On the high energy behaviour of the pion — Nucleon elastic scattering amplitude

1961 ◽  
Vol 13 (1) ◽  
pp. 89-97 ◽  
Author(s):  
G. Domokos
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
High Energy ◽  
Elastic Scattering Amplitude ◽  
Energy Behaviour ◽  
Pion Nucleon

scholarly journals ANALYSIS OF pp AND $\bar pp$ ELASTIC SCATTERING BASED ON HIGH ENERGY BOUNDS

2010 ◽  
Vol 25 (29) ◽  
pp. 5333-5348 ◽  
Author(s):  
S. D. CAMPOS ◽  
V. A. OKOROKOV
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Hadron Collider ◽  
High Energy ◽  
Scattering Data ◽  
Optical Theorem ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Energy Bounds ◽  
Elastic Scattering Amplitude

Considering the Froissart–Martin bound, Jin–Martin–Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton–proton and antiproton–proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the ρ parameter. Simultaneous fits to σtot and ρ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to σtot and ρ at energies not used in the fit procedures are presented. For σtot we obtain predictions at RHIC, LHC and future hadron collider energies.

Kohärente Kleinwinkelstreuung hochenergetischer Pi-Mesonen an leichten Kernen ( 3He und 4 He)

1970 ◽  
Vol 25 (6) ◽  
pp. 853-862
Author(s):  
Hans Baier
Keyword(s):  
Angular Distribution ◽  
Elastic Scattering ◽  
Small Angle ◽  
Scattering Amplitude ◽  
High Energy ◽  
Concise Report ◽  
Present Context ◽  
Pion Nucleon ◽  
Energy Processes ◽  
Theoretical Results

Abstract The paper discusses recently obtained (theoretical) results on the coherent small angle elastic scattering of high energy pions on the nuclei 3 He and 4 He. Starting with the full suitably parametrized spin- and isospindependent pion-nucleon amplitude for pion laboratory energies between 0.826 and 2.01 GeV the Glauber’s plural scattering formula has been applied to derive the angular distribution of scattered pions. A concise report on the use of coherent high energy processes in the investigation of the nuclear structure and the hadron-nucleon scattering amplitude is given. The advantages and shortcomings as well as possible generalizations of the plural scattering model are outlined. The formalism applied to derive results on the structure of 3 He and 4 He and the conclusions drawn from the results on pion-helium scattering are presented in detail. It has been shown that an effective pion nucleon amplitude may safely replace the full amplitude in the present context and in the energy region mentioned above.

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