scholarly journals Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory

2003 ◽  
Vol 68 (4) ◽  
Author(s):  
D. R. Entem ◽  
R. Machleidt
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Chiral Perturbation Theory ◽  
Nucleon Nucleon ◽  
Chiral Perturbation ◽  
Nucleon Potential

scholarly journals Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
D. Siemens ◽  
V. Bernard ◽  
E. Epelbaum ◽  
A. M. Gasparyan ◽  
H. Krebs ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Nucleon Scattering ◽  
Pion Nucleon

scholarly journals ADVANCES IN A FIELD-THEORETIC UNDERSTANDING OF PION PRODUCTION IN NUCLEON–NUCLEON COLLISIONS

2007 ◽  
Vol 22 (02n03) ◽  
pp. 591-595 ◽  
Author(s):  
VADIM LENSKY ◽  
JOHANN HAIDENBAUER ◽  
CHRISTOPH HANHART ◽  
VADIM BARU ◽  
ALEXANDER KUDRYAVTSEV ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Cross Section ◽  
Chiral Perturbation Theory ◽  
Pion Production ◽  
Nucleon Nucleon ◽  
Leading Order ◽  
Production Amplitude ◽  
Chiral Perturbation ◽  
Phenomenological Studies ◽  
The Cross

We study the production amplitude for the reaction NN → NNπ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell parts of the πN rescattering vertex. This cancellation is required for formal consistency of the whole scheme. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3 compared to phenomenological studies, bringing its contribution to the cross section for pp → dπ+ close to the experimental value.

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