Trigonometric quark confinement potential of QCD traits
arXiv:0708.2521 · doi:10.1140/epja/i2007-10444-0
Abstract
We make the case that the Coulomb- plus linear quark confinement potential predicted by lattice QCD is an approximation to the exactly solvable trigonometric Rosen-Morse potential that has the property to interpolate between the Coulomb- and the infinite wells. We test the predictive power of this potential in the description of the nucleon (considered as a quark-diquark system) and provide analytic expressions for its mass spectrum and the proton electric form factor. We compare the results obtained in this fashion to data and find quite good agreement. We obtain an effective gluon propagator in closed form as the Fourier transform of the potential under investigation.
4 pages, 5 figures
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- Nucleon electromagnetic form factors
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- Conformal symmetry and light flavor baryon spectra
- Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space time dS4
- On polynomial solutions to Fokker-Planck and sinked density evolution equations
- On the exact solubility in momentum space of the trigonometric Rosen-Morse potential
- Momentum space trigonometric Rosen-Morse potential
- Quarkonium and hydrogen spectra with spin dependent relativistic wave equation
- Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
- Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement
- Illustrative Model for Parity Doubling of Energy Levels