Dynamical model for longitudinal wave functions in light-front holographic QCD

Sophia S. Chabysheva; John R. Hiller

doi:10.1016/j.aop.2013.06.016

Dynamical model for longitudinal wave functions in light-front holographic QCD

Sophia S. Chabysheva, John R. Hiller

Physics & Astronomy (Duluth)

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We construct a Schrödinger-like equation for the longitudinal wave function of a meson in the valence qq̄ sector, based on the 'tHooft model for large. N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and de Téramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.

Original language	English (US)
Pages (from-to)	143-152
Number of pages	10
Journal	Annals of Physics
Volume	337
DOIs	https://doi.org/10.1016/j.aop.2013.06.016
State	Published - Oct 2013

Bibliographical note

Funding Information:
This work was supported in part by the Department of Energy through Contract No. DE-FG02-98ER41087 . We thank G.F. de Téramond and S.J. Brodsky for helpful comments.

Keywords

AdS correspondence
Holographic QCD
Light-front Schrödinger equation
Quark model

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title = "Dynamical model for longitudinal wave functions in light-front holographic QCD",

abstract = "We construct a Schr{\"o}dinger-like equation for the longitudinal wave function of a meson in the valence q{\=q} sector, based on the 'tHooft model for large. N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and de T{\'e}ramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.",

keywords = "AdS correspondence, Holographic QCD, Light-front Schr{\"o}dinger equation, Quark model",

author = "Chabysheva, {Sophia S.} and Hiller, {John R.}",

note = "Funding Information: This work was supported in part by the Department of Energy through Contract No. DE-FG02-98ER41087 . We thank G.F. de T{\'e}ramond and S.J. Brodsky for helpful comments. ",

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doi = "10.1016/j.aop.2013.06.016",

language = "English (US)",

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T1 - Dynamical model for longitudinal wave functions in light-front holographic QCD

AU - Chabysheva, Sophia S.

AU - Hiller, John R.

N1 - Funding Information: This work was supported in part by the Department of Energy through Contract No. DE-FG02-98ER41087 . We thank G.F. de Téramond and S.J. Brodsky for helpful comments.

PY - 2013/10

Y1 - 2013/10

N2 - We construct a Schrödinger-like equation for the longitudinal wave function of a meson in the valence qq̄ sector, based on the 'tHooft model for large. N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and de Téramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.

AB - We construct a Schrödinger-like equation for the longitudinal wave function of a meson in the valence qq̄ sector, based on the 'tHooft model for large. N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and de Téramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.

KW - AdS correspondence

KW - Holographic QCD

KW - Light-front Schrödinger equation

KW - Quark model

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SP - 143

EP - 152

JO - Annals of Physics

JF - Annals of Physics

ER -

Dynamical model for longitudinal wave functions in light-front holographic QCD

Abstract

Bibliographical note

Keywords

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