Light-front holographic ρ-meson distributions in the momentum space

Kaur, Satvir; Mondal, Chandan; Dahiya, Harleen

doi:10.1007/jhep01(2021)136

Cited by 12 publications

(13 citation statements)

References 88 publications

(132 reference statements)

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“…The unpolarized PDF f 1 (x) of ψ(3770) has an extensive flat region, indicating its large angular excitation. A recent study on ρ meson PDF also reveal a large flat region using the light-front holographic wavefunction [71]. Compared to J/ψ and ψ , the polarized PDF h 1 (x) and g 1 (x) of ψ(3770) are each different from f 1 (x).…”

Section: Parton Distributionsmentioning

confidence: 91%

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Light-front wavefunctions of mesons by design

Li¹,

Li²,

Chen³

et al. 2021

Preprint

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We develop a mechanism to build the light-front wavefunctions (LFWFs) of meson bound states on a smallsized basis function representation. Unlike in a standard Hamiltonian formalism, the Hamiltonian in this method is implicit, and the information of the system is carried directly by the functional form and adjustable parameters of the LFWFs. In this work, we model the LFWFs for four charmonium states, η c , J/ψ, ψ , and ψ(3770) as superpositions of orthonormal basis functions. We choose the basis functions as eigenfunctions of an effective Hamiltonian, which has a longitudinal confining potential in addition to the transverse confining potential from light-front holographic QCD. We determine the basis function parameters and superposition coefficients by employing both guidance from the nonrelativistic description of the meson states and the experimental measurements of the meson decay widths. With the obtained wavefunctions, we study the features of those meson states, including charge radii and parton distribution functions. We use the J/ψ LFWF to calculate the meson production in diffractive deep inelastic scattering and ultra-peripheral heavy-ion collisions, and the η c LFWF to calculate its diphoton transition form factor. Both results show good agreement with experiments. The obtained LFWFs have simple-functional forms and can be readily used to predict additional experimental observables.

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Section: Parton Distributionsmentioning

confidence: 91%

“…For vector mesons, the PDFs are defined in terms of the quark-quark correlation function probed in the spin-one target lepton-hadron scattering [66][67][68][69][70][71]. The PDFs appear as the parametrization coefficients in front of the Dirac γ-matrices, and there are four time-reversal even distributions at the leading twist.…”

Section: Parton Distributionsmentioning

confidence: 99%

Light-front wavefunctions of mesons by design

Li¹,

Li²,

Chen³

et al. 2021

Preprint

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“…There is also a gauge link connecting the quark fields, which arises from the gluons. We set it to unity for the study of T-even TMDs as in other studies [8,9,28]. At leading twist, there are nine time-reversal even TMDs entering the parametrization of Θ (Λ) 𝑺 𝛽𝛼 (𝑥, 𝒌 𝑇 ), i.e., [25,27]…”

Section: Definition and Overlap Representation Of Vector Meson Tmdsmentioning

confidence: 99%

“…There are three tensor polarized TMDs 𝑓 1𝐿𝐿 , 𝑓 1𝐿𝑇 and 𝑓 1𝑇𝑇 that are specific to spin-one hadron. The overlap representation of vector meson TMDs in terms of LF-LFWFs have been given by authors in [28], with more details in [26,27]. Introducing the quantity…”

Section: Definition and Overlap Representation Of Vector Meson Tmdsmentioning

confidence: 99%

“…While no experimental measurement on spin-1 TMDs is available at present, theoretical study can provide insight into the 3d structure of spin-1 particles in the momentum space. The 𝜌 meson TMDs have thus been studied with NJL model [27] and light front models [28], and some photon TMDs are studied with the basis * cshi@nuaa.edu.cn light front quantization (BLFQ) approach [29].…”

Section: Introductionmentioning

confidence: 99%

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Transverse momentum distributions of valence quark in light and heavy vector mesons

Shi,

Li,

et al. 2022

Preprint

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We study the leading-twist time-reversal even transverse momentum dependent parton distribution functions (TMDs) of light and heavy vector mesons, i.e., the 𝜌, 𝐽 /𝜓 and Υ. We employ the leading Fock-state light front wave functions (LF-LFWFs) of 𝜌 and 𝐽 /𝜓 from our recent study, and supplement with Υ's LF-LFWFs. These LF-LFWFs are extracted from dynamically solved Bethe-Salpeter wave functions. The vector meson TMDs are then studied with the light front overlap representation at leading Fock-state. All the obtained TMDs are non-vanishing and evolve with current quark mass, in particular the tensor polarized TMDs 𝑓 1𝐿𝑇 and 𝑓 1𝑇𝑇 which undergo a sign flip. The 𝜌 TMDs are compared with other model studies and agreement is found, aside from 𝑓 1𝐿𝑇 and 𝑓 1𝑇𝑇 . Finally, the collinear PDFs of vector mesons are studied. The 𝜌's valence PDFs 𝑓 1,𝑣 (𝑥) and 𝑔 1𝐿,𝑣 (𝑥) are evolved to the scale of 2.4 GeV, with their first three moments compared to lattice QCD prediction. The qualitative behavior of tensor polarized PDF 𝑓 1𝐿𝐿 (𝑥) in 𝜌 at large 𝑥 is also discussed.

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T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism

Puhan,

Sharma,

Kaur

et al. 2024

J. High Energ. Phys.

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We have investigated the pseudo-scalar meson structure in the form of transverse momentum-dependent parton distribution functions (TMDs) in the light-front based holographic model and quark model. Starting from leading order, we have calculated all the time-reversal even TMDs for pion and kaon up to twist-4 in these models. We have shown the 3-dimensional structure as well as the 2-dimensional structure of these particles along with their average quark transverse momenta. The parton distribution functions (PDFs) of pseudo-scalar pion have been compared with E615 and modified E615 results. The sum rules, TMD transverse dependence, inverse moments and Gaussian transverse dependence ratio in these models have also been studied. Further, the transverse quark densities have also been analyzed in the momentum space plane for these particles. The higher twist kaon properties in light-front framework have been predicted for the first time in this work.

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Light-front holographic ρ-meson distributions in the momentum space

Cited by 12 publications

References 88 publications

Light-front wavefunctions of mesons by design

Light-front wavefunctions of mesons by design

Transverse momentum distributions of valence quark in light and heavy vector mesons

T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism

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