All-charm tetraquark in front form dynamics

Abstract

We study all-charm tetraquarks in the front form of Hamiltonian dynamics using the many-body basis function approach known as basis light-front quantization. The model Hamiltonian contains transverse and longitudinal confining potentials and a one-gluon-exchange effective potential. We calculate masses of two-charm-two-anticharm states focusing on the lowest state. We also calculate two-quark and four-quark estimates of meson-meson breakup threshold. The results suggest that the lowest two-charm-two-anticharm state is not a tightly bound tetraquark. We discuss implications of the cluster decomposition principle for theories formulated on the light front and present our treatment of identical particles together with color-singlet restrictions on the space of quantum states.

35 pages, 2 figures

References in corpus (7)

• Pentaquark and Tetraquark states
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Basis Light-Front Quantization Approach to Positronium
• Effective confining potentials for QCD
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Doubly charmed multibaryon systems