Analysis of the resonance X(4630) at non-zero temperature

TL;DR

This paper uses thermal QCD sum rules to analyze the properties of the resonance X(4630) at non-zero temperature, finding temperature-dependent decreases in its mass and decay constant consistent with experimental data.

Contribution

It provides the first thermal QCD sum rule calculation of X(4630)'s spectroscopic parameters at finite temperature, including non-perturbative effects up to sixth operator dimension.

Findings

Mass and decay constant decrease near deconfinement temperature

Results agree with LHCb experimental measurements at zero temperature

Demonstrates temperature effects on exotic resonance properties

Abstract

We calculate the spectroscopic parameters of resonance $X(4630)$ observed in the process $B^{+}\rightarrow J/\Psi \phi K^{+}$ by at the LHCb experiments at CERN by means of thermal QCD sum rule method at non-zero temperature. The exotic vector $X(4630)$ is assigned as the diquark-antidiquark state $[cs][\overline{cs}]$ with spin-parity $J^{PC}=1^{-+}$. Employing the two-point QCD sum rule approach up to the sixth order of the operator dimension by including non-perturbative contribution, we calculate the mass and decay constant of $X(4630)$ at $T\neq0$. The numerical analyses demonstrate that the values of the mass and decay constant of $X(4630)$ near the deconfinement temperature decrease up to $9.8\%$ and $60\%$ of their vacuum values. At $T\rightarrow0$, the obtained results for the mass $m_{X(4630)}=(4649\pm40)$ MeV and decay constant $\lambda_{X(4630)}=(10.07\pm0.8)\times10^{-3} $ MeV are in excellent agreement with the results reported by LHCb experiments and other theoretical predictions.