Pérez-Nadal, GuillemSoto Riera, Joan2019-04-052019-04-052009-06-011550-7998https://hdl.handle.net/2445/131511The 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 / m 0 ) 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 / m 2 velocity-dependent and spin-dependent potentials. Once Poincaré 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.5 p.application/pdfeng(c) American Physical Society, 2009QuarksNivells d'energia (Mecànica quàntica)QuarksEnergy levels (Quantum mechanics)info:eu-repo/semantics/article5776562019-04-05info:eu-repo/semantics/openAccess