The pion in holographic light-front QCD

Ahmady, Mohammad; Chishtie, Farrukh; Sandapen, Ruben

doi:10.1016/j.nuclphysbps.2018.03.018

Cited by 1 publication

(2 citation statements)

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“…As for the present case, the function µ(x i ; θ) indicates the pionic leading-twist DA moments ξ n 2;π | µ defined by combining Eqs. (6,16,21) and θ = (α 2;π , B 2;π 2 ); The theoretical values of ξ n 2;π | µ calculated by QCD sum rules in next section are assumed to be the value of y i and its variance σ i . The probability density function of χ 2 can be obtained,…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Making use of the approximate bound state solution of a hadron in terms of the quark model as the starting point, Brodsky-Huang-Lepage (BHL) suggest the light-cone harmonic oscillator model (LCHO model) which is obtained by connecting the equal-time wavefunction (WF) in the rest frame and the WF in the infinite momentum frame [15]. Meanwhile, the holographic Schrödinger equation for meson maps onto the fifth dimension of anti-de Sitter with QCD potential (AdS/QCD) [16].…”

Section: Introductionmentioning

confidence: 99%

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An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude

Zhong,

Zhu,

et al. 2021

Preprint

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In this paper, we study the pion leading-twist distribution amplitude φ2;π(x, µ) by improving the traditional light-cone harmonic oscillator model within the reconstruction of the function ϕ2;π(x). In order to constraining the model parameters, we calculate its moments ξ n 2;π |µ in the framework of QCD background field theory sum rule (BFTSR) up to 10 th order. Considering the fact that the sum rule of the 0 th moment ξ 0 2;π|µ cannot be normalized, we suggest a more reasonable sum rule formula for ξ n 2;π |µ. Then, we obtain the values of ξ n 2;π |µ 0 with n = (2, 4, 6, 8, 10) at the initial scale µ0 = 1 GeV. The first two moments are: ξ 2 2;π |µ 0 = 0.271 ± 0.013, ξ 4 2;π |µ 0 = 0.138 ± 0.010; and the corresponding Gegenbauer moments are a 2;π 2 (µ0) = 0.206 ± 0.038, a 2;π 4 (µ0) = 0.047 ± 0.011, respectively. After fitting the moments ξ n 2;π |µ, we obtained the appropriate model parameters by using the least square method. The resultant behavior for twist-2 pion DA is more closely to the AdS/QCD and lattice result, but is narrower than that by Dyson-Schwinger equation. Furthermore, we calculate the pion-photon transition form factors (TFF) and B → π TFF within light-cone sum rule approach, which are conform with experimental and theoretical results.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%