Nonperturbative character of electron-positron pair production in relativistic heavy-ion collisions

Rumrich, Klaus; Momberger, K.; Soff, G.; Greiner, Walter; Grün, N.; Scheid, W.

doi:10.1103/physrevlett.66.2613

Cited by 66 publications

(43 citation statements)

References 10 publications

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“…Although, as has been pointed out [15], the derived exact semiclassical Dirac amplitude is not simply the exact amplitude for the excitation of a particular (correlated) electronpositron pair, there are observables, such as the total pair production cross section, that can be constructed straightforwardly from this derived amplitude [16,17,18,19]. This point has a long history of discussion in the literature [20,21,22,23].…”

Section: Cross Sections With Higher Order Coulomb Correctionsmentioning

confidence: 91%

Publisher's Note: Calculation of heavy ione+e−pair production to all orders inZα[Phys. Rev. C 71, 024901 (2005)]

Baltz¹

2005

Phys. Rev. C

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The heavy ion cross section for continuum e + e − pair production has been calculated to all orders in Zα. The formula resulting from an exact solution of the semiclassical Dirac equation in the ultrarelativistic limit is evaluated numerically. An energy dependent spatial cutoff of the heavy ion potential is utilized, leading to an exact formula agreeing with the known perturbative formula in the ultrarelativistic, perturbative limit. Cross sections and sample momentum distributions are evaluated for heavy ion beams at SPS, RHIC, and LHC energies. e + e − pair production probabilities are found to be reduced from perturbation theory with increasing charge of the colliding heavy ions and for all energy and momentum regions investigated. : 25.75.-q, 34.90.+q PACS

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Section: Cross Sections With Higher Order Coulomb Correctionsmentioning

confidence: 91%

Publisher's Note: Calculation of heavy ione+e−pair production to all orders inZα[Phys. Rev. C 71, 024901 (2005)]

Baltz¹

2005

Phys. Rev. C

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“…The approach based on solving the Dirac equation was motivated by the papers [25,26,27], where a formula giving the average number of pairs produced per collision is derived in terms of retarded amplitudes only. We present here a justification of this formula in the field-theoretical framework we are following in this paper.…”

Section: Expression As a Correlatormentioning

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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“…If more than one particle is produced, PI must-for it is to second order identical to E-explicitly violate unitarity, euen when perturbation theory is still applicable. In this case the unitarity violation stems solely from the neglect of the factor Therefore, we can use the unitarity violating lowest-order pair creation probability as a lowest-order approximation of the mean number of pairs created; this calculation has been done by several well-known methods, especially by Monte Carlo integration of the Feynman graph [ 9 ] , by the Weizsäcker-Williams method [10,1], by distortedwave calculations [ l 11, or nonperturbatively in coupledchannel calculations [5], or by direct solutions of the Dirac equation [12]. T o get perturbative higher-order results, the S-matrix elements aqp of the Dirac equation must be evaluated to higher orders using the forward propagator, which differs from the Feynman propagator in how the integration contour at the mass shell singularity is chosen.…”

Section: B Perturbation Theorymentioning

confidence: 99%

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

Best

Greiner

Soff³

1992

Phys. Rev. A

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We discuss the multiplicity distribution of electron-positron pairs created in the strong electromagnetic fields of ultrarelativistic heavy-ion transits. Based on nonperturbative expressions for the N-pair creation amplitudes, the Poisson distribution is derived by neglecting interference terms. The source of unitarity violation is identified in the vacuum-to-vacuum amplitude, and a perturbative expression for the mean number of pairs is given. PACS number(s): 34.90. + q, 34.10. + X

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Nonperturbative character of electron-positron pair production in relativistic heavy-ion collisions

Cited by 66 publications

References 10 publications

Publisher's Note: Calculation of heavy ione+e−pair production to all orders inZα[Phys. Rev. C 71, 024901 (2005)]

Publisher's Note: Calculation of heavy ione+e−pair production to all orders inZα[Phys. Rev. C 71, 024901 (2005)]

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

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

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