Particle production reactions in laser-boosted lepton collisions

Müller, S.; Keitel, Christoph H.; Müller, Carsten

doi:10.1103/physrevd.90.094008

Cited by 22 publications

(16 citation statements)

References 56 publications

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“…The wave-function technique consists in expanding the wave function on spherical harmonics. The split-operator technique is used to calculate the evolution operator and the well-known Crank-Nicholson technique is applied on each split operator so that the r-dependent term is a solution of l-coupled differential equations [13]. There are advantages of using either method; however, the main advantage of using the wave-function technique lies in the fact that the memory used by the latter technique is not as big as for the spectral method case.…”

Section: Resolvent Operator and Probability Densitymentioning

confidence: 99%

Extraction of the absolute value of the photoelectron spectrum probability density by means of the resolvent technique

Catoire

Bachau

2012

Phys. Rev. A

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In this work we consider the theoretical treatment of the interaction of a laser pulse with an atom and focus on the methodology used to extract the quantity that is observed experimentally, i.e., the electron probability density. We solve the time-dependent Schrödinger equation (TDSE) using two techniques: the spectral method, which makes use of an expansion of the wave function onto the field-free atomic eigenstates, and the wave-function method, where the TDSE is numerically solved on a grid. In this work we show that the electron probability density can be extracted from the final wave function, obtained by the wave-function method, by using the resolvent technique with a proper choice of the energy resolution. The advantage of this approach is that it does not require the calculation of the field-free atomic eigenstates. As an illustration of this method we compare the spectral and wave-function methods in the case of atomic hydrogen interacting with a linearly polarized mid-IR laser pulse. The comparison shows excellent agreement.

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Section: Resolvent Operator and Probability Densitymentioning

confidence: 99%

Extraction of the absolute value of the photoelectron spectrum probability density by means of the resolvent technique

Catoire

Bachau

2012

Phys. Rev. A

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“…High-intensity lasers can also be employed in laser-assisted scattering processes [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], where the presence of the strong low-frequency laser field modulates a hard QED scattering process. This could be, for instance, Compton scattering where a hard x-ray (or γ-ray) photon is scattered off a (quasi-)free electron with a frequency change that depends on the scattering angle [33].…”

Section: Introductionmentioning

confidence: 99%

Caustic structures in x-ray Compton scattering off electrons driven by a short intense laser pulse

et al. 2016

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We study the Compton scattering of x-rays off electrons that are driven by a relativistically intense short optical laser pulse. The frequency spectrum of the laser-assisted Compton radiation shows a broad plateau in the vicinity of the laser-free Compton line due to a nonlinear mixing between x-ray and laser photons. Special emphasis is placed on how the shape of the short assisting laser pulse affects the spectrum of the scattered x-rays. In particular, we observe sharp peak structures in the plateau region, whose number and locations are highly sensitive to the laser pulse shape. These structures are interpreted as spectral caustics by using a semiclassical analysis of the laser-assisted QED matrix element, relating the caustic peak locations to the laser-driven electron motion.

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“…Therefore, lasers not only play an important role in traditional fields like atomic physics or quantum optics, but there are also clear evidences for their application in other fields of physics. In this respect, many theoretical physicists have studied numerous laser-assisted processes in particle physics and quantum electrodynamics (QED) [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

$Z$-boson production via the weak process $e^+e^- \to μ^+μ^-$ in the presence of a circularly polarized laser field

Ouali,

Ouhammou,

Taj

et al. 2021

Preprint

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In the centre of mass frame, we have studied theoretically the Z-boson resonant production in the presence of an intense laser field via the weak process e + e − → µ + µ − . Dressing the incident particles by a Circularly Polarized laser field (CP-laser field), at the first step, shows that for a given laser field's parameters, the Z-boson cross section decreases by several orders of magnitude. We have compared the the Total Cross Section (TCS) obtained by using the scattering matrix method with that given by the Breit-Wigner approach in the presence of a CP-laser field and the results are found to be very consistent.This result indicates that Breit-Wigner formula is valid not only for the laser-free process but also in the presence of a CP-laser field. The dependence of the laser-assisted differential cross section on the Centre of Mass Energy (CME) for different scattering angles proves that it reaches its maximum for small and high scattering angles. At the next step and by dressing both incident and scattered particles, we have shown that the CP-laser field largely affects the TCS, especially when its strength reaches 10 9 V.cm −1 . This result confirms that obtained for the elastic electron-proton scattering in the presence of a CP-laser field [I. Dahiri et al , arXiv : 2102.00722v1[quant − ph]( 2021)]. It is interpreted by the fact that heavy interacting particles require high laser field's intensity to affect the collision's cross section.

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Particle production reactions in laser-boosted lepton collisions

Cited by 22 publications

References 56 publications

Extraction of the absolute value of the photoelectron spectrum probability density by means of the resolvent technique

Extraction of the absolute value of the photoelectron spectrum probability density by means of the resolvent technique

Caustic structures in x-ray Compton scattering off electrons driven by a short intense laser pulse

$Z$-boson production via the weak process $e^+e^- \to μ^+μ^-$ in the presence of a circularly polarized laser field

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