Exchange Degeneracy and Duality in a Generalized Interference Model

1972 ◽  
Vol 50 (17) ◽  
pp. 2033-2036
Author(s):  
R. K. Logan
Keyword(s):  
Scattering Amplitude ◽  
Low Energy ◽  
The Other ◽  
Interference Model ◽  
Exchange Degeneracy ◽  
Exotic Mesons ◽  
Energy Scattering ◽  
Strong Exchange ◽  
Regge Poles

We consider a generalized interference model in which the Pomeron and the other Regge poles are built in the sense of a FESR bootstrap from both the resonance and background part of the low energy scattering amplitude. We develop a test of strong exchange degeneracy on the background part of the low energy scattering amplitude through the use of FESR. We show that the restrictions through FESR imposed by exchange degeneracy are weaker than those of duality. Finally, we are able to relate the amount of duality breaking in [Formula: see text] in the absence of exotic mesons to the ratio of NN or πN, P′, and ρ Regge residues.

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.)

Importance of the nucleon Fermi motion in the pion–nucleus elastic scattering

1977 ◽  
Vol 55 (24) ◽  
pp. 2158-2165 ◽  
Author(s):  
K. Nakano ◽  
Chi-Shiang Wu
Keyword(s):  
Elastic Scattering ◽  
Multiple Scattering ◽  
Scattering Theory ◽  
Scattering Amplitude ◽  
Low Energy ◽  
Multiple Scattering Theory ◽  
Fermi Motion ◽  
Energy Scattering ◽  
Careful Treatment ◽  
Nucleus Scattering

The importance of the nucleon Fermi motion in π–nucleus elastic scattering is investigated in the framework of the multiple scattering theory. Conventional factorization approximations on the π–nucleus scattering amplitude are compared with calculations that take into account the nucleon Fermi motion by using π–12C as an example. The importance of a careful treatment of the Fermi motion in low energy scattering will be stressed.

scholarly journals An analytical toolkit for the S-matrix bootstrap

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Miguel Correia ◽  
Amit Sever ◽  
Alexander Zhiboedov
Keyword(s):  
Inversion Formula ◽  
Scattering Amplitude ◽  
Finite Energy ◽  
Numerical Approach ◽  
Low Energy ◽  
The Other ◽  
Elastic Unitarity ◽  
S Matrix ◽  
Local Bound ◽  
Large Spin

Abstract We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d≥ 3 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the S-matrix bootstrap and how it can be improved based on the results of our analysis.

scholarly journals GRAVITY ON NONCOMMUTATIVE D-BRANES

2003 ◽  
Vol 18 (07) ◽  
pp. 1051-1066 ◽  
Author(s):  
F. ARDALAN ◽  
H. ARFAEI ◽  
M. R. GAROUSI ◽  
A. GHODSI
Keyword(s):  
String Theory ◽  
Effective Action ◽  
Low Energy ◽  
Bosonic String ◽  
First Order ◽  
Energy Scattering ◽  
Bosonic String Theory ◽  
Brane Action

The effective action for the low energy scattering of two gravitons with a D-brane in the presence of a constant antisymmetric B field in bosonic string theory is calculated and the modification to the standard D-brane action to first order in α′ is obtained.

Low energy scattering of positrons by

2010 ◽  
Vol 268 (2) ◽  
pp. 178-182 ◽  
Author(s):  
F. Arretche ◽  
W. Tenfen ◽  
K.T. Mazon ◽  
S.E. Michelin ◽  
M.A.P. Lima ◽  
...  
Keyword(s):  
Low Energy ◽  
Energy Scattering
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