Strong decays of the fully-charm tetraquark states with explicit P-waves via the QCD sum rules

TL;DR

This paper investigates the decay widths of fully-charm tetraquark states with explicit P-waves using QCD sum rules, providing theoretical predictions that can be tested in future experiments.

Contribution

It introduces a P-wave construction for vector doubly-charm diquarks and analyzes decay widths of fully-charm tetraquarks with specific quantum numbers using QCD sum rules, offering new insights into their nature.

Findings

Total width of the ground state scalar tetraquark matches X(6552) within uncertainties.

Branching ratios differ significantly from the first radial excitation.

Predictions can be tested in future experimental studies.

Abstract

We introduce a relative P-wave to construct the vector doubly-charm diquark $(\widetilde{V})$, therefore, the scalar and tensor four-quark currents to investigate the decay widths of the fully-charm tetraquark states with the $J^{PC}=0^{++}$, $1^{+-}$ and $2^{++}$ via the QCD sum rules. We observe that the total width of the ground state $\widetilde{V}\overline{\widetilde{V}}$-type scalar tetraquark state is compatible with that of the $X(6552)$ within the uncertainties, and the branching ratios are quite different from that of the first radial excitation of the $A\bar{A}$-type scalar tetraquark state. Other predictions can be verified in the future experiments to shed light on the nature of the fully-charm tetraquark states.