1985
DOI: 10.1007/bf01412013
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Electron-positron pair production by collisions of non-relativistic charged particles

Abstract: The cross-section for (e § )-pair production in collisions of non-relativistic charged particles has been calculated to lowest order in the fine structure constant and leading power of the relative velocity of the colliding particles. Thus the deflection of colliding particles is included in one-photon-exchange approximation, while the Coulomb distortion of the (e § is omitted. We have laid particular emphasis on current conservation. The previously neglected contribution of the spatial part of the current tur… Show more

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Cited by 3 publications
(7 citation statements)
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“…We have noticed that an important contribution (connected with gauge invariance) had been neglected in previous analyses of this process [1~], although the correct differential cross section is already given in the book of Landau and Lifshitz [9]. However, the correct gauge invariant lowest order cross section did not agree with the experimental data [5]: The theoretical prediction overestimates'the pair production yield. In order to analyze the reasons for this disagreement we included non perturbative effects (i.e.…”
Section: Introductionmentioning
confidence: 72%
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“…We have noticed that an important contribution (connected with gauge invariance) had been neglected in previous analyses of this process [1~], although the correct differential cross section is already given in the book of Landau and Lifshitz [9]. However, the correct gauge invariant lowest order cross section did not agree with the experimental data [5]: The theoretical prediction overestimates'the pair production yield. In order to analyze the reasons for this disagreement we included non perturbative effects (i.e.…”
Section: Introductionmentioning
confidence: 72%
“…which in perturbative calculation gives the dominant contribution [5]. ~(r) and 7Js(r ) are non relativistic Coulomb wave functions.…”
Section: Nonperturbative Treatment Of the Projectilementioning
confidence: 99%
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