Quark gluon coupling and entanglement in confinement

Weakly-interacting massive particles (WIMPs) with masses around the electroweak scale

are popular candidates to explain the observed dark matter (DM) relic density they appear quite naturally in several popular extensions of the Standard Model (SM) which try to address the hierarchy problem]. Phenomenological studies of flow observables have been a precision tool to elucidate the QCD phase structure, the equation of state of hot and dense nuclear matter, the QGP viscosity, conserved charge diffusion, and event-by-event quantum fluctuations in heavy-ion collisions Hydrodynamics has been used in scales varying from the smallest in under-standing quantum chromodynamics (QCD) at high energies, to condensed matter systems and to the largest in cosmological applications. Color entanglement has been argued to break transverse momentum dependent QCD factorization in the production of hadrons with high transverse momentum (anda transverse momentum imbalance) in proton-proton colliisions. It has also been proposed that colored quarks and gluons in the wave function of the proton are entangled . A phenomenological model is proposed which considers confinement of quark gluon entanglement based on string model.