scholarly journals Pion-nucleon scattering and pion production in nucleon-nucleon and nucleus-nucleus collisions

1982 ◽  
Author(s):  
C.B. Dover
Keyword(s):  
Pion Production ◽  
Nucleon Nucleon ◽  
Nucleon Scattering ◽  
Pion Nucleon

scholarly journals Two-Pion Exchange Nuclear Potential — Chiral Cancellations

1997 ◽  
Vol 06 (01) ◽  
pp. 83-88 ◽  
Author(s):  
J.-L. Ballot ◽  
M. R. Robilotta ◽  
C. A. da Rocha
Keyword(s):  
Chiral Symmetry ◽  
Nucleon Nucleon ◽  
Pion Exchange ◽  
Nuclear Potential ◽  
Nucleon Interaction ◽  
Nucleon Scattering ◽  
Pion Nucleon ◽  
Nucleon Nucleon Interaction

We show that chiral symmetry is responsible for large cancellations in the two-pion exchange nucleon-nucleon interaction, which are similar to those occurring in free pion-nucleon scattering.

A resonance model for pion production in nucleon-nucleon collisions at fairly low energies

1958 ◽  
Vol 244 (1239) ◽  
pp. 491-523 ◽  
Keyword(s):  
Angular Momentum ◽  
Cross Sections ◽  
Pion Production ◽  
Neutral Pion ◽  
Mass Difference ◽  
Nucleon Nucleon ◽  
Resonance Model ◽  
Low Energies ◽  
Pion Nucleon ◽  
The Difference

Cross-sections for pion production in nucleon-nucleon collisions are calculated on the assumption that the production takes place into a few angular momentum states only, and that the matrix element for each particular transition is constant except for factors due to the final-state pion-nucleon and nucleon-nucleon interactions. The outgoing pion is assumed to be in a resonant (3/2, 3/2) state with one of the nucleons. The angular momentum states introduced are compared with those of Rosenfeld (1954) and Gell-Mann & Watson (1954). It is found that a three-parameter theory can give a good account of most of the experiments on pion production, both total and differential, up to 660 MeV, except near threshold when non-resonance production is important and further parameters are necessary. Energy distribution and angular correlation experiments bring out the importance of the pion-nucleon resonance. The cross-section for neutral pion production is predicted fairly accurately in terms of that for positive pion production from threshold to 660 MeV; at 660 MeV, the calculated positive:neutral ratio is 3⋅9. The difference between this value and that of Peaslee (1954) is partly due to the mass difference between the positive and neutral pion and partly to the inclusion of interference effects between the outgoing nucleons.

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