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

Abstract

We calculate the spectroscopic parameters of resonance X(4630) observed in the process \(B^{+}\rightarrow J/\Psi \phi K^{+}\) 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 \(T\ne 0\). 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 \(T\rightarrow 0\), 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.