X(3872): propagating in a dense medium

Abstract

In cold nuclear matter, the shifts in the mass and current-meson coupling as well the vector self energy of the exotic $X(3872)$ are calculated using the diquark-antidiquark current within the framework of the in-medium two-point QCD sum rule. At the rest frame of the medium, the three momentum of the considered particle is fixed to remove the contributions of the particles with negative energy. In the calculations, we include the in-medium condensates of quark-quark, gluon-gluon and quark-gluon. It is observed that, the shift due to the nuclear matter is negative and is about $25\%$ when the saturation density is used. Such shift is considerably large and comparable with the nucleon' mass shift due to the nuclear medium. The negative shift in the current-meson coupling due to nuclear matter is approximately $10\%$. At the saturation density, the vector self energy of the exotic $X(3872)$ state is found to be ${\Sigma }_{\upsilon }=1.31$ GeV. It is shown that the mass, current-meson coupling and vector self energy of $X(3872)$ strongly depend on the density of cold nuclear matter.

11 Pages, 3 Figures and 1 Table. A typo was corrected

References in corpus (10)

• Can the X(3872) be a 1^{++} four-quark state?
• Different pole structures in line shapes of the $X(3872)$
• Detecting the long-distance structure of the X(3872)
• Four-Quark Condensates in Nucleon QCD Sum Rules
• $X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state
• Analysis of the doubly heavy baryons in the nuclear matter with the QCD sum rules
• Counting states and the Hadron Resonance Gas: Does X(3872) count?
• Study on X(3872) from effective field theory with pion exchange interaction
• Thermal properties of the exotic $X(3872)$ state via QCD sum rule
• A braid model for the particle X(3872)

Cited by in corpus (9)

• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Hadronic molecules in B decays
• $D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• Properties of $Z_c(3900)$ tetraquark in a cold nuclear matter
• Fate of the doubly heavy spin$-3/2$ baryons in a dense medium
• Probing the structure of $X(3872)$ in photoproduction
• Production cross sections of tetraquark states in elementary hadronic collisions
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter