Lepton pair production in heavy-ion collisions in perturbation theory

Bartoš, Erik; Gevorkyan, S. R.; Kuraev, É. A.; Николаев, Н. Н.

doi:10.1103/physreva.66.042720

Cited by 26 publications

(56 citation statements)

References 30 publications

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“…More recent results containing higher order in α corrections are obtained in [190,191], see also [192,193]. Figure 5: Classification of the e + e − pair production by the number of photons attached to a nucleus.…”

Section: Pair Production In Collision Of Two Ionsmentioning

confidence: 99%

“…It should be mentioned that the Racah formula (31) in contrast with the Landau and Lifshitz result (30) contains also terms proportional to L 2 γ and L γ . These terms come from the absolute square of M (ii) and M (iii) and their interference with the Born amplitude M (i) [191]. Their result for the Coulomb corrections which is defined as the difference between the full cross-section and the Born approximation, in order L 2 γ is of the "Bethe-Maximon" type [191] …”

Section: Pair Production In Collision Of Two Ionsmentioning

confidence: 99%

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Electron–positron pairs in physics and astrophysics: From heavy nuclei to black holes

Ruffini¹,

Vereshchagin²,

Xue³

2010

Physics Reports

483

305

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Due to the interaction of physics and astrophysics we are witnessing in these years a splendid synthesis of theoretical, experimental and observational results originating from three fundamental physical processes. They were originally proposed by Dirac, by Breit and Wheeler and by Sauter, Heisenberg, Euler and Schwinger. For almost seventy years they have all three been followed by a continued effort of experimental verification on Earth-based experiments. The Dirac process, e + e − → 2γ, has been by far the most successful. It has obtained extremely accurate experimental verification and has led as well to an enormous number of new physics in possibly one of the most fruitful experimental avenues by introduction of storage rings in Frascati and followed by the largest accelerators worldwide: DESY, SLAC etc. The Breit-Wheeler process, 2γ → e + e − , although conceptually simple, being the inverse process of the Dirac one, has been by far one of the most difficult to be verified experimentally. Only recently, through the technology based on free electron X-ray laser and its numerous applications in Earth-based experiments, some first indications of its possible verification have been reached. The vacuum polarization process in strong electromagnetic field, pioneered by Sauter, Heisenberg, Euler and Schwinger, introduced the concept of critical electric field E c = m 2 e c 3 /(e ). It has been searched without success for more than forty years by heavy-ion collisions in many of the leading particle accelerators worldwide.The novel situation today is that these same processes can be studied on a much more grandiose scale during the gravitational collapse leading to the formation of a black hole being observed in Gamma Ray Bursts (GRBs). This report is dedicated to the scientific race. The theoretical and experimental work developed in Earth-based laboratories is confronted with the theoretical interpretation of space-based observations of phenomena originating on cosmological scales. What has become clear in the last ten years is that all the three above mentioned processes, duly extended in the general relativistic framework, are necessary for the understanding of the physics of the gravitational collapse to a black hole. Vice versa, the natural arena where these processes can be observed in mutual interaction and on an unprecedented scale, is indeed the realm of relativistic astrophysics.We systematically analyze the conceptual developments which have followed the basic work of Dirac and Breit-Wheeler. We also recall how the seminal work of Born and Infeld inspired the work by Sauter, Heisenberg and Euler on effective Lagrangian leading to the estimate of the rate for the process of electron-positron production in 1 a constant electric field. In addition of reviewing the intuitive semi-classical treatment of quantum mechanical tunneling for describing the process of electron-positron production, we recall the calculations in Quantum Electro-Dynamics of the Schwinger rate and effective Lagrangian for cons...

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Section: Pair Production In Collision Of Two Ionsmentioning

confidence: 99%

Section: Pair Production In Collision Of Two Ionsmentioning

confidence: 99%

Electron–positron pairs in physics and astrophysics: From heavy nuclei to black holes

Ruffini¹,

Vereshchagin²,

Xue³

2010

Physics Reports

483

305

View full text Add to dashboard Cite

show abstract

“…At the classical level this leads to a characteristic Z 2 dependence of the total cross section, where Z is the number of protons in the nucleus. Quantum coherence effects produce a more complicated Z -dependence which can be interpreted as a result of multiple scattering of e − e + pair in the nucleus [12][13][14][15][16][17][18][19][20][21]. In this Letter we study a similar coherence effect in interaction of a very energetic photon γ with an intense laser pulse .…”

Section: Introductionmentioning

confidence: 99%

Non-linear pair production in scattering of photons on ultra-short laser pulses at high energy

Tuchin

2010

Physics Letters B

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We consider scattering of a photon on a short intense laser pulse at high energy. We argue that for ultrashort laser pulses the interaction is coherent over the entire length of the pulse. At low pulse intensity I the total cross section for electron-positron pair production is proportional to I. However, at pulse intensities higher than the characteristic value Is , the total cross section saturates -it becomes proportional to the logarithm of intensity. This non-linear effect is due to multi-photon interactions. We derive the total cross section for pair production at high energies by resuming the multi-photon amplitudes to all orders in intensity. We calculate the saturation intensity Is and show that it is significantly lower than the Schwinger's critical value. We discuss possible experimental tests. RightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider scattering of a photon on a short intense laser pulse at high energy. We argue that for ultrashort laser pulses the interaction is coherent over the entire length of the pulse. At low pulse intensity I the total cross section for electron-positron pair production is proportional to I. However, at pulse intensities higher than the characteristic value I s , the total cross section saturates -it becomes proportional to the logarithm of intensity. This non-linear effect is due to multi-photon interactions. We derive the total cross section for pair production at high energies by resuming the multi-photon amplitudes to all orders in intensity. We calculate the saturation intensity I s and show that it is significantly lower than the Schwinger's critical value. We discuss possible experimental tests.

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“…Moreover, this statement is correct even when one takes into account the screening effects between nuclei A 1 and A 2 in both processes, which manifest itself by insertion of light-by-light scattering blocks into Feynman amplitudes. As was shown in [7] accounting of this effect can be provided by the universal factor…”

Section: Fig 1: Feynman Diagrams For Born Amplitudes Of the Processmentioning

confidence: 99%

“…Nevertheless, crossing symmetry is broken in all orders of perturbation theory if one try to compare the full amplitude for the process 3 → 3 (expression (24) with the replacement (21)) and the relevant amplitude for the process 2 → 4 accounting the multiple interaction of produced particles [6].…”

Section: Fig 1: Feynman Diagrams For Born Amplitudes Of the Processmentioning

confidence: 99%

Lepton-pair production in relativistic ion collisions and its correspondence to the crossing process

2004

Self Cite

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Using the Sudakov technique we sum the perturbation series for the process 3 → 3 and obtain the compact analytical expression for the amplitude of this process, which takes into account all possible Coulomb interactions between colliding particles. Compare it with the amplitude of the lepton pair production in heavy ion collision i.e. in the process 2 → 4, we show that crossing symmetry between this processes holds only if one neglects the interaction of produced pair with ions (i.e. in the approximation Z 1,2 α ≪ 1).

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Lepton pair production in heavy-ion collisions in perturbation theory

Cited by 26 publications

References 30 publications

Electron–positron pairs in physics and astrophysics: From heavy nuclei to black holes

Electron–positron pairs in physics and astrophysics: From heavy nuclei to black holes

Non-linear pair production in scattering of photons on ultra-short laser pulses at high energy

Lepton-pair production in relativistic ion collisions and its correspondence to the crossing process

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