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Basis Light-Front Quantization Approach to Positronium
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abstract
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 $\alpha=0.3$. 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.
Forward citations
Cited by 2 Pith papers
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Exclusive $J/\psi$ photoproduction in photon-proton diffractive scattering: A light-front Hamiltonian approach
BLFQ proton and J/ψ light-front wave functions yield a slightly lower exclusive J/ψ photoproduction cross section than prior models, with matching exponential slope B≈3 GeV^{-2}, usable as BK initial conditions.
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Strange mesons with one dynamical gluon: A light-front approach
A basis light-front QCD model with one dynamical gluon reproduces strange meson spectra and yields kaon form factors, PDFs, and Drell-Yan cross sections testable at COMPASS++/AMBER.
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