Lepton pair production by a high energy photon in a strong electromagnetic field

Ivanov, D. Yu.; Melnikov, Kirill

doi:10.1103/physrevd.57.4025

Cited by 50 publications

(86 citation statements)

References 8 publications

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“…Applying the summation formulas (181), the weak field expansion (195) is seen to agree with the Heisenberg and Euler effective Lagrangian [7],…”

Section: Effective Nonlinear Lagrangian For Arbitrary Constant Electrmentioning

confidence: 97%

“…However, these calculations can be considered for any lepton pair production, for example µ + µ − pair production, as long as the total energy in the center of mass of the system is large enough. However, simple substitution m e −→ m l , where l stands for any lepton is not sufficient since when the energy reaches the inverse radius Λ = 1/R ∼ 30MeV of the nucleus the electric field of the nucleus cannot be approximated as a Coulomb field of a point-like particle [195]. The review of computation for lepton pair production can be found in [196] and [101].…”

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

498

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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“…Applying the summation formulas (181), the weak field expansion (195) is seen to agree with the Heisenberg and Euler effective Lagrangian [7],…”

Section: Effective Nonlinear Lagrangian For Arbitrary Constant Electrmentioning

confidence: 97%

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

498

305

View full text Add to dashboard Cite

show abstract

“…This observation then prompted another series of papers on the same topic, basically saying that this property cannot be true. One of them [5] re-derived with new methods the classical result of Davies, Bethe and Maximon [6,7,8] about the fragmentation of a photon into a pair, induced by a electromagnetic background field. Then, this result was applied to pair production in nuclear collisions [9,10].…”

Section: Introductionmentioning

confidence: 99%

Coulomb corrections to e+e− production in ultra-relativistic nuclear collisions

et al. 2001

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The purpose of this paper is to explain the discrepancies existing in the literature relative to e + e − pair production in peripheral heavy ion collisions at ultra-relativistic energies. A controversial issue is the possible cancellation of Coulomb corrections to the Born term in the pair production cross-section. Such a cancellation has been observed in a recent approach based on finding retarded solutions of the Dirac equation, but does not seem to hold in a perturbative approach. We show in this paper that the two approaches are in fact calculating different observables: the perturbative approach gives the exclusive cross-section of single pair production, while the other method gives the inclusive cross-section.We have also performed a thorough study of the electron propagator in the non-static background field of the two nuclei, the conclusion of which is that the retarded propagator is in the ultra-relativistic limit a much simpler object than the Feynman propagator, and can be calculated exactly.

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“…The radiative corrections to cross section were considered in paper [5] and in all orders of PT on parameter Zα in paper [6] -both for unpolarized case. It turns that for Z < 6 our results can be applied for photoproduction on nuclei with relevant modification of F (q 2 ).…”

Section: Discussionmentioning

confidence: 99%

“…Calculations of this distribution were carried out on the base of formula, which is obtained from (10, 11) after substitution θ = arctan(2M/q) (see (6)…”

mentioning

confidence: 99%

Recoil proton distribution in high energy photoproduction processes

et al. 2007

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For high energy linearly polarized photon-proton scattering we have calculated the azimuthal and polar angle distributions in inclusive on recoil proton experimental setup. We have taken into account the production of lepton and pseudoscalar meson charged pairs. The typical values of cross sections are of order of hundreds of picobarn. The size of polarization effects are of order of several percents. The results are generalized for the case of electroproduction processes on the proton at rest and for high energy proton production process on resting proton.PACS numbers: 25.20.Lj, 13.88.+e Keywords: proton distribution, lepton production, photoproductionWe have considered below the experimental setup of processes of charged pair a − a + production (pseudoscalars, leptons) by high energy photon scattering on proton at rest frame with following detection of recoil protonTwo different mechanisms of pair production must be considered. One corresponds to the pair creation by two photons Bethe-Heitler (BH). Another one is the bremsstrahlung (B), which corresponds to the case when pair is created by single virtual photon (we have implied the lowest in QED coupling constant α = 1/137 contributions). The contribution of B type is suppressed compared with one of BH type by factor |q 2 |/s. As for interference of B and BH amplitudes it is exactly zero in the inclusive on recoil proton setup we have considered below.The accuracy of formulae given below are determined by the terms we have omitted systematically compared with terms of order of unityIn the peripheric kinematical region s ≫ |q 2 | ∼ M 2 , effectively works the Infinite momentum Frame (IMF) or Sudakov [2] parametrization of transferred momentum and the 4-momenta of final particlesFrom the on mass shell condition of recoil proton (p − q) 2 = M 2 , one infersWe use here the smallness of M 2 α q = (M 2 /s)(s 1 + q 2 ) compared with q 2 . Here s 1 = (q + +q − ) 2 -invariant mass square of pair, assumed to be of order 4m2 . For the case of large Q one can put considered Q 2 = sα q β q − q 2 to Q 2 = −q 2 = −q 2 . The ratio of transversal and longitudinal component of momentum of recoil proton (laboratory frame implied) isThis relation, first mentioned in paper of Benaksas and Morrison [1], can be written in different form in terms of the value for 3-vector of momentum of recoil proton Pwith θ is the angle between the directions of initial photon and recoil proton in laboratory frame (see more exact formula in Appendix A). Matrix element of charged lepton or pion pair production in lowest order of QED perturbation theory (keeping in mind BH mechanism) has the formwith proton current defined as

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Lepton pair production by a high energy photon in a strong electromagnetic field

Cited by 50 publications

References 8 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

Coulomb corrections to e+e− production in ultra-relativistic nuclear collisions

Recoil proton distribution in high energy photoproduction processes

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