Real Part of the Scattering Amplitude and the Behavior of the Total Cross Section at High Energies

1965 ◽  
Vol 137 (3B) ◽  
pp. B720-B729 ◽  
Author(s):  
N. N. Khuri ◽  
T. Kinoshita
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
High Energies

INSTANTON-INDUCED CROSS-SECTION AT HIGH ENERGIES: LEADING ORDER AND BEYOND

1990 ◽  
Vol 05 (24) ◽  
pp. 1983-1991 ◽  
Author(s):  
S. YU. KHLEBNIKOV ◽  
V. A. RUBAKOV ◽  
P. G. TINYAKOV
Keyword(s):  
Total Cross Section ◽  
Explicit Form ◽  
Cross Section ◽  
High Energy ◽  
Electroweak Theory ◽  
Leading Order ◽  
Instanton Action ◽  
High Energies ◽  
High Energy Collisions ◽  
The One

We study the total cross-section of high energy collisions in the one-instanton sector of purely bosonic theories with instantons. We find that in the limit g2 → 0, E/E sph = fixed , the leading behavior of the total cross-section is σ lot ~ exp [1/g2(−2S0 + F(E/E sph ))], where S0 is the instanton action. In the electroweak theory at E/E sph ≪ 1, the function F(E/E sph ) is determined by the gauge boson part of the instanton configuration and its explicit form is found.

scholarly journals First determination of the $${\rho }$$ parameter at $${\sqrt{s} = 13}$$ TeV: probing the existence of a colourless C-odd three-gluon compound state

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
G. Antchev ◽  
P. Aspell ◽  
I. Atanassov ◽  
V. Avati ◽  
J. Baechler ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Theoretical Models ◽  
Proton Proton ◽  
Slowing Down ◽  
Proton Elastic Scattering ◽  
Compound State ◽  
Elastic Scattering Amplitude

Abstract The TOTEM experiment at the LHC has performed the first measurement at $$\sqrt{s} = 13\,\mathrm{TeV}$$s=13TeV of the $$\rho $$ρ parameter, the real to imaginary ratio of the nuclear elastic scattering amplitude at $$t=0$$t=0, obtaining the following results: $$\rho = 0.09 \pm 0.01$$ρ=0.09±0.01 and $$\rho = 0.10 \pm 0.01$$ρ=0.10±0.01, depending on different physics assumptions and mathematical modelling. The unprecedented precision of the $$\rho $$ρ measurement, combined with the TOTEM total cross-section measurements in an energy range larger than $$10\,\mathrm{TeV}$$10TeV (from 2.76 to $$13\,\mathrm{TeV}$$13TeV), has implied the exclusion of all the models classified and published by COMPETE. The $$\rho $$ρ results obtained by TOTEM are compatible with the predictions, from other theoretical models both in the Regge-like framework and in the QCD framework, of a crossing-odd colourless 3-gluon compound state exchange in the t-channel of the proton–proton elastic scattering. On the contrary, if shown that the crossing-odd 3-gluon compound state t-channel exchange is not of importance for the description of elastic scattering, the $$\rho $$ρ value determined by TOTEM would represent a first evidence of a slowing down of the total cross-section growth at higher energies. The very low-|t| reach allowed also to determine the absolute normalisation using the Coulomb amplitude for the first time at the LHC and obtain a new total proton–proton cross-section measurement $$\sigma _{\mathrm{tot}} = (110.3 \pm 3.5)\,\mathrm{mb}$$σtot=(110.3±3.5)mb, completely independent from the previous TOTEM determination. Combining the two TOTEM results yields $$\sigma _{\mathrm{tot}} = (110.5 \pm 2.4)\,\mathrm{mb}$$σtot=(110.5±2.4)mb.

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.

scholarly journals A modification potential method for total cross section calculation of electron scattering by molecules at medium and high energies

2006 ◽  
Vol 55 (8) ◽  
pp. 4096
Author(s):  
Shi De-Heng ◽  
Sun Jin-Feng ◽  
Liu Yu-Fang ◽  
Ma Heng ◽  
Zhu Zun-Lue
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Electron Scattering ◽  
Potential Method ◽  
High Energies

DYNAMICAL STRING MODEL ON THE BASIS OF A SEMICLASSICAL UNIFIED STRING-FLUX TUBE MODEL

1991 ◽  
Vol 06 (25) ◽  
pp. 4395-4435 ◽  
Author(s):  
K. SAILER ◽  
TH. SCHÖNFELD ◽  
ZS. SCHRAM ◽  
A. SCHÄFER ◽  
W. GREINER
Keyword(s):  
Numerical Simulation ◽  
Total Cross Section ◽  
Cross Section ◽  
Flux Tube ◽  
String Model ◽  
High Energy ◽  
Tube Model ◽  
Flux Tubes ◽  
Hadron Interaction ◽  
High Energies

We present the dynamical string model of high-energy hadronic processes, developed by us recently. To describe the dynamical aspects of the decay of hadrons and those of the hadron-hadron interaction correctly, a semiclassical unified string-flux tube model of hadrons is used. Specific aspects of this model are discussed: (i) the transverse extension of gluon flux tubes, (ii) the decay of highly excited flux tubes, (iii) the gluon structure functions of hadronic flux tubes and their connection with the total cross section of the flux tube-flux tube interaction at high energies. The dynamical string model is applied to the numerical simulation of e+e− annihilation and pp collision at high energies.

Electromagnetic scattering by a perfectly conducting elliptic disk

1987 ◽  
Vol 65 (7) ◽  
pp. 723-734 ◽  
Author(s):  
Jonas Björkberg ◽  
Gerhard Kristensson
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Electromagnetic Scattering ◽  
Recurrence Relations ◽  
Scattering Amplitude ◽  
Azimuthal Angle ◽  
Low Frequency ◽  
Prolate Spheroid ◽  
Numerical Computations ◽  
Theoretical Results

Electromagnetic scattering from a perfectly conducting elliptic disk is treated by means of the null-field approach. The disk is obtained as the zero-thickness limit of an ellipsoid. It is shown that in this limit all relevant matrix elements have a well-defined limit. Owing to the lack of axial symmetry, an integral that can not be solved analytically remains in the azimuthal angle. In an appendix, an efficient algorithm to solve these integrals by means of recurrence relations is presented. The formalism is attractive for numerical computations, and stable results for very eccentric disks have been obtained. The first few terms in the low-frequency expansion of the total cross section are derived. Numerical computations of the scattering amplitude and the total cross section illustrate the theoretical results. In a final appendix, the thin wire limit of the elliptic disk is discussed, and a comparison with corresponding results of a prolate spheroid is presented.

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