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Temperature Effects on a Vector Hidden-Charm Molecule

E. Güngör, H. Sundu, J. Y. Süngü, E. Veli Veliev

Abstract

We investigate the thermal properties of the $Y(4500)$ state within the framework of thermal QCD sum rules, assuming a $D_s \bar{D}_{s1}$ molecular configuration with $J^{PC}=1^{--}$. The analysis is performed at both zero and finite temperatures, employing the operator product expansion up to dimension-5 condensates. The Borel window and continuum threshold are carefully selected to ensure OPE convergence and pole dominance. As the temperature approaches the deconfinement temperature $T_c$, the $Y(4500)$ undergoes significant medium modifications: its mass decreases by $29\%$ and its decay constant is suppressed by $94\%$ relative to their vacuum values, while the decay width increases by $35\%$, signaling the dissociation of the state in the medium. These results indicate that the $Y(4500)$ becomes unstable near $T_c \approx 155~\mathrm{MeV}$, consistent with its melting into the quark-gluon plasma. The obtained thermal spectral parameters may serve as signatures for identifying the $Y(4500)$ in heavy-ion experiments at RHIC and LHC, and provide predictions for sequential suppression patterns in the exotic hadron sector.

Temperature Effects on a Vector Hidden-Charm Molecule

Abstract

We investigate the thermal properties of the state within the framework of thermal QCD sum rules, assuming a molecular configuration with . The analysis is performed at both zero and finite temperatures, employing the operator product expansion up to dimension-5 condensates. The Borel window and continuum threshold are carefully selected to ensure OPE convergence and pole dominance. As the temperature approaches the deconfinement temperature , the undergoes significant medium modifications: its mass decreases by and its decay constant is suppressed by relative to their vacuum values, while the decay width increases by , signaling the dissociation of the state in the medium. These results indicate that the becomes unstable near , consistent with its melting into the quark-gluon plasma. The obtained thermal spectral parameters may serve as signatures for identifying the in heavy-ion experiments at RHIC and LHC, and provide predictions for sequential suppression patterns in the exotic hadron sector.

Paper Structure

This paper contains 15 sections, 24 equations, 4 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Analytical Framework
  3. Current and Correlation Function
  4. Hadronic (Physical) Representation
  5. QCD (Theoretical) Representation
  6. Borel Transformation and Sum Rules
  7. Quantitative Findings and Interpretation
  8. Final Remarks and Discussion
  9. Summary of Key Findings
  10. Physical Interpretation
  11. Experimental Signatures and Predictions
  12. Comparison with Other Exotic States
  13. Uncertainties and Limitations
  14. Future Directions
  15. Concluding Remarks

Figures (4)

  • Figure 1: Schematic representation of the $Y(4500)$ state as a $D_s\bar{D}_{s1}$ molecular configuration.
  • Figure 2: Temperature evolution of the normalized decay constant $f_Y(T)/f_Y(0)$ extracted from the finite-width Breit-Wigner analysis.
  • Figure 3: Temperature dependence of the mass $m_Y(T)/m_Y(0)$ obtained using the finite-width Breit-Wigner formalism.
  • Figure 4: Temperature evolution of the decay width $\Gamma_Y(T)/\Gamma_Y(0)$ for the $Y(4500)$ state obtained from the finite-width Breit-Wigner analysis.