Scattering in time-dependent basis light-front quantization

Zhao, Xingbo; Ilderton, Anton; Maris, Pieter; Vary, James P.

doi:10.1103/physrevd.88.065014

Cited by 58 publications

(80 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where N = 2. Assuming again one dominant field maximum, for triple Compton scattering it follows from (50) and r ij + r jk = r ik that P three ∼ (64) with N = 3. Similarly, for quadruple Compton scattering we find P four ∼ (64) with N = 4.…”

Section: A Locally Constant Fieldsmentioning

confidence: 99%

See 1 more Smart Citation

Single and double nonlinear Compton scattering

Dinu

Torgrimsson

2019

Phys. Rev. D

View full text Add to dashboard Cite

We study single, double and higher-order nonlinear Compton scattering where an electron interacts nonlinearly with a high-intensity laser and emits one, two or more photons. We study, in particular, how double Compton scattering is separated into one-step and two-step parts, where the latter is obtained from an incoherent product of two single-photon emissions. We include all contributions to double Compton scattering and show that the exchange term, which was not calculated in previous constant-crossed field studies, is in general on the same order of magnitude as the other one-step terms. Our approach reveals practically useful similarities between double Compton scattering and the trident process, which allows us to transfer some of our previous results for trident to double Compton scattering. We provide a new gluing approach for obtaining the dominant contribution to higher-order Compton scattering for long laser pulses. Unlike the standard gluing approach, our new approach does not require the intensity parameter a0 to be much larger than one. For "hard" photons we obtain several saddle-point approximations for various field shapes. * dinu@barutu.fizica.unibuc.ro † greger.torgrimsson@uni-jena.de 1 Note that we do not use "direct" as synonymous to the one-step term. By "direct" we mean instead the non-exchange part. The two-step term only has a direct part while the one-step term has both direct and exchange parts.

show abstract

Section: A Locally Constant Fieldsmentioning

confidence: 99%

“…The first term is similar to the usual Hamiltonian, while the other terms are referred to as "instantaneous" [45,50]. The first instantaneous term contributes to trident [1], while the second instantaneous term contributes to the two-photon emission considered here.…”

Section: Lightfront Quantizationmentioning

confidence: 99%

Single and double nonlinear Compton scattering

Dinu

Torgrimsson

2019

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Another recent application evaluates the electron GPDs [12]. In addition, BLFQ has been extended to time-dependent strong external field problems (tBLFQ) such as non-linear Compton scattering [13,14].…”

Section: Introductionmentioning

confidence: 99%

Basis light-front quantization approach to positronium

Wiecki¹,

Li²,

Zhao³

et al. 2015

Phys. Rev. D

Self Cite

101

131

View full text Add to dashboard Cite

We present the first application of the recently developed Basis Light-Front Quantization (BLFQ) method to self-bound systems in quantum field theory, using the positronium system as a test case. Within the BLFQ framework, we develop a two-body effective interaction, operating only in the lowest Fock sector, that implements photon exchange, neglecting fermion self-energy effects. We then solve for the mass spectrum of this interaction at the unphysical coupling α = 0.3. The resulting spectrum is in good agreement with the expected Bohr spectrum of non-relativistic quantum mechanics. We examine in detail the dependence of the results on the regulators of the theory.

show abstract

“…Another recent work [26] has presented the electron GPD calculations as a test problem for the BLFQ approach. Furthermore, the BLFQ approach has been extended to time-dependent strong external field problems such as non-linear Compton scattering [27,28]. The FFs, GPDs, and impact-parameter dependent GPDs for the bound states of positronium at strong coupling in the BLFQ approach are the main results of this paper.…”

Section: Introductionmentioning

confidence: 99%

Form factors and generalized parton distributions in basis light-front quantization

Adhikari¹,

Li²,

Zhao³

et al. 2016

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

We calculate the elastic form factors and the Generalized Parton Distributions (GPDs) for four low-lying bound states of a demonstration fermion-antifermion system, strong coupling positronium (eē), using Basis Light-Front Quantization (BLFQ). Using this approach, we also calculate the impact-parameter dependent GPDs q(x, b ⊥ ) to visualize the fermion density in the transverse plane ( b ⊥ ). We compare selected results with corresponding quantities in the non-relativistic limit to reveal relativistic effects. Our results establish the foundation within BLFQ for investigating the form factors and the GPDs for hadronic systems.

show abstract

Scattering in time-dependent basis light-front quantization

Cited by 58 publications

References 85 publications

Single and double nonlinear Compton scattering

Single and double nonlinear Compton scattering

Basis light-front quantization approach to positronium

Form factors and generalized parton distributions in basis light-front quantization

Contact Info

Product

Resources

About