scholarly journals Effects of the Resonance Scattering Amplitude at High Energies

1968 ◽  
Vol 40 (2) ◽  
pp. 317-330
Author(s):  
Masako Bando ◽  
Shigeru Machida
Keyword(s):  
Scattering Amplitude ◽  
Resonance Scattering ◽  
High Energies

Small-Angle Elastic Pion-Proton Scattering at High Energies and the Real Part of the Scattering Amplitude

1965 ◽  
Vol 14 (21) ◽  
pp. 862-866 ◽  
Author(s):  
K. J. Foley ◽  
R. S. Gilmore ◽  
R. S. Jones ◽  
S. J. Lindenbaum ◽  
W. A. Love ◽  
...  
Keyword(s):  
Small Angle ◽  
Scattering Amplitude ◽  
Proton Scattering ◽  
The Real ◽  
High Energies

scholarly journals What is duality?

1970 ◽  
Vol 318 (1534) ◽  
pp. 257-278 ◽  
Keyword(s):  
Sum Rules ◽  
Scattering Amplitude ◽  
Finite Energy ◽  
High Energy ◽  
Low Energy ◽  
Strong Interactions ◽  
High Energies ◽  
Resonance Formation ◽  
Interference Models ◽  
Regge Poles

Duality gives a satisfying connexion between two different areas of strong interaction physics, Regge poles at high energy and resonances at low energy. This interlocking gives powerful bootstrap conditions, and together with the assumption that certain channels do not contain resonances it gives strong restrictions on the hadron spectrum. Since there is some confusion about the term duality, we shall explain what is meant by the various forms of duality (f. e. s. r. (finite energy sum rules) duality, local duality), and what is meant by ‘building up’, and we shall show in what way antidual models (such as the generalized interference model) come into conflict with basic empirical facts. Duality expresses the relation between two descriptions of the hadronic scattering amplitude. At low energy (l. e.) the description by direct-channel resonances is simple and useful (see figure 1). At low energy the data show prominent peaks as a function of energy, and one may try the approximation of resonance saturation, i. e. of neglecting the non-resonating background. The second description is the exchange of Regge poles, and it is useful at high energies (h.e.), where typical features are forward peaks, energy dependence s α , and structure at fixed t (see figure 2). The two descriptions are very different; resonance formation corresponds to poles in the s channel, Regge exchange to poles in the t channel. Duality says that there are direct relations between these two descriptions, that they are equivalent in a certain sense. In complete contrast, the interference models postulate that one must add the two descriptions. (If lowest order perturbation theory was relevant to strong interactions, one would be led to adding the diagrams.)

SCATTERING AMPLITUDE ZERO IN dū→γH−

1988 ◽  
Vol 03 (12) ◽  
pp. 1199-1203 ◽  
Author(s):  
XIAO-GANG HE ◽  
H. LEW
Keyword(s):  
Angular Distribution ◽  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Higgs Bosons ◽  
Factorization Property ◽  
High Energies ◽  
Charged Higgs ◽  
Charged Higgs Bosons

In models with physical charged Higgs bosons, the angular distribution of dū→γH− exhibits a factorization property. The differential cross section has a zero at the scattering cos -1(-⅓) in the γH− C.M. frame. The processes [Formula: see text] are also studied. It is found, at high energies, that the contribution of the sea quarks are significant enough to wash the zero away.

Optisches Potential für hohe Energien

1968 ◽  
Vol 23 (12) ◽  
pp. 1888-1893
Author(s):  
M. Weigel ◽  
D. Mack
Keyword(s):  
Numerical Calculation ◽  
Autocorrelation Function ◽  
Imaginary Part ◽  
Optical Potential ◽  
Scattering Amplitude ◽  
Density Fluctuations ◽  
The Real ◽  
Elementary Derivation ◽  
High Energies

An elementary derivation of the optical potential for high energies is given. For the determination of the optical potential only the knowledge of the scattering amplitude for free nucleons and of the autocorrelation function for density fluctuations is necessary. The numerical calculation of the real- and imaginary part of the optical potential was performed using the Tabakin potential.

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