All-charm tetraquark in front form dynamics

TL;DR

This paper investigates all-charm tetraquarks using light-front Hamiltonian dynamics, finding that the lowest such state is likely not a tightly bound tetraquark, with implications for understanding multiquark states.

Contribution

It applies basis light-front quantization to study all-charm tetraquarks, incorporating confining and one-gluon-exchange potentials, and analyzes their binding properties and thresholds.

Findings

Lowest all-charm tetraquark state is not tightly bound

Calculated meson-meson breakup thresholds

Implications for cluster decomposition principle on the light front

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.