Basis light-front quantization approach to positronium

Wiecki, Paul; Li, Yang; Zhao, Xingbo; Maris, Pieter; Vary, James P.

doi:10.1103/physrevd.91.105009

Cited by 96 publications

(135 citation statements)

References 47 publications

(65 reference statements)

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“…Another motivation is to improve the rotational symmetry and the hyperfine structure. In the effective one-gluon exchange kernel, [9][10][11], a non-covariant UV counterterm is introduced to regularize the UV divergence appearing in the box diagram [9; 12], which further spoils the rotational symmetry as will be seen in the mass spectra below. The introduction of the running coupling changes the UV asymptotics of the one-gluon exchange kernel 1 .…”

Section: Formalismmentioning

confidence: 99%

Quarkonium Wave Functions on the Light Front

Yang

2017

Few-Body Syst

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We study heavy quarkonium within the light-front Hamiltonian formalism. Our effective Hamiltonian is based on the holographic QCD confining potential and the one-gluon exchange interaction with a running coupling. The obtained spectra are compared with experimental measurements. We present a set of light-front wave functions, which exhibit rich structure and are consistent with the nonrelativistic picture. Finally, we use the wave functions to compute the charge and mass radii.

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Section: Formalismmentioning

confidence: 99%

Quarkonium Wave Functions on the Light Front

Yang

2017

Few-Body Syst

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“…Our ff effective interaction follows the one employed in Ref. [31] except that a scalar boson replaces the vector exchange of QED. We neglect fermion self-energy and annihilation processes.…”

Section: Yukawa Model In Blfqmentioning

confidence: 99%

“…BLFQ has been used to solve QED problems at strong coupling such as the electron anomalous magnetic moment [15; 30], non-linear Compton scattering [17; 18] and the positronium spectrum [31]. In this paper, we briefly summarize recent BLFQ applications to bound-state and scattering problems: Electron form factors [32] in Sect.…”

Section: Basis Function Approachmentioning

confidence: 99%

“…We follow the scheme we employed in our application of BLFQ to positronium [31] to solve the Yukawa model with a scalar boson exchange [33]. To be specific, we solve for the mass eigenstates (in units of the fermion mass m f ) as a function of two basis space regulators, N max and K in a Fock space consisting of a fermion f and an antifermionf exchanging a scalar boson of mass m b =0.15m f with coupling α= 0.3 and HO length parameter b = (M Ω)=0.16m f .…”

Section: Yukawa Model In Blfqmentioning

confidence: 99%

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Trends and Progress in Nuclear and Hadron Physics: A Straight or Winding Road

et al. 2017

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Quantitative calculations of the properties of hadrons and nuclei, with assessed uncertainties, have emerged as competitive with experimental measurements in a number of major cases. We may well be entering an era where theoretical predictions are critical for experimental progress. Crossfertilization between the fields of relativistic hadronic structure and non-relativistic nuclear structure is readily apparent. Non-perturbative renormalization methods such as Similarity Renormalization Group and Okubo-Lee-Suzuki schemes as well as many-body methods such as Coupled Cluster, Configuration Interaction and Lattice Simulation methods are now employed and advancing in both major areas of physics. New algorithms to apply these approaches on supercomputers are shared among these areas of physics. The roads to success have intertwined with each community taking the lead at various times in the recent past. I briefly sketch these fascinating paths and comment on some symbiotic relationships. I also overview some recent results from the Hamiltonian Basis Light-Front Quantization approach.

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“…The mass spectra for charmonium and bottomonium are obtained by diagonalizing a Hamiltonian within the BLFQ framework, with the one-gluon exchange interaction and a confining potential inspired by lightfront holography [13]. The successful applications of the BLFQ formalism to the electron anomalous magnetic moment [16,18], and to the positronium system [19,20] have paved the way for the study of the heavy quarkonium system. The LFWFs from the BLFQ approach, which arise from successful fits to the heavy quarkonia mass spectroscopy, show success in applications to decay constants and to additional observables such as charge form factors.…”

Section: Introductionmentioning

confidence: 99%

Charmonium spectrum and diffractive production in a light-front Hamiltonian approach

Chen

Maris

et al. 2017

Nuclear and Particle Physics Proceedings

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We study exclusive charmonium production in diffractive deep inelastic scattering and ultra-peripheral heavyion collisions within the dipole picture. The mass spectrum and light-front wavefunctions of charmonium are obtained from the basis light-front quantization approach, using the one-gluon exchange interaction plus a confining potential inspired by light-front holography. We apply these light-front wavefunctions to exclusive charmonium production. The resulting cross sections are in reasonable agreement with electron-proton collision data at HERA and ultra-peripheral nucleus collision measurements at RHIC and LHC. The charmonium cross-section has model dependence on the dipole model. We observe that the cross-section ratio of excited states to the ground state has a weaker dependence than the cross-section itself. We suggest that measurements of excited states of heavy quarkonium production in future electron-ion collision experiments will impose rigorous constraints on heavy quarkonium light-front wavefunctions, thus improving our understanding of meson structure, which eventually will help us develop a precise description of the gluon distribution function in the small-x regime.

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Basis light-front quantization approach to positronium

Cited by 96 publications

References 47 publications

Quarkonium Wave Functions on the Light Front

Quarkonium Wave Functions on the Light Front

Trends and Progress in Nuclear and Hadron Physics: A Straight or Winding Road

Charmonium spectrum and diffractive production in a light-front Hamiltonian approach

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