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Treatment of confinement in the Faddeev approach to three-quark problems

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arxiv 1001.4062 v1 pith:64QTHET3 submitted 2010-01-22 nucl-th

Treatment of confinement in the Faddeev approach to three-quark problems

classification nucl-th
keywords basisconfiningequationsfaddeevintegralmodelsolvetreatment
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A method is presented that allows to solve the Faddeev integral equations of the semirelativistic constituent quark model. In such a model the quark-quark interaction is modeled by a infinitely rising confining potential and the kinetic energy is taken in a relativistic form. We solve the integral equations in Coulomb-Sturmian basis. This basis facilitate an exact treatment of the confining potentials.

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Cited by 1 Pith paper

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  1. Relativistic Feshbach-Villars Equation for Two Spin-$0$ Particles

    nucl-th 2026-05 unverdicted novelty 5.0

    Extends the Feshbach-Villars equation to two spin-0 particles with center-of-mass separation, yielding a relative-coordinate form.