The Vector and Axial-Vector Charmonium-like States

TL;DR

This paper systematically constructs tetraquark currents to study charmonium-like states using QCD sum rules, estimating their masses and suggesting possible interpretations and decay modes for experimental searches.

Contribution

It introduces a comprehensive method for constructing tetraquark currents with specific quantum numbers and applies QCD sum rules to estimate masses of charmonium-like states, including potential explanations for Y(4660).

Findings

Mass of $1^{--}$ $qc\bar q\bar c$ state around 4.6-4.7 GeV

Mass of $1^{++}$ and $sc\bar s\bar c$ states around 4.0-4.2 GeV

Estimated mass of $1^{-+}$ $qc\bar q\bar c$ state around 4.5-4.7 GeV

Abstract

After constructing all the tetraquark interpolating currents with $J^{PC}=1^{-+}, 1^{--}, 1^{++}$ and $1^{+-}$ in a systematic way, we investigate the two-point correlation functions to extract the masses of the charmonium-like states with QCD sum rule. For the $1^{--}$ $qc\bar q\bar c$ charmonium-like state, $m_X=4.6\sim4.7$ GeV, which implies a possible tetraquark interpretation for the state Y(4660). The masses for both the $1^{++}$ $qc\bar q\bar c$ and $sc\bar s\bar c$ charmonium-like states are around $4.0\sim 4.2$ GeV, which are slightly above the mass of X(3872). For the $1^{-+}$ $qc\bar q\bar c$ charmonium-like state, the extracted mass is $4.5\sim 4.7$ GeV. We also discuss the possible decay modes and experimental search of the $1^{-+}$ charmonium-like states.