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 mesons and their properties on the light front

Tang, Shuo; Li, Yang; Maris, Pieter; Vary, James P.

doi:10.1103/physrevd.98.114038

Cited by 55 publications

(79 citation statements)

References 35 publications

(61 reference statements)

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“…We use the LFWFs for the Bc mesons to calculate decay constants. We find reasonable agreement among our results [24], experimental results [43] and other theoretical approaches [50; 51; 52; 53].…”

Section: Mixed Flavor Heavy Quarkoniumsupporting

confidence: 91%

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Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

et al. 2018

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We survey recent progress in calculating properties of the electron and hadrons within the Basis Light Front Quantization (BLFQ) approach. We include applications to electromagnetic and strong scattering processes in relativistic heavy ion collisions. We present an initial investigation into the glueball states by applying BLFQ with multigluon sectors, introducing future research possibilities on multi-quark and multi-gluon systems.Static and dynamic properties of the hadrons, including finite nuclei, are the foci of major theoretical and experimental efforts in the nuclear physics community. Interesting topics include the nonperturbative roles of the constituent quarks and gluons in the manifested phenomena such as the distribution of angular momenta, pileup of gluon distributions at low longitudinal momentum fractions, electromagnetic moments/transitions, emergence of exotic structures beyond the simple constituent models and diffractive production cross sections. Our BLFQ framework addresses these phenomena with a relativistic treatment of the Hamiltonian developed with input from the QCD Lagrangian supplemented by confining terms. We solve for the mass eigenstates and their light-front amplitudes in the Basis Light Front Quantization (BLFQ) approach [1; 2; 3]. The light front amplitudes bridge our theory with observables such as form factors, decay constants and those in time-dependent scattering processes [4; 5]. Specifically, our Hamiltonian framework allows the study of time-dependent phenomena using the time-dependent Basis Light Front Quantization (tBLFQ) approach. We gradually improve the tBLFQ results by replacing modeled background fields with those obtained directly from QCD.In this article we overview recent developments, expanding our report of last year [6], and survey prospects for the near future. For additional perspectives of recent research and future prospects in lightfront Hamiltonian theory, see Refs. [7; 8] and references therein. Basis Light-Front QuantizationThe non-perturbative solution of quantum field theory within the Hamiltonian framework has a rich history. Pioneering efforts addressed the mass eigenstate problem of the light-front Hamiltonian in the discretized plane-wave basis [9] called Discretized Light-Cone Quantization (DLCQ), whose application continues to the present [8]. In order to better address the conserved total angular momentum projection, to improve numerical convergence when confining interactions are present and to facilitate multi-fermion and multiboson applications, we introduced BLFQ by adapting successful methods from ab initio nuclear structure theory [1].We aim to solve the light-front mass eigenvalue problem expressed as,where the operatorsP + andP − are the longitudinal momentum (+) and the light-front quantized Hamiltonian (−), whileP ⊥ represents the transverse momentum. The invariant-mass (M ) spectrum and lightfront state vectors |ψ h result from diagonalizing Eq. 1 in a suitable matrix representation of the effective Hamiltonian. Expressing the state...

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Section: Mixed Flavor Heavy Quarkoniumsupporting

confidence: 91%

“…Following up on the successful applications of BLFQ to single-flavor heavy quarkonium [21; 22], we investigate an example of the unequal mass relativistic bound state system, the Bc mesons, with the Hamiltonian of Eq. 1 again solved in the BLFQ approach [24]. Following Ref.…”

Section: Mixed Flavor Heavy Quarkoniummentioning

confidence: 99%

Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

et al. 2018

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“…In this work, we adopt the effective Hamiltonian within the |qq Fock sector in the form introduced for the heavy mesons [2,3]. It comprises two parts H tot = H 0 + V eff g , where…”

Section: Basis Light-front Quantization For Heavy-light Systemsmentioning

confidence: 99%

“…is the holographic QCD Hamiltonian [14,15] augmented by massive quark kinematics and the longitudinal confinement [2,3]. In addition, the spin structure of the hadrons is gen-erated by the effective one-gluon-exchange potential V eff g .…”

Section: Basis Light-front Quantization For Heavy-light Systemsmentioning

confidence: 99%

“…First, the combination of a heavy and a light quark is the closest QCD analogue of the hydrogen atom in QED, so that similarities and differences in spectroscopic features could inform discussions of the relative roles of gauge-boson exchange and confinement. Second, the successful applications of BLFQ to heavy meson systems [2,3] provides a foundation for understanding the roles of key elements of the quark-antiquark effective Hamiltonian adopted for the heavy-light system. We employ the same form of Hamiltonian with only two fit parameters in order to test the validity of our model as well as some novel behavior for the heavy-light mesons.…”

Section: Introductionmentioning

confidence: 99%

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Heavy-light mesons on the light front

Tang

Maris

et al. 2020

Eur. Phys. J. C

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We study the heavy-light mesons within basis light-front quantization. The resulting mass spectra of D, D s , B, and B s agree reasonably well with experiments. We also predict states which could be measured in the near future. In the light-front formalism, we calculate the light-front wave functions and additional experimental observables, such as parton distribution functions, distribution amplitudes, and decay constants by means of integrations over light-front wave functions. We also provide ratios of decay constants for selected pseudoscalar meson decays (D s to D and B s to B) as they may prove to be theoretically more robust and more reliably determined in experiments. We find that our ratios are systematically smaller than existing experiments and other approaches by 5-18%.

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Anisotropic flow and the valence quark skeleton of hadrons

Li,

Qian,

et al. 2023

J. High Energ. Phys.

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We study transverse momentum anisotropies, in particular, the elliptic flow v2 due to the interference effect sourced by valence quarks in high-energy hadron-hadron collisions. Our main formula is derived as the high-energy (eikonal) limit of the impact-parameter dependent cross section in quantum field theory, which agrees with that in terms of the impact parameter in the classical picture. As a quantitative assessment of the interference effect, we calculate v2 in the azimuthal distribution of gluons at a comprehensive coverage of the impact parameter and the transverse momentum in high-energy pion-pion collisions. In a broad range of the impact parameter, a sizable amount of v2, comparable with that produced due to saturated dense gluons or final-state interactions, is found to develop. This is in contrast with similar studies in heavy-ion collisions using classical color charge distributions in which such a contribution from geometric correlations was found to be small and has, hence, been ignored in recent studies. In our calculations, the valence sector of the pion wave function is obtained numerically from the Basis Light-Front Quantization, a non-perturbative light-front Hamiltonian approach. And our formalism is generic and can be applied to other small collision systems like proton-proton collisions.

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Bc mesons and their properties on the light front

Cited by 55 publications

References 35 publications

Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

Heavy-light mesons on the light front

Anisotropic flow and the valence quark skeleton of hadrons

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