2021/05/25 by Uwe Hernandez Acosta, Acosta, Uwe Hernandez, A. I. Titov +3
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Laser-Matter Interactions and Applications #Laser-induced spectroscopy and plasma #Random lasers and scattering media
paper · pdf · doi:10.48550/arxiv.2105.11758
openalex publication_date 2021/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spectrally resolved differential cross section of Compton scattering, d\n\σ / d \ω' vert\ω' = const, rises from small towards larger\nlaser intensity parameter \ξ, reaches a maximum, and falls towards the\nasymptotic strong-field region. Expressed by invariant quantities: d \σ\n/du vertu = const rises from small towards larger values of \ξ, reaches\na maximum at \ξmax = frac49 cal K u m2 / k \⋅ p, cal K =\n cal O (1), and falls at \ξ > \ξmax like \∝ \ξ-3/2 \exp\n (- \(2 u m2)/(3 \ξ , k \⋅ p) ) at u \≥ 1. [The\nquantity u is the Ritus variable related to the light-front momentum-fraction\ns = (1 + u)/u = k \⋅ k' / k \⋅ p of the emitted photon (four-momentum\nk', frequency \ω'), and k \⋅ p/m2 quantifies the invariant energy\nin the entrance channel of electron (four-momentum p, mass m) and laser\n(four-wave vector k).] Such a behavior of a differential observable is to be\ncontrasted with the laser intensity dependence of the total probability,\n\lim\χ = \ξ k \⋅ p/m2, \ξ \→ \∞ \ℙ \∝ \α\n\χ2/3 m2 / k \⋅ p, which is governed by the soft spectral part.\n We combine the hard-photon yield from Compton with the seeded Breit-Wheeler\npair production in a folding model and obtain a rapidly increasing e+ e-\npair number at \ξ lesssim 4. Laser bandwidth effects are quantified in the\nweak-field limit of the related trident pair production.\n