Dispersion Relations for Three-Particle Scattering Amplitudes. I

1966 ◽  
Vol 146 (4) ◽  
pp. 1130-1149 ◽  
Author(s):  
Morton Rubin ◽  
Robert Sugar ◽  
George Tiktopoulos
Keyword(s):  
Scattering Amplitudes ◽  
Dispersion Relations ◽  
Particle Scattering

Dispersion Relations for Three-Particle Scattering Amplitudes. II

1967 ◽  
Vol 159 (5) ◽  
pp. 1348-1362 ◽  
Author(s):  
Morton Rubin ◽  
Robert Sugar ◽  
George Tiktopoulos
Keyword(s):  
Scattering Amplitudes ◽  
Dispersion Relations ◽  
Particle Scattering

Dispersion Relations for Three-Particle Scattering Amplitudes. III.

1967 ◽  
Vol 162 (5) ◽  
pp. 1555-1569 ◽  
Author(s):  
M. H. Rubin ◽  
R. L. Sugar ◽  
George Tiktopoulos
Keyword(s):  
Scattering Amplitudes ◽  
Dispersion Relations ◽  
Particle Scattering

DIFFERENTIAL OPERATORS FOR SCATTERING AMPLITUDES

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Cross Section ◽  
Differential Form ◽  
Differential Operators ◽  
Dispersion Relations ◽  
Proton Scattering ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.

scholarly journals Normal Threshold Sheet Structure of Two-Particle Scattering Amplitudes

1965 ◽  
Vol 140 (4B) ◽  
pp. B1054-B1067 ◽  
Author(s):  
David J. Gross ◽  
John H. Schwarz
Keyword(s):  
Scattering Amplitudes ◽  
Particle Scattering ◽  
Normal Threshold ◽  
Sheet Structure

scholarly journals Sum Rules for Real Parts of Current-Particle Scattering Amplitudes

1972 ◽  
Vol 6 (12) ◽  
pp. 3506-3512 ◽  
Author(s):  
R. L. Heimann ◽  
A. J. G. Hey ◽  
J. E. Mandula
Keyword(s):  
Scattering Amplitudes ◽  
Sum Rules ◽  
Particle Scattering
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