# New calculations for heavy-ion collisions with super-critical fields

@inproceedings{Ackad2007NewCF, title={New calculations for heavy-ion collisions with super-critical fields}, author={Edward Ackad and M. Horbatsch}, year={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 with super-critical Coulomb fields. The resonance parameters for the 1S? vacancy which dives into the filled negative-energy continuum are calculated on the basis of the two similar analytic continuation methods of smooth exterior scaling and complex absorbing potential with Pad? extrapolation. Previous results in… Expand

#### 7 Citations

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 solving… Expand

Electron-positron pair production in slow collisions of heavy nuclei beyond the monopole approximation.

- Physics
- 2018

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 the… Expand

Calculation of supercritical Dirac resonances in heavy-ion collisions

- Physics
- 2008

This resonance is similar in character to other resonances in atomic physics. It is parameterized by its energy and its lifetime. A numerical discretization technique, the mapped Fourier grid method… Expand

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

- Physics
- 2008

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… Expand

How to Observe the Vacuum Decay in Low-Energy Heavy-Ion Collisions.

- Physics, Medicine
- Physical review letters
- 2019

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

Implementation and validation of the relativistic transient absorption theory within the dipole approximation

- Physics
- 2020

A relativistic transient absorption theory is derived, implemented and validated within the dipole approximation based on the time-dependent Dirac equation. In the non-relativistic limit, it is found… Expand

#### References

SHOWING 1-10 OF 13 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 extemal… Expand

Positron production in heavy-ion collisions. II. Application of the formalism to the case of the U+U collision

- Physics
- 1982

The method developed in the preceding paper is applied to the calculation of the spectra of positrons produced in the U + U collision. Matrix elements of the radial derivative operator between… Expand

Numerical treatment of the time-dependent Dirac equation in momentum space for atomic processes in relativistic heavy-ion collisions.

- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1996

A numerical method for the solution of the time-dependent Dirac equation to describe atomic processes in relativistic heavy-ion collisions is presented and finds that the enhancement of bound-free pair production as compared to perturbation theory is much smaller than reported previously by others. Expand

Systematic studies of positron production in heavy-ion collisions near the Coulomb barrier

- Physics
- 1992

We present the results obtained from systematic studies of positron creation for a series of heavy-collision systems, with united chargeZu=Z1+Z2 ranging fromZu=164 (Pb + Pb) toZu=184 (U+U) at… Expand

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

Numerical calculation of supercritical Dirac resonance parameters by analytic continuation methods

- Physics
- 2007

170, since the lowest bound state becomes a resonance inthe negative energy continuum. We address the problem of computing the resonance parameters by extendingthe mapped Fourier grid method to… Expand

Solution of the time-dependent Dirac equation by the finite difference method and application for Ca20++U91+

- Physics
- 1983

The Dirac equation for an electron moving in time-dependent electromagnetic fields is solved by the method of finite differences. For simplicity the solution is restricted to problems with a… Expand

A new scaling law for electron emission in intermediate-energy heavy ion collisions

- Physics
- 1986

Abstract A new scaling law is presented for the emission of electrons in intermediate-energy heavy ion collisions. An improved formula is obtained which correctly describes electron emission also in… Expand

Observation of Positron Creation in Superheavy Ion-Atom Collision Systems

- Physics
- 1978

We report the first observation of position in high-energy /sup 208/Pb + /sup 208/Pb collisions and establish that a dominant fraction of the positron yield is from nonnuclear origins. The excess… Expand

Numerical solution of the Dirac equation by a mapped Fourier grid method

- Physics
- 2005

An efficient numerical method is developed to solve the relativistic hydrogenic Coulomb problem. Combining a pseudospectral method and a change of coordinates, a matrix representation of the… Expand