scholarly journals On elastic scattering amplitude of planar charged fermions in a constant magnetic field

2019 ◽  
Vol 34 (30) ◽  
pp. 1950189 ◽  
Author(s):  
V. R. Khalilov
Keyword(s):  
Magnetic Field ◽  
Elastic Scattering ◽  
Constant Magnetic Field ◽  
Quantum Electrodynamics ◽  
Scattering Amplitude ◽  
Total Probability ◽  
Elastic Scattering Amplitude ◽  
Loop Approximation ◽  
Analytical Formulas ◽  
The One

The elastic scattering amplitude (ESA) is obtained in the one-loop approximation of the (2[Formula: see text]+[Formula: see text]1)-dimensional quantum electrodynamics (QED[Formula: see text]) for planar charged fermions in an external constant magnetic field. We obtain the elastic scattering amplitude in the corresponding massive theory and then discuss and calculate the massless limit of ESA. The imaginary part of ESA are related to the total probability of photons emission by charged fermions in the considered magnetic field. Simple analytical formulas are obtained when planar charged fermions in initial states occupy high excited Landau levels.

On the creation of charged massless fermion pair by a photon in an external constant uniform magnetic field in 2+1 dimensions

2020 ◽  
Vol 35 (31) ◽  
pp. 2050204
Author(s):  
V. R. Khalilov
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Elastic Scattering ◽  
Quantum Electrodynamics ◽  
Uniform Magnetic Field ◽  
Scattering Amplitude ◽  
Massless Fermion ◽  
Fermion Pair ◽  
Elastic Scattering Amplitude ◽  
Loop Approximation

Creation of charged massless fermion pair by a photon in a constant uniform magnetic field is considered in the one-loop approximation of the [Formula: see text]-dimensional quantum electrodynamics (QED[Formula: see text]). We calculate the elastic scattering amplitude (EAS) of photon using the polarization operator of photon in the above magnetic field obtained earlier in our work. We analyze the elastic scattering amplitude of photon at various values of the photon energy and magnetic field strength. Very simple analytical formulas for EAS of photon are obtained in the so-called quasi-classical region. In the massive quantum electrodynamics the elastic scattering amplitude of photon defines its “mass” squared in the presence of external electromagnetic field and the imaginary part of EAS describes the total probability of charged massive fermion pair creation in the electromagnetic field; we assume that it is the case and in the massless quantum electrodynamics.

PARAMETRIZED t-MATRIX FOR pp → n Δ++ PROCESS

1992 ◽  
Vol 01 (01) ◽  
pp. 201-213 ◽  
Author(s):  
B. K. JAIN ◽  
A. B. SANTRA
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Scattering Amplitude ◽  
Single Scattering ◽  
Pion Exchange ◽  
Exchange Potential ◽  
Elastic Channel ◽  
Elastic Scattering Amplitude ◽  
T Matrix ◽  
The One

Considering that, in pp scattering, the pp → n Δ++ transition occurs mainly from the elastic channel, a t-matrix for this process was constructed by us earlier. This t-matrix describes the measured cross-sections on the p (p, n) Δ++ process very well from threshold to a few GeV. The transition potential in it is described by the one pion-exchange potential and the elastic scattering wave function through the "measured" elastic scattering amplitude. In this paper, we have parametrized this t-matrix so that it can be used for describing the (p, Δ++) reaction in nuclei. The parametrized t-matrix has been found to have a structure similar to one pion-exchange potential except that it has a softer form factor (Λ ≈ 650–800 MeV/c ) and it has a Migdal term (g′ ≈ 0.65) in the central term. The imaginary part of the t-matrix is weak. In the single scattering approximation this t-matrix describes the measured cross-sections on p(3 He , t) Δ++ and 6 Li (p, Δ++)6 He reactions very well. It is also found that with this t-matrix, the "projectile excitation" contribution to the reaction is small.

Glaubere−- Li elastic scattering amplitude

1976 ◽  
Vol 14 (1) ◽  
pp. 189-192 ◽  
Author(s):  
F. T. Chan ◽  
C. H. Chang
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Elastic Scattering Amplitude

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.

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