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Description
Previous efforts on the extraction of jet quenching parameter $\hat{q}$ were mainly focused on the production suppression of $\pi^0$. However, we have achieved some understanding of the production suppression patterns of different mesons by conducting $R_{\rm AA}$ and particle ratios calculations and analysis for $\pi^0$, $\eta$, $\rho^0$ and $\phi$.
In this work, we pave the way to further calculate the productions of $\omega$ meson and $K^0_{short}$ meson both in p+p and A+A collisions at the RHIC and the LHC. The same broken SU(3) model to give the initial scale fragmentation functions (FFs) as $\rho^0$ and $\phi$ has been employed to have the DGLAP evolved FFs for $\omega$ meson. The $K^0_{short}$ FFs in the vacuum are taken from AKK08 parameterization directly. And we make good p+p descriptions with the experimental data for them in the calculation framework of the NLO pQCD improved parton model at both the RHIC and the LHC. With the same higher-twist approach to take into account the jet quenching effect by medium modified FFs, underestimation of the nuclear modification factors has been observed for $\omega$ meson and $K^0_{short}$ meson at the RHIC as it is the first theoretical calculation has been presented. We provide predictions of $R_{\rm AA}$ of $\omega$ meson at the LHC, at the same time the $K_{short}$'s result has met the limited ALICE data at the lower $p_T$ region. The particle ratio has also been investigated. The calculation of $\omega/\pi^0$ ratio at the RHIC meet the PHENIX data, while the LHC results have been predicted. The ratio of $K^0_{short}/\pi^0$ has been firstly calculated at both the RHIC and the LHC compared with the rather limited data points at lower $p_T$ regions. In the second part of our work, we re-extract the $\hat{q}$ by fitting the theoretical results of all 6 identified mesons' $R_{\rm AA}$ at hand with the available experimental data both in the RHIC and the LHC. Therefore the constraint to the $\hat{q}$ by different final state hadrons has been performed.
