Quarkonium Wave Functions on the Light Front

Yang, Li

doi:10.1007/s00601-017-1266-6

Cited by 8 publications

(6 citation statements)

References 30 publications

(26 reference statements)

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“…Observables including decay constants, r.m.s. radii [7], distribution amplitudes and parton distributions as well as diffractive vector meson productions [8] have been directly calculated from the light-front wavefunctions (LFWFs), and are in reasonable agreement with experiments and with other approaches (see also Ref. [9]).…”

Section: Introductionsupporting

confidence: 68%

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Li¹,

Li²,

Maris³

et al. 2018

Phys. Rev. D

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We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front Quantization (BLFQ) approach in a holographic basis. We study the transition form factor with both the traditional "good current" J + and the transverse current J ⊥ (in particular, J R = J x + iJ y ). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m j = 0, ±1). We use the m j = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wavefunctions and is more robust in practical calculations. While the m j = ±1 states are also examined, transition form factors depend on subdominant components of the light-front wavefunctions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements as well as with Lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either m j = 0 or m j = 1 light-front wavefunctions. This consistency provides evidence for features of rotational symmetry within the model.

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Section: Introductionsupporting

confidence: 68%

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Li¹,

Li²,

Maris³

et al. 2018

Phys. Rev. D

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“…It is noted that, in LFWF representation [52], the r.m.s. radii can also be related to the impact parameter b ⊥ ≡ (1 − x)r ⊥ [29] by r 2 = (3/2) b 2 ⊥ [21,22]. One can define a total of nine real GPDs for the spin-one hadrons through the non-local matrix elements of the (axial) vector current on the LF.…”

Section: Form Factors and Generalized Parton Distributions For Spin-o...mentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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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confidence: 99%

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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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“…For example, Hamiltonian methods are gaining popularity in non-perturbative solutions of quantum field theory [32][33][34][35][36][37][38][39][40][41][42] motivated, in part, by the advances being made by our teams in solving the ab initio NCSM/NCFC. Recent applications, in what is called the Basis Light-Front Quantization (BLFQ) approach [32][33][34], include non-perturbative solutions of positronium at strong coupling [39,[43][44][45][46][47] and solutions for the mass spectra, decay constants, form factors and vector meson production rates for heavy quarkonia [48][49][50][51][52][53][54][55]. Remarkably, results for QED in the BLFQ approach have been achieved with Hamiltonian matrix dimensions exceeding 18 billion basis states [41,42].…”

Section: Ab Initio No Core Shell Modelmentioning

confidence: 99%

Ab Initio No Core Shell Model with Leadership-Class Supercomputers

Vary,

Basili,

et al. 2018

Preprint

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Nuclear structure and reaction theory is undergoing a major renaissance with advances in many-body methods, strong interactions with greatly improved links to Quantum Chromodynamics (QCD), the advent of high performance computing, and improved computational algorithms. Predictive power, with well-quantified uncertainty, is emerging from non-perturbative approaches along with the potential for guiding experiments to new discoveries. We present an overview of some of our recent developments and discuss challenges that lie ahead. Our foci include: (1) strong interactions derived from chiral effective field theory; (2) advances in solving the large sparse matrix eigenvalue problem on leadership-class supercomputers; (3) selected observables in light nuclei with the JISP16 interaction; (4) effective electroweak operators consistent with the Hamiltonian; and, (5) discussion of A = 48 system as an opportunity for the no-core approach with the reintroduction of the core.

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Quarkonium Wave Functions on the Light Front

Cited by 8 publications

References 30 publications

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

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

Ab Initio No Core Shell Model with Leadership-Class Supercomputers

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