Predictions for diffractive ɸ meson production using an AdS/QCD light-front wavefunction

Ahmady, Mohammad; Sandapen, Ruben; Sharma, Neetika

doi:10.1063/1.4977129

“…The resulting light-front harmonic oscillator confinement potential κ 4 ζ 2 for light quarks is equivalent to a linear confining potential for heavy quarks in the instant form [17]. The AdS/QCD light-front holographic eigenfunction for the vector meson LFWFs ψ V (x, k ⊥ ) gives excellent predictions for the observed features of diffractive ρ and φ electroproduction [18,19]. Note that the prediction for the LFWF is a function of the LF kinetic energy k …”

Section: Color Confinement and Supersymmetry In Hadronmentioning

confidence: 94%

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Brodsky

¹

,

Téramond

²

,

Dosch

³

et al. 2016

Int. J. Mod. Phys. A

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Superconformal algebra leads to remarkable connections between the masses of mesons and baryons of the same parity -supersymmetric relations between the bosonic and fermionic bound states of QCD. Supercharges connect the mesonic eigenstates to their baryonic superpartners, where the mesons have internal angular momentum one unit higher than the baryons: L M = L B + 1. The dynamics of the superpartner hadrons also match; for example, the power-law fall-off of the form factors are the same for the mesonic and baryonic superpartners, in agreement with twist counting rules. An effective supersymmetric light-front Hamiltonian for hadrons composed of light quarks can be constructed by embedding superconformal quantum mechanics into AdS space. This procedure also generates a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry inside the graded algebra determines a unique quark-confining light-front potential for light hadrons in agreement with the softwall AdS/QCD approach and light-front holography. Only one mass parameter √ λ appears; it sets the confinement mass scale, a universal value for the slope of all Regge trajectories, the nonzero mass of the proton and other hadrons in the chiral limit, as well as the length scale which underlies their structure. The mass for the pion eigenstate vanishes in the chiral limit. When one includes the constituent quark masses using the Feynman-Hellman theorem, the predictions are consistent with the empirical features of the light-quark hadronic spectra. Our analysis can be consistently applied to the excitation spectra of the π, ρ, K, K * and φ meson families as well as to the N, ∆, Λ, Σ, Σ * , Ξ and Ξ * baryons. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass-squared of the light hadrons can be expressed in a universal and frame-independent decomposition of contributions from the constituent kinetic energy, the confinement potential, and spin-spin contributions. We also predict features of hadron dynamics, including hadronic light-front wavefunctions, distribution amplitudes, form factors, valence structure functions and vector meson electroproduction phenomenology. The mass scale √ λ can be connected to the parameter Λ M S in the QCD running coupling by matching the nonperturbative dynamics, as described by the light-front holographic approach. to the perturbative QCD regime. The result is an effective coupling defined at all momenta. The matching of the high and low momentum-transfer regimes determines a scale Q 0 proportional to √ λ which sets the interface between perturbative and nonperturbative hadron dynamics. The use of Q 0 to resolve the factorization scale uncertainty for structure functions and distribution amplitudes, in combi-2 nation with the scheme-independent Principle of Maximal Conformality (PMC) procedure for setting renormalization scales, can greatly improve the precision of perturbative QCD predictions.

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“…With κ = 523 MeV and the βfunction of the QCD running coupling at 5-loops, Brodsky, Deur and de Téramond recently predicted the QCD renormalization scale, Λ M S QCD , in excellent agreement with the world average value [18]. Furthermore, light-front holographic wavefunctions have also been used to predict diffractive vector meson production [19,20]. A fit to the HERA data on diffractive ρ electroproduction, with m u/d = 140 MeV, gives κ = 560 MeV [19] and using κ = 550 MeV (with m u/d [m s ] = 46[140] MeV) leads to a good simultaneous description of the HERA data on diffractive ρ and φ electroproduction [20].…”

Section: ψ(Pmentioning

confidence: 96%

“…Furthermore, light-front holographic wavefunctions have also been used to predict diffractive vector meson production [19,20]. A fit to the HERA data on diffractive [20].…”

Section: Smentioning

confidence: 99%

Spin effects in the pion holographic light-front wavefunction

Ahmady

¹

,

Chishtie

²

,

Sandapen

³

2017

Self Cite

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We account for dynamical spin effects in the holographic light-front wavefunction of the pion in order to predict the mean charge radius, r 2 π , the decay constant, f π , the spacelike electromagnetic form factor, F π (Q 2 ), the twist-2 pion Distribution Amplitude and the photon-to-pion transition form factor F γπ (Q 2 ). Using a universal fundamental AdS/QCD scale, κ = 523 MeV, and a constituent quark mass of 330 MeV, we find a remarkable improvement in describing all observables.

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“…The AdS/QCD light-front holographic eigenfunction for the vector meson LFWFs ψ V (x, k ⊥ ) gives excellent predictions for the observed features of diffractive ρ and φ electroproduction [18,19]. Note that the prediction for the LFWF is a function of the LF kinetic energy k…”

Section: Prediction From Ads/qcd: Meson Lfwfmentioning

confidence: 87%

Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography

Brodsky¹,

Téramond²,

Dosch³

2016

New Physics at the Large Hadron Collider

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Superconformal algebra leads to remarkable connections between the masses of mesons and baryons of the same parity -supersymmetric relations between the bosonic and fermionic bound states of QCD. Supercharges connect the mesonic eigenstates to their baryonic superpartners, where the mesons have internal angular momentum one unit higher than the baryons: L M = L B + 1. The dynamics of the superpartner hadrons also match; for example, the power-law fall-off of the form factors are the same for the mesonic and baryonic superpartners, in agreement with twist counting rules. An effective supersymmetric light-front Hamiltonian for hadrons composed of light quarks can be constructed by embedding superconformal quantum mechanics into AdS space. This procedure also generates a spin-spin interaction between the hadronic constituents. A specific breaking of conformal symmetry inside the graded algebra determines a unique quark-confining light-front potential for light hadrons in agreement with the softwall AdS/QCD approach and light-front holography. Only one mass parameter √ λ appears; it sets the confinement mass scale, a universal value for the slope of all Regge trajectories, the nonzero mass of the proton and other hadrons in the chiral limit, as well as the length scale which underlies their structure. The mass for the pion eigenstate vanishes in the chiral limit. When one includes the constituent quark masses using the Feynman-Hellman theorem, the predictions are consistent with the empirical features of the light-quark hadronic spectra. Our analysis can be consistently applied to the excitation spectra of the π, ρ, K, K * and φ meson families as well as to the N, ∆, Λ, Σ, Σ * , Ξ and Ξ * baryons. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass-squared of the light hadrons can be expressed in a universal and frame-independent decomposition of contributions from the constituent kinetic energy, the confinement potential, and spin-spin contributions. We also predict features of hadron dynamics, including hadronic light-front wavefunctions, distribution amplitudes, form factors, valence structure functions and vector meson electroproduction phenomenology. The mass scale √ λ can be connected to the parameter Λ M S in the QCD running coupling by matching the nonperturbative dynamics, as described by the light-front holographic approach. to the perturbative QCD regime. The result is an effective coupling defined at all momenta. The matching of the high and low momentum-transfer regimes determines a scale Q 0 proportional to √ λ which sets the interface between perturbative and nonperturbative hadron dynamics. The use of Q 0 to resolve the factorization scale uncertainty for structure functions and distribution amplitudes, in combi-

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Predictions for diffractive ɸ meson production using an AdS/QCD light-front wavefunction

Cited by 6 publications

References 59 publications

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography

Spin effects in the pion holographic light-front wavefunction

Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography

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