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Li, Si-Chen; Wang, Tianhong; Jiang, Yue; Tan, Xiao-Ze; Li, Qiang; Wang, Guoli; Chang, C. C.

doi:10.1103/physrevd.97.054002

Cited by 16 publications

(19 citation statements)

References 54 publications

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“…INTRODUCTIONExploring the electromagnetic (EM) properties of spin-one hadrons has been of great interest because it provides insight into the spin-sensitive structure and the internal dynamics of the hadrons. In particular, hadronic form factors (FFs) serve as one important tool to understand the structure of bound states in quantum chromodynamics (QCD).The numerous investigations on the structure of the spin-zero and spin-one hadrons that include FFs in different formalisms [1-24] provide a window for understanding hadronic structure at low and medium momentum transfer.The investigations with relativistic approaches [1,[6][7][8][9][10][11][12][13][20][21][22][23][24] have presented results for FFs, decay constants and the distribution amplitudes of spin-zero and spin-one bound-state systems such as the pion (π), kaon (K), rho meson (ρ) and J/ψ meson adopting different light front (LF) models. Note a recent investigation [23] has shown the FFs of (pseudo) scalar mesons calculated in a general frame.…”

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Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization

Adhikari

et al. 2019

Phys. Rev. C

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We calculate the electromagnetic (charge, magnetic and quadrupole) form factors and the associated static moments of heavy quarkonia (charmonia and bottomonia) using the Basis Light Front Quantization (BLFQ) approach. For this work, we adopt light front wavefunctions (LFWFs) generated by a holographic QCD confining potential and a one-gluon exchange interaction with fixed coupling. We compare our BLFQ results with the limiting case of a single BLFQ basis state description of heavy quarkonia and with other available results. These comparisons provide insights into relativistic effects. Using the same LFWFs generated in the BLFQ approach, we also present the generalized parton distributions (GPDs) for selected mesons including those for radially excited mesons such as ψ and Υ . Our GPD results establish the foundation within BLFQ for further investigating hadronic structure such as probing the spin structure of spin-one hadrons in the off-forward limit. I. INTRODUCTIONExploring the electromagnetic (EM) properties of spin-one hadrons has been of great interest because it provides insight into the spin-sensitive structure and the internal dynamics of the hadrons. In particular, hadronic form factors (FFs) serve as one important tool to understand the structure of bound states in quantum chromodynamics (QCD).The numerous investigations on the structure of the spin-zero and spin-one hadrons that include FFs in different formalisms [1-24] provide a window for understanding hadronic structure at low and medium momentum transfer.The investigations with relativistic approaches [1,[6][7][8][9][10][11][12][13][20][21][22][23][24] have presented results for FFs, decay constants and the distribution amplitudes of spin-zero and spin-one bound-state systems such as the pion (π), kaon (K), rho meson (ρ) and J/ψ meson adopting different light front (LF) models. Note a recent investigation [23] has shown the FFs of (pseudo) scalar mesons calculated in a general frame. That work has also pointed out the differences among the results calculated in the various frames including the Drell-Yan frame.Despite these numerous studies and growing interests, there is little consensus on how to obtain static moments such as the quadrupole moments on the LF. Furthermore, investigations on the EM FFs and the associated static moments of radially excited vector mesons such as ψ and Υ are rare to the best of our knowledge [14,15]. It is *

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confidence: 99%

Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization

Adhikari

et al. 2019

Phys. Rev. C

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“…In practice, however, the Lorentz symmetry is broken by the Fock-sector truncation in our model [42][43][44]. 4 The frame dependence of the Dirac form factor could hence serve as a measure of the Lorentz symmetry violation, which will be the topic of a future work.…”

