Multiplicity distribution of electron-positron pairs created by strong external fields

Best, C.; Greiner, Walter; Soff, G.

doi:10.1103/physreva.46.261

Cited by 53 publications

(41 citation statements)

References 23 publications

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“…However, proper accounting for the color degrees of freedom is needed [117]. This observation lead to more detailed calculations [19,118,119,120,121,122] involving high-order processes, such as the exchange of multiple photons (Coulomb distortion) and the production of multiple pairs, as shown in Figures 1(e,f). These processes are important for collisions at small impact parameters.…”

Section: Using Equation 27mentioning

confidence: 99%

Physics of Ultra-Peripheral Nuclear Collisions

Bertulani

Klein

Nystrand

2005

Annu. Rev. Nucl. Part. Sci.

464

380

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Moving highly-charged ions carry strong electromagnetic fields that act as a field of photons. In collisions at large impact parameters, hadronic interactions are not possible, and the ions interact through photon-ion and photon-photon collisions known as ultra-peripheral collisions (UPC). Hadron colliders like the Relativistic Heavy Ion Collider (RHIC), the Tevatron and the LargeHadron Collider (LHC) produce photonuclear and two-photon interactions at luminosities and energies beyond that accessible elsewhere; the LHC will reach a γp energy ten times that of the Hadron-Electron Ring Accelerator (HERA). Reactions as diverse as the production of antihydrogen, photoproduction of the ρ 0 , transmutation of lead into bismuth and excitation of collective nuclear resonances have already been studied. At the LHC, UPCs can study many types of 'new physics.'

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Section: Using Equation 27mentioning

confidence: 99%

Physics of Ultra-Peripheral Nuclear Collisions

Bertulani

Klein

Nystrand

2005

Annu. Rev. Nucl. Part. Sci.

464

380

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“…An interesting observation was finally made in a paper by Baltz et al [14], where it was shown that the expression for pair production derived from the results in [1] describes the total number of produced pairs, and not the single pair production. Additionally, the importance of taking into account the vacuum-vacuum transition amplitude when going over from wave mechanics to the full external field problem with quantized electron field was pointed out, as was already discussed in [8,9]. A recent work which treats the structure of Coulomb and unitarity corrections to the single and multiple pair production is [15].…”

Section: Introductionmentioning

confidence: 99%

“…turbation theory can become larger than one, which was shown to result in multiple pair production [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions

et al. 2002

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Abstract.The results concerning the e + e − production in peripheral highly relativistic heavy-ion collisions presented in a recent paper by Baltz et al. are rederived in a very straightforward manner. It is shown that the solution of the Dirac equation directly leads to the multiplicity, i.e. to the total number of electronpositron pairs produced by the electromagnetic field of the ions, whereas the calculation of the single pair production probability is much more involved. A critical observation concerns the unsolved problem of seemingly absent Coulomb corrections (Bethe-Maximon corrections) in pair production cross sections. It is shown that neither the inclusion of the vacuum-vacuum amplitude nor the correct interpretation of the solution of the Dirac equation concerning the pair multiplicity is able the explain (from a fundamental point of view) the absence of Coulomb corrections. Therefore the contradiction has to be accounted to the treatment of the high energy limit.

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“…In a set of publications [11,12,13,14] it was argued that the factorization of the multiple pair production probability is valid with a good accuracy…”

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confidence: 99%

Structure of the Coulomb and unitarity corrections to the cross section ofe+e−pair production in ultrarelativistic nuclear collisions

2002

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We analyze the structure of the Coulomb and unitarity corrections to the single e + e − pair production as well as the cross section σ n for the multiple pair production in collision of ultrarelativistic nuclei. In the external field approximation we consider the probability of one pair production at fixed impact parameter ρ between colliding nuclei. We obtain the analytical result for this probability at large ρ as compared to the electron Compton wavelength. The energy dependence of this probability as well as that of σ n differ essentially from widely cited but incorrect results. We estimate also the unitary corrections to the total cross section of the process.

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Multiplicity distribution of electron-positron pairs created by strong external fields

Cited by 53 publications

References 23 publications

Physics of Ultra-Peripheral Nuclear Collisions

Physics of Ultra-Peripheral Nuclear Collisions

Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions

Structure of the Coulomb and unitarity corrections to the cross section ofe+e−pair production in ultrarelativistic nuclear collisions

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