Dispersion relations for pion production in a pion-nucleon collision

1959 ◽  
Vol 11 (2) ◽  
pp. 229-252 ◽  
Author(s):  
G. R. Screaton
Keyword(s):  
Pion Production ◽  
Dispersion Relations ◽  
Nucleon Collision ◽  
Pion Nucleon

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

scholarly journals Pion Production in Pion-Nucleon Collision with Assumption of Strong Pion-Pion Interaction

1959 ◽  
Vol 22 (3) ◽  
pp. 448-451 ◽  
Author(s):  
D. Ito ◽  
M. Yamazaki ◽  
T. Kobayashi ◽  
K. Mori
Keyword(s):  
Pion Production ◽  
Pion Interaction ◽  
Nucleon Collision ◽  
Pion Nucleon

Pion-nucleon collision and single-pion production - II 02

1967 ◽  
Vol 51 (1) ◽  
pp. 40-73 ◽  
Author(s):  
A. M. Gleeson ◽  
K. T. Mahanthappa
Keyword(s):  
Pion Production ◽  
Nucleon Collision ◽  
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.

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