Squeezed back-to-back correlations of bosons with nonzero widths in relativistic heavy-ion collisions

Abstract

We derive the formulas for calculating the squeezed back-to-back correlation (SBBC) between a boson and antiboson with nonzero width produced in relativistic heavy-ion collisions. The SBBCs of $D^0$ and $\phi$ mesons with finite in-medium widths are studied. We find that the finite width can change the pattern of the SBBC function of $D^0{\bar D}^0$ with respect to mass. However, the SBBC function of $\phi\phi$ is insensitive to the width. In the high-particle-momentum region, the SBBC function of $\phi\phi$ increases with particle momentum rapidly and can exceed that of $D^0{\bar D}^0$ whether the width is nonzero or not.