Squeezed back-to-back correlation between bosons and antibosons with different in-medium masses in high-energy heavy-ion collisions

We derive the formulas of the squeezed back-to-back correlation (SBBC) between a boson and antiboson with different in-medium masses in high-energy heavy-ion collisions. The influence of the in-medium mass difference between a boson and antiboson on the SBBC is investigated. We calculate the SBBC functions of $D$-meson pairs for the hydrodynamic sources described by the vish2+1 code for Au+Au collisions at $\sqrt{s_{NN}}=200\mathrm{GeV}$. Our results indicate that the SBBC strengths of $D^{+}{D}^{-}$ and $D^0{\overline{D}}^0$ are different if there are charge-dependent in-medium interactions.

Figure 1

$B\left(\mathbf{p}\right)$ as functions of mass shift $\mathrm{\Delta }{m}_1=(m^{\prime }-m_0)$ for $D^{+}{D}^{-}$ pairs with momenta 0.8 and $1.2\mathrm{GeV}/c$ and the splits ${\delta }^{\prime }=0$ and 60 MeV (solid and dashed lines).

Figure 2

$B\left(\mathbf{p}\right)$ as functions of ${\delta }^{\prime }$ for $D^{+}{D}^{-}$ pairs with momenta 0.8 and $1.2\mathrm{GeV}/c$ and $\mathrm{\Delta }{m}_1=-3$ and $-5\mathrm{MeV}/c$.

Figure 3

SBBC functions of $D$-meson pairs for the Gaussian source as in Figs. 1 and 2 and with $R=3$ fm.

Figure 4

SBBC functions of $D$-meson pairs for viscous hydrodynamic sources for $\sqrt{s_{NN}}=200$ GeV Au+Au collisions with 0%–80% centrality.

Figure 5

Same as Fig. 4, but with 40%–80% centrality.