Azimuthal-sensitive three-dimensional HBT radius in Au-Au collisions at $E_{beam}=1.23$$A$ GeV by the IQMD model

Abstract

We used an Isospin dependent Quantum Molecular Dynamics (IQMD) model to simulate Au + Au collisions at beam energy $E_{beam}$ = 1.23$A$ GeV, which corresponds to center of mass energy $\sqrt{s_{NN}}=2.4$ GeV. Firstly, we obtained reasonable rapidity and transverse mass spectra of ${\pi }^{-}$ and ${\pi }^{+}$ as well as "apparent" temperature parameters in comparison with the HADES data. Then by calculating three-dimensional Hanbury Brown and Twiss (HBT) radius of same charged pion-pairs, we obtained the square difference of outward radius and sideward radius, i.e. $R_{out}^2-R_{side}^2$, as well as the freeze-out volume ($V_{fo}$), which were basically consistent with the trend of HADES experimental results. The azimuthal dependence of the HBT radii was also calculated by a matrix method, and corrected by the rotation matrix. In addition, the eccentricities of the $xy$- and $zy$- planes of pion-pair emissions were also extracted for different pair transverse momentum and collision centrality, which show that the $xy$-eccentricity increases with pair transverse momentum as well as centrality but not for $zy$-eccentricity, indicating a more asymmetric transverse emission of particle-pairs with higher transverse momentum in off-central collisions.

12 pages, 8 figures

References in corpus (7)

• Glauber Modeling in High Energy Nuclear Collisions
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Initial eccentricity fluctuations and their relation to higher-order flow harmonics
• Constraining the in-medium nucleon-nucleon cross section from the width of nuclear giant dipole resonance
• Clustering structure effect on Hanbury-Brown-Twiss correlation in ${}^{12}$C + ${}^{197}$Au collisions at 200 GeV}
• Nuclear modification factor in intermediate-energy heavy-ion collisions
• Hyperon Dynamics in Heavy-ion Collisions near threshold energy

Cited by in corpus (1)

• Unlocking the initial neutron density distribution from the two-pion HBT correlation function in heavy-ion collisions