Section: Dirac Form Factormentioning

confidence: 99%

Basis light-front quantization for a chiral nucleon-pion Lagrangian

Zhao

et al. 2020

Phys. Rev. C

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We present the first application of the Basis Light-Front Quantization method to a simple chiral model of the nucleon-pion system as a relativistic bound state for the physical proton. The light-front mass-squared matrix of the nucleon-pion system is obtained within a truncated basis. The mass and the corresponding light-front wave function (LFWF) of the proton are computed by numerical diagonalization of the resulting mass-squared matrix. With the boost invariant LFWF, we calculate the probability density distribution of the pion's longitudinal momentum fraction and the Dirac form factor of the proton. * BLFQ employs the LF formalism [18,19], where physical systems are quantized at fixed LF time x + = t+z [8,20]. The structure and dynamics of the systems are characterized by the Hamiltonian formalism. The LF vacuum has a simple structure since the Fock vacuum is an exact eigenstate of the full normal-ordered Hamiltonian [21,22]. This provides access to the Fock-space expansion of the physical states in the LF field theory and thereby generates physical intuition for their underlying structures [21,22].BLFQ also takes the advantage of the developments in ab initio non-relativistic quantum many-body theories, such as the No-Core Shell Model (NCSM) [23][24][25], and the rapidly developing supercomputing techniques (algorithms and hardwares) (see, e.g., [26] and references therein). In BLFQ, the LF mass-squared operator of a hadron system in the basis representation becomes a sparse matrix whose dimensions are controlled by truncations that respect the relativistic symmetries. By matrix diagonalization, the eigenvalues produce the mass sprectum, while the resulting eigenfunctions are the light-front wave functions (LFWFs) that encode the hadronic properties. The LFWFs can be boosted to a general Lorentz frame for calculating, e.g., form factors and scattering processes [21].The LF quantization approach to treat a chiral model of the nucleon-pion (N π) system was first proposed by Miller [27,28] in investigating the N π scattering and the nucleon-nucleon scattering via perturbation theory. In this work, we will present the first non-perturbative treatment of the same chiral model via the BLFQ method. In particular, we consider a physical proton as the relativistic bound state of the N π system. Via the BLFQ approach, we obtain the LF mass-squared matrix of the N π system within a truncated basis. We compute the proton's mass and the corresponding LFWF by numerical diagonalization of the mass-squared matrix. Based on the LFWF, we evaluate the probability density distribution of the pion's longitudinal momentum fraction and the Dirac form factor of the proton.The outline of this paper is the following. We begin by introducing our adopted Lagrangian density in Sec. 2. Then, in Sec. 3, we introduce the elements of BLFQ, such as the derivation of the LF Hamiltonian density, our choice of the basis construction and truncation schemes, the derivation of the mass-squared matrix element in the basis representation, and the fo...

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“…This is an advantage over the usual formalism and allows a great simplification in calculations of bound states [16,19]. However, some problems with that approach remain, the most critical point is the loss of covariance in some physical processes [20,21,22,23,24,25]. In order to restore the full covariance of the electromagnetic current, besides the valence component, we need to add the nonvalence contributions or zero-modes to the matrix elements of the electromagnetic current to keep the full covariance [20,22,23,24,26].…”

Section: Introductionmentioning

confidence: 99%

“…For both, calculations, the quark mass, is m q = 0.430 GeV and m R = 3.0 GeV . In the figures above, if the z-terms, or zero modes is not include, the value of zero for Eq (25),. is different (about 2.4 GeV 2 ), and also, the angular condition is not satisfied.…”

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confidence: 99%

Unambiguous extraction of the electromagnetic form factors for spin-1 particles on the light-front

Melo

2019

Physics Letters B

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The electromagnetic form factors of a composite vector particle within the lightfront formulation of the Mandelstam formula is investigated. In order to extract the form factors from the matrix elements of the plus component of the current in the Drell-Yan frame, where the momentum transfer is chosen such that q + = q 0 +q 3 = 0, one has in principle the freedom to choose between different linear combinations of matrix elements of the current operator. The different prescriptions to calculate the electromagnetic form factors, G 0 , G 1 and G 2 , i.e.; charge form factor, magnetic and quadrupole respectively. If the covariance is respected, all prescriptions give the same results; misfortune, is not the situation; the light-front approach produce different results, which depend of the prescriptions as utilized to extract the electromagnetic form factors in the case of the spin-1 particles. The main differences of the prescriptions appear because of the light-front matrix elements of the electromagnetic current are contaminated by the zero-modes contributions to the same with the plus component of the matrix elements of the electromagnetic current. However, the Inna Grach prescription is immune to the zero-modes contributions to the electromagnetic current, then the electromagnetic form factors extracted with that prescriptions do not have zero-modes contribution and give the same result compared with the instant form quantum field theory. Another's prescriptions with the light-front approach are contaminated by the zero-modes contributions to the matrix elements of the electromagnetic current with the plus component of the current. With some relations between the electromagnetic matrix elements of the electromagnetic current J + ji , as demonstrated analytical here, it was possible to calculate the electromagnetic form factors for spin-1 particles without zero-modes or non-valence contributions.

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Strong decays of DJ(3000) and DsJ(3040)<

Cited by 16 publications

References 54 publications

Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization

Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization

Basis light-front quantization for a chiral nucleon-pion Lagrangian

Unambiguous extraction of the electromagnetic form factors for spin-1 particles on the light-front

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