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

Abstract

We calculate the spectroscopic parameters of resonance $X(4630)$ observed in the process $B^{+}\to J/\Psi \varphi K^{+}$ 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 $T\ne 0$. 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 $T\to 0$, the obtained results for the mass $m_{X(4630)}=(4649\pm 40)$ MeV and decay constant ${\lambda }_{X(4630)}=(10.07\pm 0.8)\times 10^{-3}$ MeV are in excellent agreement with the results reported by LHCb experiments and other theoretical predictions.

9 pages, 5 figures