Treatment of confinement in the Faddeev approach to three-quark problems
J. McEwen, J. Day, A. Gonzalez, Z. Papp, W. Plessas
TL;DR
This paper introduces a method to solve Faddeev integral equations for three-quark systems with confining potentials using a Coulomb-Sturmian basis, enabling accurate treatment of confinement in a relativistic quark model.
Contribution
It presents a novel approach to handle confinement in three-quark problems within the Faddeev framework using a Coulomb-Sturmian basis.
Findings
Exact treatment of confining potentials achieved
Method applicable to semirelativistic quark models
Facilitates numerical solutions of three-quark equations
Abstract
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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