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Covariant Structure of Light-Front Wave Functions and the Behavior of Hadronic Form Factors.

DE2004826513

Publication Date	2003
Personal Author	Brodsky, S. J.; Hiller, J. R.; Hwang, D. S.; Karmanov, V. A.
Page Count	34
Abstract	We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector (omega)(sup (mu)). The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents M(sub 0)(sup 2) = ((Sigma)k(sup (mu)))(sup 2) and the light-cone momentum fractions x(sub i) = k(sub i)(omega)/p(omega) multiplied by invariants constructed from the spin matrices, polarization vectors, and (omega)(sup (mu)). These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons.
Keywords	Wave functions Hadrons Form factors Analytical functions Quarks Gluons Amplitudes Angular momentum Eigenstates Light cone Dispersion models Quantum chromodynamics Spin Nucleons Angular momentum operators Matrices Polarization
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.; Minnesota Univ.-Duluth. Dept. of Physics.; Lebedev Physical Inst., Moscow (Russia).; Sejong Univ., Seoul (Korea). Dept. of Physics.
Supplemental Notes	Prepared in cooperation with Minnesota Univ.-Duluth. Dept. of Physics., Sejong Univ., Seoul (Korea). Dept. of Physics. and Lebedev Physical Inst., Moscow (Russia). Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200510

Covariant Structure of Light-Front Wave Functions and the Behavior of Hadronic Form Factors.

Covariant Structure of Light-Front Wave Functions and the Behavior of Hadronic Form Factors.
DE2004826513

Publication Date	2003
Personal Author	Brodsky, S. J.; Hiller, J. R.; Hwang, D. S.; Karmanov, V. A.
Page Count	34
Abstract	We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector (omega)(sup (mu)). The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents M(sub 0)(sup 2) = ((Sigma)k(sup (mu)))(sup 2) and the light-cone momentum fractions x(sub i) = k(sub i)(omega)/p(omega) multiplied by invariants constructed from the spin matrices, polarization vectors, and (omega)(sup (mu)). These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons.
Keywords	Wave functions Hadrons Form factors Analytical functions Quarks Gluons Amplitudes Angular momentum Eigenstates Light cone Dispersion models Quantum chromodynamics Spin Nucleons Angular momentum operators Matrices Polarization
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.; Minnesota Univ.-Duluth. Dept. of Physics.; Lebedev Physical Inst., Moscow (Russia).; Sejong Univ., Seoul (Korea). Dept. of Physics.
Supplemental Notes	Prepared in cooperation with Minnesota Univ.-Duluth. Dept. of Physics., Sejong Univ., Seoul (Korea). Dept. of Physics. and Lebedev Physical Inst., Moscow (Russia). Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200510