Abstract
We calculate the squeezed back-to-back correlation (BBC) functions of $\phi \phi$ and $K^+K^-$ for heavy-ion collisions at RHIC and LHC energies, using ($2+1$)-dimensional hydrodynamics with fluctuating initial conditions. The BBC functions averaged over event-by-event calculations for many events for the hydrodynamic sources are smoothed as a function of the particle momentum. For heavy-ion collisions of Au+Au at $\sqrt{s_{NN}}=200$ GeV, the BBC functions are larger than those for collisions of Pb+Pb at $\sqrt{s_{NN}}=2.76$ TeV. The BBC of $\phi\phi$ may possibly be observed in peripheral collisions at the RHIC and LHC energies. It is large for the smaller sources of Cu+Cu collisions at $\sqrt{s_{NN}}=200$ GeV.
Highlights
In the late 1990s, it was shown [1,2] that the mass modification of the particles in the hot and dense hadronic sources can lead to a squeezed back-to-back correlation (BBC) of boson–antiboson pairs in high-energy heavy-ion collisions
We investigate the BBC functions for the hydrodynamic sources with event-by-event fluctuating initial conditions (FIC)
In the hot and dense hadronic sources formed in high-energy heavy-ion collisions, the particle interactions in medium might lead to a squeezed BBC of boson–antiboson pairs
Summary
In the late 1990s, it was shown [1,2] that the mass modification of the particles in the hot and dense hadronic sources can lead to a squeezed back-to-back correlation (BBC) of boson–antiboson pairs in high-energy heavy-ion collisions. Because we use the same freeze-out temperature for the φ meson in the calculations for the collisions with different centralities and energies, the main reason of the dependences of the φ BBC function on the collision centrality and energy (see Fig. 4 for fixed k and m∗) is that the temporal distribution of the source is narrower in peripheral collisions and becomes wider with increasing collision energy (see Fig. 1).
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