QUASI-POSITRONIUM IN METALS

A variational search is made for a quasi-bound state of an electron–positron pair in a metal. The basic equation used is the effective Schrödinger equation derived from the electron–positron propagator in an approximation which accurately accounts for the two-body correlations. It is found that no such state exists in metals and hence it can have no influence on the positron annihilation rates. However, the state appears for electron gases of sufficiently low density, [Formula: see text],* and thus determines the low-density annihilation rates.

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

10.31219/osf.io/dv87x ◽

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.

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Dark Atoms and the Positron-Annihilation-Line Excess in the Galactic Bulge

Advances in High Energy Physics ◽

10.1155/2014/869425 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5 ◽

Cited By ~ 11

Author(s):

J.-R. Cudell ◽

M. Yu. Khlopov ◽

Q. Wallemacq

Keyword(s):

Dark Matter ◽

Positron Annihilation ◽

Cross Section ◽

Ground State ◽

Galactic Bulge ◽

Annihilation Line ◽

Electron Positron ◽

The Galaxy ◽

Stable Particles ◽

Electron Positron Pair

It was recently proposed that stable particles of charge −2,O--, can exist and constitute dark matter after they bind with primordial helium in O-helium (OHe) atoms. We study here in detail the possibility that this model provides an explanation for the excess of gamma radiation in the positron-annihilation line from the galactic bulge observed by INTEGRAL. This explanation assumes that OHe, excited to a 2s state through collisions in the central part of the Galaxy, deexcites to its ground state via anE0transition, emitting an electron-positron pair. The cross-section for OHe collisions with excitation to 2s level is calculated and it is shown that the rate of such excitations in the galactic bulge strongly depends not only on the mass of O-helium, which is determined by the mass ofO--, but also on the density and velocity distribution of dark matter. Given the astrophysical uncertainties on these distributions, this mechanism constrains theO--mass to lie in two possible regions. One of these is reachable in the experimental searches for stable multicharged particles at the LHC.

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Search for bound-state electron+positron pair decay

EPJ Web of Conferences ◽

10.1051/epjconf/201612304003 ◽

2016 ◽

Vol 123 ◽

pp. 04003 ◽

Cited By ~ 3

Author(s):

F. Bosch ◽

S. Hagmann ◽

P.-M. Hillenbrand ◽

G. J. Lane ◽

Yu. A. Litvinov ◽

...

Keyword(s):

Bound State ◽

State Electron ◽

Electron Positron ◽

Electron Positron Pair

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The Gluon

Concepts of Elementary Particle Physics ◽

10.1093/oso/9780198812180.003.0010 ◽

2019 ◽

pp. 149-168

Author(s):

Michael E. Peskin

Keyword(s):

Positron Annihilation ◽

Parton Distribution ◽

Bound State ◽

Distribution Functions ◽

Strong Interactions ◽

Parton Distribution Functions ◽

Electron Positron Annihilation ◽

Electron Positron ◽

Event Shapes

This chapter describes the description of the proton as a bound state of partons. After a review of the properties of parton distribution functions, it introduces the evidence for a component of the proton responsible for its binding. It introduces the model of strong interactions as mediated by a spin 1 gluon and presents the evidence for this model from event shapes in electron-positron annihilation to hadrons.

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Electron-positron pair production in the low-density approximation

Frontiers of Physics ◽

10.1007/s11467-015-0471-3 ◽

2015 ◽

Vol 10 (4) ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Nuriman Abdukerim ◽

Zi-Liang Li ◽

Bai-Song Xie

Keyword(s):

Pair Production ◽

Low Density ◽

Density Approximation ◽

Electron Positron ◽

Electron Positron Pair

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Quasi-bound state calculations for several types of potential in one-, two-, and three-dimensional systems, using perturbative techniques

Canadian Journal of Physics ◽

10.1139/p93-020 ◽

1993 ◽

Vol 71 (3-4) ◽

pp. 133-141 ◽

Cited By ~ 1

Author(s):

M. R. M. Witwit

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Dimensional Space ◽

Energy Levels ◽

Three Dimensional ◽

Bound State ◽

Inner Product ◽

Model Potentials ◽

Three Dimensional Space ◽

Quasi Bound State

The energy levels of the Schrödinger equation for various model potentials in one-, two-, and three-dimensional space are calculated using the hypervirial and inner product methods.

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Superluminal Electron-Positron Pair

10.21203/rs.3.rs-194218/v1 ◽

2021 ◽

Author(s):

J. D. Fan ◽

Jufu Tan

Keyword(s):

Basic Equation ◽

Structure Constant ◽

Life Time ◽

Coulomb Force ◽

Energy System ◽

Fine Structure Constant ◽

Ultrahigh Energy ◽

Electron Positron ◽

Electrons And Positrons ◽

Electron Positron Pair

Abstract It is deduced that when an electron and a positron form a stable structure, the dimensionless speed of either of them, α = v/C, where C is speed of light, satisfies the so-called basic equation of α^2 - b α = 1 = 0, where b is the reciprocal of α, the fine structure constant of a hydrogen atom. One of solutions to the basic equation, the superluminal speed, α 1 = b = 137.036, represents a superluminal pair of electron and positron, in which there is the Lorentz force only while neglecting the Coulomb force between the two particles at an ultrahigh speed. Another solution stands for a positronium with a short-lived life time. The superluminal pair of electron and positron or superluminal electron-positron pair consists of an electron and a positron moving at a superluminal speed of and has a stable quantized energy system with quantized energy of E ̃_n=2m_0e υ ̃_n^2=nhV ̃_n where v = nbC with n being an integer, and is able to radiate and absorb rays of electrons and positrons with ultrahigh energy. The superluminal electron-positron pair may possibly be a particle of dark matter. A divided superluminal electron-positron pair on an energy level n can release electrons and positrons, moving at a superluminal speed of v = nbC, which may possibly be particles of dark energy as well. Therefore, we are led to conclude that there might exist quantized superluminal motions of electrons and positrons in the universe.

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Direct, Resonant Production of States with Positive Charge Conjugation in Electron-Positron Annihilation

EPJ Web of Conferences ◽

10.1051/epjconf/201921802010 ◽

2019 ◽

Vol 218 ◽

pp. 02010

Author(s):

Henryk Czyż ◽

Johann H. Kühn ◽

Szymon Tracz

Keyword(s):

Positron Annihilation ◽

Relative Phase ◽

Positive Charge ◽

Practical Purpose ◽

The State ◽

Recent Theory ◽

Production Amplitude ◽

Direct Production ◽

Electron Positron Annihilation ◽

Electron Positron

Recent theory results on direct production of resonances with positive charge conjugationin electron-positron annihilation are reviewed. The strong modeldependence is emphasized, with predictions varying between 0.03 eV and 0.43 eV for the charmonium state with JPC = 1++ and between0.16 eV and4.25 eV for the state with JPC =2++. For the state with JPC = 0++ the cross section is of O $ \left( {\mathop m\nolimits_e^2 /\mathop M\nolimits_x^2 } \right) $ and thus negligeable for all practical purpose. The importance of the relative phase of the production amplitude is emphasized.

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