A Refinement of the Kato-Rosenblum Lemma and Its Applications in Scattering Theory: Relativistic Potential Scattering, High Energy Behaviour of Scattering Cross Sections and the Time-Delay Operator

1974 ◽  
pp. 173-191
Author(s):  
Ph. Martin ◽  
B. Misra
Keyword(s):  
Time Delay ◽  
Cross Sections ◽  
Scattering Theory ◽  
High Energy ◽  
Potential Scattering ◽  
Scattering Cross ◽  
Energy Behaviour ◽  
Relativistic Potential ◽  
Scattering Cross Sections ◽  
Delay Operator

scholarly journals On the role of longitudinal momenta in high energy hadron-hadron scattering

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Igor Sharf ◽  
Andrii Tykhonov ◽  
Grygorii Sokhrannyi ◽  
Maksym Deliyergiyev ◽  
Natalia Podolyan ◽  
...  
Keyword(s):  
Inelastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
High Energy ◽  
Momentum Conservation ◽  
Scattering Cross ◽  
Energy Hadron ◽  
Scattering Cross Sections ◽  
Energy Momentum Conservation

AbstractWe demonstrate a new method to calculate inelastic scattering cross-sections, which in contrary to the Regge-based methods takes into account the energy momentum conservation law. It is shown that the main contribution to integral expressing inelastic scattering cross-sections does not come from the multi-Regge domain. In particular, accounting for the longitudinal momenta contribution to virtualities is sufficient and results in the new mechanism of cross-section growth. The reasons for taking into account the sufficiently high number of interference contributions are shown and the approximate method for this purpose is developed. By fitting single free parameter of the model achieved a qualitative agreement of the total and inelastic cross sections with experimental data.

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