2012
DOI: 10.1007/jhep04(2012)009
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On relativization of the Sommerfeld-Gamow-Sakharov factor

Abstract: The Sommerfeld-Gamow-Sakharov factor is considered for the general case of arbitrary masses and energies. It is shown that the scalar triangular one-loop diagram gives the Coulomb singularity in radiative corrections at the threshold. The singular part of the correction is factorized at the complete Born cross section regardless of its partial wave decomposition. Different approaches to generalize the factor are discussed.Comment: 9 pages, 4 figures; references and discussion are extende

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Cited by 39 publications
(19 citation statements)
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“…Ày Þ is the Coulomb correction factor [8], and y ¼ ð1 þ 2 Þ=. The Coulomb factor makes the cross section nonzero at threshold.…”
Section: Introductionmentioning
confidence: 99%
“…Ày Þ is the Coulomb correction factor [8], and y ¼ ð1 þ 2 Þ=. The Coulomb factor makes the cross section nonzero at threshold.…”
Section: Introductionmentioning
confidence: 99%
“…production angle. The Coulomb correction factor C [6,7], which accounts for the electromagnetic interaction of final states, is y/(1 − e −y ) with y = πα(1 + β 2 )/β for a charged baryon pair and 1 for a neutral baryon pair. Since at threshold, G E = G M = G by definition, the production cross section of e + e − → Λ Λ is proportional to the β near threshold, that vanishes at threshold due to β = 0 and raises with finite β above threshold.…”
Section: Introductionmentioning
confidence: 99%
“…where θ is the angle between the beam direction and the nucleon in the CM system, α em is the electromagnetic fine structure constant, β = √ 1 − 1/τ is the velocity of the final state nucleon, C(q 2 ) is the Coulomb enhancement factor [3], and τ = q 2 /4m 2 N a kinematical factor. In contrast to processes with charged particles in the final state, the Coulomb enhancement factor C(q 2 ) is equal to unity for a process with a pure neutral final state like the signal reaction described in this review : e + e − → n n. The leading order Feynman diagram for such a process is shown in Figure 1.…”
Section: Introductionmentioning
confidence: 99%