scholarly journals DISPERSION RELATIONS FOR PION PRODUCTION IN PION-NUCLEON COLLISIONS

1960 ◽  
Vol 16 (5) ◽  
pp. 252
Author(s):  
CHOU KUAN-CHAO ◽  
DAI YUAN-BEN
Keyword(s):  
Pion Production ◽  
Dispersion Relations ◽  
Pion Nucleon

PWA OF πN SCATTERING WITH FIXED-t DISPERSION RELATIONS

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1810-1813
Author(s):  
PEKKO PIIROLA ◽  
M. E. SAINIO
Keyword(s):  
Data Base ◽  
Forward Direction ◽  
Dispersion Relations ◽  
Data Sets ◽  
Coupling Constant ◽  
Partial Waves ◽  
Scattering Measurements ◽  
Pion Nucleon ◽  
Good Agreement

The πN scattering measurements from last couple of decades are not in very good agreement with each other. In fact, using the different data sets one finds different values for the pion-nucleon coupling constant. An analysis with theoretical constraints is the only way to produce accurate partial waves. In this analysis, the fixed-t dispersion relations are used to ensure analyticity in the invariant amplitudes and to decrease the effects of inaccuracies in the data base. Pietarinen's expansion is the method used to enforce the dispersion constraints. The strength of the analyticity constraints is illustrated with C± amplitudes in the forward direction.

scholarly journals Partial wave analysis of HADES data for two-pion production in pion-nucleon reactions

2019 ◽  
Vol 199 ◽  
pp. 02001
Author(s):  
I. Ciepał ◽  
W. Przygoda ◽  
A. V. Sarantsev
Keyword(s):  
Partial Wave ◽  
Pion Production ◽  
Meson Production ◽  
Resonance Region ◽  
Partial Wave Analysis ◽  
Wave Analysis ◽  
Final State ◽  
Hades Collaboration ◽  
Pion Nucleon

Pion beams are perfect tools to probe resonance excitations at a fixed energy, thus properties of baryonic resonances and their coupling channels can be studied. The HADES Collaboration performed a systematic scan around the second resonance region at four different pion beam momenta 0.656, 0.69, 0.748 and 0.8 GeV/c in π− p reaction. The role of the N(1520) resonance in conjunction with the intermediate ρ-meson production has been studied in the framework of a partial wave analysis. Preliminary results on exclusive channels with one pion (π− p) and two pions (nπ+π− and pπ−π0) in the final state are presented.

Fixed angle dispersion relations and t-channel contribution in photo-pion production

1972 ◽  
Vol 45 (1) ◽  
pp. 61-70
Author(s):  
B. Dutta-Roy ◽  
S. Mallik ◽  
S.R. Roy
Keyword(s):  
Pion Production ◽  
Dispersion Relations ◽  
Fixed Angle

An Experimental Test of the Pion-Nucleon Forward Dispersion Relations at High Energies.

1967 ◽  
Vol 19 (10) ◽  
pp. 622-622 ◽  
Author(s):  
K. J. Foley ◽  
R. S. Jones ◽  
S. J. Lindenbaum ◽  
W. A. Love ◽  
S. Ozaki ◽  
...  
Keyword(s):  
Experimental Test ◽  
Dispersion Relations ◽  
High Energies ◽  
Pion Nucleon
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