6533b83afe1ef96bd12a7b37

RESEARCH PRODUCT

Effect of relativistic kinematics on the stability of multiquarks

A. ValcarceJavier VijandeJean-marc Richard

subject

QuarkParticle physicsMesonBinding energyNuclear TheoryFOS: Physical scienceseffect: relativisticKinetic energymeson01 natural sciencesHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesheavy quarkStrong Interactions010306 general physicscorrection: relativisticPhysicsenergy: kinetic010308 nuclear & particles physicsBINDING-ENERGYquark model: nonrelativisticHigh Energy Physics::Phenomenologyenergy: operatortetraquarkbinding energyEnergy operatorBaryonbaryonquark: massHigh Energy Physics - Phenomenologykinematics: relativisticmultiquark: stability[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]TetraquarkHigh Energy Physics::ExperimentRelativistic quantum chemistry

description

We discuss whether the bound nature of multiquark states in quark models could benefit from relativistic effects on the kinetic energy operator. For mesons and baryons, relativistic corrections to the kinetic energy lead to lower energies, and thus call for a retuning of the parameters of the model. For multiquark states, as well as their respective thresholds, a comparison is made of the results obtained with non-relativistic and relativistic kinetic energy. It is found that the binding energy is lower in the relativistic case. In particular, $QQ\bar q\bar q$ tetraquarks with double heavy flavor become stable for a larger ratio of the heavy to light quark masses; and the all-heavy tetraquarks $QQ\bar Q\bar Q$ that are not stable in standard non-relativistic quark models remain unstable when a relativistic form of kinetic energy is adopted

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