2008/11/30 by Guillem Pérez-Nadal, Guillem Perez-Nadal, Joan Soto · 39 citations
Physics and Astronomy · #Classical mechanics #Coupling (piping) #High-Energy Particle Collisions Research #Lattice (music) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Quarkonium #Spin (aerodynamics) #String (physics) #Theoretical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.79.114002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(11) (American Physical Society) · 5 pages, 1 figure, reference and explanations added. Journal version
arxiv created 2009/05/22 · openalex publication_date 2009/06/01 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The dynamics of heavy quarkonium systems in the strong coupling regime reduces to a quantum mechanical problem with a number of potentials which may be organized in powers of 1/m, m being the heavy quark mass. The potentials must be calculated nonperturbatively, for instance, in lattice QCD. It is well known that the long-distance behavior of the static (1/m0) potential is well reproduced by an effective string theory. We show that this effective string theory, if correct, should also reproduce the long-distance behavior of all 1/m suppressed potentials. We demonstrate the practical usefulness of this result by finding a suitable parameterization of the recently calculated 1/m potential. We also calculate the 1/m2 velocity-dependent and spin-dependent potentials. Once Poincar'e invariance is implemented, the shapes of most of the spin-independent potentials are fully predicted in terms of the string tension and the shapes of the spin-dependent ones in terms of a single parameter.