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urn:hdl:2445/131511 Effective-string-theory constraints on the long-distance behavior of the subleading potentials Pérez-Nadal, Guillem Soto Riera, Joan Quarks Nivells d'energia (Mecànica quàntica) Quarks Energy levels (Quantum mechanics) 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 / 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. 2019-04-05T10:04:38Z 2019-04-05T10:04:38Z 2009-06-01 2019-04-05T10:04:38Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://doi.org/10.1103/PhysRevD.79.114002 Physical Review D, 2009, vol. 79, num. 11, p. 114002 https://doi.org/10.1103/PhysRevD.79.114002 (c) American Physical Society, 2009 info:eu-repo/semantics/openAccess American Physical Society Articles publicats en revistes (Física Quàntica i Astrofísica)