2026-04-17T12:52:42Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1315112025-12-05T16:46:27Zcom_2072_1057col_2072_478823col_2072_478904col_2072_478917
RECERCAT
author
Pérez-Nadal, Guillem
author
Soto Riera, Joan
2019-04-05T10:04:38Z2019-04-05T10:04:38Z2009-06-012019-04-05T10:04:38Z
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.
(c) American Physical Society, 2009 info:eu-repo/semantics/openAccess
Quarks
Nivells d'energia (Mecànica quàntica)
Quarks
Energy levels (Quantum mechanics)
Effective-string-theory constraints on the long-distance behavior of the subleading potentials
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion