S-matrix theory of weak interactions and the electron-positron pair annihilation process e- + e+ → v + ¯ v

1976 ◽  
Vol 16 (8) ◽  
pp. 245-251
Author(s):  
M. Abak
Keyword(s):  
Matrix Theory ◽  
Weak Interactions ◽  
Annihilation Process ◽  
Electron Positron ◽  
Pair Annihilation ◽  
S Matrix ◽  
Electron Positron Pair

scholarly journals Is this the possible explanation to the unpredictability of the direction of of gamma ray emission during electron-positron annihilation ?

2021 ◽  
Author(s):  
Jayaram as
Keyword(s):  
Quantum Mechanics ◽  
Positron Annihilation ◽  
Alternative Explanation ◽  
Gamma Ray ◽  
Classical Mechanics ◽  
Annihilation Process ◽  
Electron Positron Annihilation ◽  
Electron Positron ◽  
Gamma Ray Emission ◽  
Electron Positron Pair

This paper shows the various parameters to be considered, duringelectron - positron annihilation. Many of the theories suggest that directionof gamma ray emission cannot be predicted. This is normally justifiedby using quantum mechanics. This paper gives an alternative explanation tounpredictability of gamma ray direction. This explanation does not require thelogic of quantum mechanics. It requires modification of classical mechanics toaccount of the forces between colliding particles.The logic of this paper is thatin case of pair production involving gamma ray and electron- positron pair, theclassical mechanics calculation itself shows perfect conservation of directionand magnitude of momentum. There, a little recoiling of the nucleus is observedfor conserving momentum. Hence it must be possible to use classicalmechanics for the process of electron- positron annihilation process also.

The Conservation of Energy and Momentum in the Positron-Electron Annihilation According to Complete Relativity

2014 ◽  
Vol 5 (3) ◽  
pp. 854-858
Author(s):  
Giuseppe Bellotti
Keyword(s):  
Three Dimensional ◽  
Standing Waves ◽  
Energy Conditions ◽  
Conservation Of Energy ◽  
Electron Positron ◽  
Pair Annihilation ◽  
Conservation Of Momentum ◽  
Energy And Momentum ◽  
The Right ◽  
Electron Positron Pair

According to Complete Relativity (an improvement of Special Relativity where a new postulate was introduced: an electron cannot move at average speeds less than  u0 = αc / π  where  α  is the constant of fine structure and  c  is the speed of light), and with the hypothesis that the electron and positron are two three-dimensional electromagnetic spherical standing waves, the electromagnetic standing waves of an electron-positron pair can overlap in the low energy conditions and generate a single  γ ray  of  E = 1.022  MeV.  Instead the actual physical theories consider a model of positron-electron pair annihilation, where conservation of momentum requires the creation of two 511 keV photons moving toward opposite directions. But in the paper we do not consider any photons: there is only a progressive electromagnetic wave compound by two electromagnetic standing waves. Only a thorough test will be able to decide the right model.

QUANTUM-ELECTRODYNAMIC PROCESSES IN A RADIATION-DOMINATED ROBERTSON-WALKER UNIVERSE

1992 ◽  
Vol 07 (09) ◽  
pp. 2055-2086 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
L.I. TSAREGORODTSEV
Keyword(s):  
Quantum Electrodynamics ◽  
Line Element ◽  
Total Probability ◽  
Matrix Formalism ◽  
Differential Probability ◽  
Electron Positron ◽  
S Matrix ◽  
Expansion Of The Universe ◽  
The Universe ◽  
Electron Positron Pair

Quantum electrodynamics in an expanding Robertson-Walker universe with the line element ds2=dt2 – a2(t)(dx2+dy2+dz2) (radiation-dominated universe) is considered. The differential probability of bremsstrahlung of an electron in the external gravitational field and the differential probability of an electron-positron pair and photon creation from the vacuum are calculated by using the perturbative S-matrix formalism. The behavior of these probabilities in different kinematic regions is investigated. The total probabilities are shown to be finite. In conclusion, the total probability of a pair and photon creation from vacuum We is compared with the total probability of pair production due to an expansion of the universe W0. The comparison shows that We=1.9·10−2W0 at about the Compton time of an electron.

Sign in / Sign up

Export Citation Format

Share Document