Degeneracy ◽  
Interacting Particles ◽  
Proton Proton ◽  
Total Cross Sections ◽  
Regge Region ◽  
The Masses ◽  
Fitting In

It is shown by taking the example of pp total cross .sections that the use of the approximation s ~ 2qs-t while fitting data in the Regge region can be misleading. Several standard fits to O"tot(pp) data are based on the assumption of weak p-f-w-A2 exchange degeneracy (EXD). However, these fits involve the use of the approximation mentioned. We find, quite surprisingly, that it is impossible to fit the O"tot(pp) data in the range 6 ~ Plab ~ 2092 GeVjc using the precise factor 2qs~ in conjunction with weak p-f-w-A2 EXD. OUf investigation shows that O"tot(pp) data alone seem to indicate either a breaking of weak p-f-w-A 2 EXD or the presence of low-lying contributions, or both, provided one does not ignore the masses of the interacting particles in data fitting in the Regge region (Plab ;:;: 5 GeVjc). Caution is therefore urged in the use of such approximations in phenomenological calculations.

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