Journal ArticleDOI
Relativistic corrections to the long-range quark antiquark potential electric flux tubes, and area law
TLDR
In this paper, the gauge-invariant approach to the potential via the Wilson loop is generalized, replacing the static sources by the appropriate Dirac currents, and the resulting expression is expanded with respect to l/m2 and then brought into a suitable form.Abstract:
The gauge-invariant approach to the potential via the Wilson loop is generalized, replacing the static sources by the appropriate Dirac currents. The resulting expression is expanded with respect to l/m2 and then brought into a suitable form. For the evaluation the only input we employ is the area law for large distances. This allows us to understand how the electric flux tube picture emerges in the case of moving quarks, and why magnetic terms do not contribute to spin-dependent corrections. The only surviving spin dependence is a spin-orbit term like that from a scalar potential, but with the opposite sign.read more
Citations
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Baryons in a relativized quark model with chromodynamics
Simon Capstick,Nathan Isgur +1 more
TL;DR: The three quark system is studied in a relativized version of the quark potential model with chromodynamics and the spectrum of baryons is described with parameters consistent with those of an analogous study of meson spectroscopy.
Journal ArticleDOI
Nonperturbative determination of the QCD potential at O(1/m).
TL;DR: The relativistic correction to the QCD static interquark potential at O(1/m) is investigated nonperturbatively for the first time by using lattice Monte Carlo QCD simulations and is found to be comparable with the Coulombic term of the static potential when applied to charmonium.
Journal ArticleDOI
Complete O(v 2 ) corrections to the static interquark potential from SU(3) gauge theory
TL;DR: In this paper, the spin and momentum-dependent order corrections to the static interquark potential from simulations of QCD in the valence quark approximation at inverse lattice spacings of 2{endash}3 GeV were determined.
Journal ArticleDOI
Spin-dependent potentials from lattice QCD
TL;DR: The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra as discussed by the authors.
Journal ArticleDOI
Spin-Dependent Potentials in QCD and the Correct Long-Range Spin Orbit Term
TL;DR: In this article, the authors show that there is a relation between the various potentials which was violated by these assumptions and show that the correct treatment yields an, additional spin-orbit term which reverses the sign of the one obtained before and brings it into agreement with that of an effective scalar exchange.
References
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Journal ArticleDOI
Confinement of Quarks
TL;DR: In this paper, it is shown how to quantize a gauge field theory on a discrete lattice in Euclidean space-time, preserving exact gauge invariance and treating the gauge fields as angular variables.
Journal ArticleDOI
Spin-Dependent Forces in Heavy-Quark Systems
Estia Eichten,Frank L. Feinberg +1 more
TL;DR: In this article, the Coulomb plus linear potential model was used to obtain spin-dependent forces for heavy bound states in quantum chromodynamics, where the spin-orbit and Thomas precession terms were expressed in terms of the static energy, assuming that the confinement mechanism is electric.
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Fine- and Hyperfine Structure of Quarkonia
TL;DR: In this paper, it was pointed out that the flux tube picture of electric confinement, which led to the Coulomb plus linear potential model, also predicts the structure of spin-dependent forces in heavy quark systems for large and small distances.
Journal ArticleDOI
Relativistic center-of-mass variables for two-particle systems with spin.
TL;DR: In this paper, the definition of the total momentum, position, and spin for two-free-particle systems is discussed by using the requirement that the generators of the respective invariance groups should have the same form expressed in terms of them as for a single particle.