Squeezed correlations of $\varphi$ meson pairs for hydrodynamic sources in high-energy heavy-ion collisions

Abstract

In the hot and dense hadronic sources formed in high-energy heavy-ion collisions, the particle interactions in medium might lead to a squeezed back-to-back correlation (BBC) of boson-antiboson pairs. We calculate the BBC functions of $\varphi \varphi$ for sources evolving hydrodynamically in ($2+1$) dimensions and with longitudinal boost invariance. The BBC functions for hydrodynamic sources exhibit oscillations as a function of the particle momentum because the temporal distributions of hydrodynamic sources have sharp falls to 0 at large evolving times. The dependences of the BBC functions on the directions of the particle momentum are investigated. For transverse anisotropic sources, the BBC functions are minimum when the azimuthal angles of the particles reach 0. The BBC functions increase with decreasing absolute value of the particle pseudorapidity. The oscillations and the dependences on the particle azimuthal angle and pseudorapidity are the significant signatures for detecting the BBC in high-energy heavy-ion collisions.

17 pages, 10 figures

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Cited by in corpus (7)

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• Squeezed back-to-back correlation of $\bqD^0{\bar \bqD}^0$ in relativistic heavy-ion collisions
• Effect of in-medium mass-shift on transverse-momentum spectrum and elliptic anisotropy of $\varphi$ meson
• Squeezed spectra of bosons and antibosons with different in-medium masses
• Squeezed back-to-back correlations of bosons with nonzero widths in relativistic heavy-ion collisions
• Squeezed back-to-back correlations of $K^{+}$$K^{-}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV and Au+Au collisions at $\sqrt{s_{NN}}=62.4$ GeV