Numerical solution of two-body relativistic equations for the bound-state problem with confining and Coulomb potentials (Q1973498)

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scientific article; zbMATH DE number 1437168
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Numerical solution of two-body relativistic equations for the bound-state problem with confining and Coulomb potentials
scientific article; zbMATH DE number 1437168

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    Numerical solution of two-body relativistic equations for the bound-state problem with confining and Coulomb potentials (English)
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    6 February 2001
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    This paper is devoted to the numerical investigation of the behavior of mesons considering them as quark-antiquark bound-states. Their behavior is described by some three-dimensional integral equations within the framework of some relativistic potential QCD models with singularities in its kernel in the momentum space. The numerical study is carried out by generalized continuous Newton iteration methods implemented by their own computer programs called SLIPH4 and SYSINT using modified potentials to remove singularities in the Coulomb and confining potential.
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    relativistic Schrödinger equation
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    relativistic equations for the bound-state problem
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    Coulomb potential
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    modified potentials
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    numerical algorithms
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    continuous Newton iteration method
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