# Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier

@article{Ackad2008CalculationOE,
title={Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier},
author={Edward Ackad and M. Horbatsch},
journal={Physical Review A},
year={2008},
volume={78},
pages={062711}
}
• Published 2008
• Physics
• Physical Review A
The time-dependent Dirac equation was solved for zero-impact-parameter bare U-U collisions in the monopole approximation using a mapped Fourier grid matrix representation. A total of 2048 states including bound, as well as positive- and negative-energy states for an $N=1024$ spatial grid were propagated to generate occupation amplitudes as a function of internuclear separation. From these amplitudes spectra were calculated for total inclusive positron and electron production, and also the… Expand
23 Citations

#### Figures and Tables from this paper

Pair production in low-energy collisions of uranium nuclei beyond the monopole approximation
• Physics
• 2017
Abstract A method for calculation of electron-positron pair production in low-energy heavy-ion collisions beyond the monopole approximation is presented. The method is based on the numerical solvingExpand
Estimating the radiative part of QED effects in superheavy nuclear quasimolecules
• Physics
• 2018
A method for calculating the electronic levels in the compact superheavy nuclear quasi-molecules, based on solving the two-center Dirac equation (DE) using the multipole expansion of two-centerExpand
Quantum microscopic approach to low-energy heavy ion collisions
• Physics
• 2013
The Time-dependent Hartree-Fock (TDHF) theory is applied to the study of heavy ion collisions at energies around the Coulomb barrier. The competition between fusion and nucleon transfer mechanisms isExpand
Supercritical QED and Time-Delayed Heavy Ion Collisions
• Physics
• 2013
The theory of Quantum Electrodynamics predicts the “spontaneous” production of electron-positron pairs in the presence of strong electric fields. Collisions of heavy ions with a combined nuclearExpand
Electron-positron pair production in slow collisions of heavy nuclei beyond the monopole approximation.
Electron-positron pair production in low-energy collisions of heavy nuclei is considered beyond the monopole approximation. The calculation method is based on the numerical solving of theExpand
Positron creation probabilities in low-energy heavy-ion collisions
• Physics
• 2015
AbstractThe previously developed technique for calculation of ionization probabilities in low-energy heavy-ion collisions [A.I. Bondarev et al., Phys. Scr. T156, 014054 (2013)] is extended toExpand
One-center calculations of the electron-positron pair creation in low-energy collisions of heavy bare nuclei
Abstract The probabilities of bound-free electron-positron pair creation are calculated for head-on collisions of bare uranium nuclei beyond the monopole approximation. The calculations are based onExpand
Calculation of supercritical Dirac resonance parameters for heavy-ion systems from a coupled-differential-equation approach
• Physics
• 2011
Previous work [E. Ackad and M. Horbatsch, Phys. Rev. A 78, 062711 (2008)] on supercritical Dirac resonance parameters from extrapolated analytic continuation, obtained with a Fourier grid method, isExpand
Treatment of U92+?U91+ collisions in spherical co-ordinates: going beyond the monopole approximation
• Physics
• 2013
Recently, a new approach has been developed to treat the time-dependent two-centre Dirac equation within our group. This method generates basis wavefunctions describing an electron in the field ofExpand
How to Observe the Vacuum Decay in Low-Energy Heavy-Ion Collisions.
It is shown that the vacuum decay can nevertheless be observed via impact-sensitive measurements of pair-production probabilities and the possibility of such an observation is demonstrated using numerical calculations of pair production in low-energy collisions of heavy nuclei. Expand

#### References

SHOWING 1-10 OF 38 REFERENCES
Theory of positron production in heavy-ion collisions
• Physics
• 1981
Collisions of very heavy ions at energies close to the Coulomb barrier are discussed as a unique tool to study the behavior of the electron-positron field in the presence of strong extemalExpand
Nonperturbative electromagnetic lepton-pair production in peripheral relativistic heavy-ion collisions.
• Wells, +4 authors Plunien
• Physics, Medicine
• Physical review. A, Atomic, molecular, and optical physics
• 1992
We discuss a nonperturbative treatment of lepton-pair production caused by the strong and sharply pulsed electromagnetic fields generated in peripheral relativistic heavy-ion collisions with anExpand
New calculations for heavy-ion collisions with super-critical fields
• Physics
• 2007
An adaptation of the mapped Fourier grid method for the Dirac equation is applied to the problem of positron production in quasi-molecular collisions between fully stripped heavy ions withExpand
Positron production in crossed beams of bare uranium nuclei.
• Physics, Medicine
• Physical review. A, General physics
• 1988
Positron creation in crossed-beam collisions of high-energy, fully stripped heavy ions is investigated within the coupled-channel formalism and the positron spectrum is shifted towards higher energies because of the absence of electron screening. Expand
Superheavy nuclei and quasi-atoms produced in collisions of transuranium ions
• Physics
• 2006
Low energy collisions of very heavy nuclei ($^{238}\mathrm{U}+^{238}\mathrm{U}$, $^{232}\mathrm{Th}+^{250}\mathrm{Cf}$, and $^{238}\mathrm{U}+^{248}\mathrm{Cm}$) have been studied within theExpand
Low-energy collisions of heavy nuclei : dynamics of sticking, mass transfer and fusion
• Physics
• 2007
The dynamics of heavy-ion low-energy collisions is studied within the realistic model based on multi-dimensional Langevin equations. Interplay of strongly coupled deep inelastic scattering,Expand
Supercritical Dirac resonance parameters from extrapolated analytic continuation methods
• Physics
• 2007
The analytic continuation methods of complex scaling (CS), smooth exterior scaling (SES), and complex absorbing potential (CAP) are investigated for the supercritical quasimolecular ground state inExpand
Correlated e+ e- peaks observed in heavy ion collisions
Abstract Three very narrow e + e − sum-energy peaks around 610, 750, and 810 keV have been observed in U+Th as well as in U+Ta collisions at beam energies around the Coulomb barrier. As no processesExpand
Fermions and bosons interacting with arbitrarily strong external fields
• Physics
• 1978
Abstract The question, “What happens to the electron orbitals as the charge of the nucleus is increased without bounds?” has inspired much of the interest in the description of particles boundExpand
Observation of a peak structure in positron spectra from U+Cm collisions
A narrow peak structure has been observed in positron spectra from U+Cm collisions at bombarding energies near the Coulomb barrier whose origin cannot be associated with established dynamicExpand