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We apply the coupled-channel Gamow shell model to calculate the spectra of 17O and 17F, as well as 16O(p,p) elastic cross sections at low energies. It is shown that continuum coupling is necessary to account for the particle-emission width of the unbound eigenstates of 17O and 17F. The low-lying spectrum of 17O and 17F and 16O(p,p) excitations functions are in fair agreement with experimental data. Nevertheless, it is also shown that the use of a realistic nuclear Hamiltonian is needed to have an optimal reproduction of 16O(p,p) elastic cross sections in the low-energy region.

We review our recent studies on chiral crossover and chiral phase transition temperatures in this proceedings. We will firstly present a lattice QCD based determination of the chiral crossover transition temperature at zero and nonzero baryon chemical potential \begin{document}$\mu_{\rm{B}}$\end{document} which is \begin{document}$T_{\rm{pc}}\!=\!(156.5\pm1.5)$\end{document} MeV. At nonzero temperature the curvatures of the chiral crossover transition line are \begin{document}$\kappa^{\rm{B}}_2$\end{document}=0.012(4) and \begin{document}$\kappa^{\rm{B}}_4$\end{document}=0.000(4) for the 2nd and 4th order of \begin{document}$\mu_{\rm{B}}/T$\end{document}. We will then present a first determination of chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature \begin{document}$T_{\rm{c}}^0\!=\!132^{+3}_{-6}$\end{document} MeV.

The spectrum of hadrons is important for understanding the confinement of quantum chromodynamics. Many new puzzles arose since 2003 due to the abundance of experimental discoveries with the \begin{document}$XYZ$\end{document} structures in the heavy quarkonium mass region being the outstanding examples. Hadronic resonances correspond to poles of the \begin{document}$S$\end{document}-matrix, which has other types of singularities such as the triangle singularity due to the simultaneous on-shellness of three intermediate particles. Here we briefly discuss a few possible manifestations of triangle singularities in the \begin{document}$XYZ$\end{document} physics, paying particular attention to the formalism that can be used to analyze the data for charged \begin{document}$Z_c$\end{document} structures in the \begin{document}$\psi\pi$\end{document} distributions of the reaction \begin{document}$e^+e^-\to \psi\pi^+\pi^-$\end{document}.

We provide a short review on some recent developments in the soft and hard probes of quark-gluon plasma(QGP) in high-energy nuclear collisions. The main focus is on the theoretical and phenomenological studies of anisotropic collective flow and jet quenching related to the Relativistic Heavy-Ion Collider(RHIC) and the Large Hadron Collider(LHC). The origin of the collectivity in small collision systems is also briefly discussed. For soft probes, we discuss initial-state fluctuations and geometric anisotropy, the hydrodynamic evolution of the fireball, and final-state anisotropic flows, flow fluctuations, correlations and longitudinal decorrelations. Systematic comparison to experimental data may infer the evolution dynamics and various transport properties of the QGP produced in heavy-ion collisions. For hard probes, we focus on the flavor dependence of parton energy loss and jet quenching, the hadronization of heavy quarks in QGP, full jet evolution in nuclear medium and medium response. Detailed analysis of related observables can help us achieve more comprehensive understanding of jet-medium interaction and heavy flavor production in relativistic nuclear collisions. For small systems, we discuss how initial-state and final-state effects explain the observed collective flows of light and heavy flavor hadrons in proton-nucleus collisions, which is helpful in understanding the origin of the collectivity in large collision systems.

We have studied the relativistic Kelvin circulation theorem for ideal Magnetohydrodynamics. The relativistic Kelvin circulation theorem is a conservation equation for the called T-vorticity, We have briefly reviewed the ideal magnetohydrodynamics in relativistic heavy ion collisions. The highlight of this work is that we have obtained the general expression of relativistic Kelvin circulation theorem for ideal Magnetohydrodynamics. We have also applied the analytic solutions of ideal magnetohydrodynamics in Bjorken flow to check our results. Our main results can also be implemented to relativistic magnetohydrodynamics in relativistic heavy ion collisions.

Heavy quarks (charm and beauty), especially beauty, with expectedly different properties from light quarks are considered as ideal probes for the Quark-Gluon Plasma (QGP). However, there are few measurements on beauty hadrons or on their decay leptons. With the most recent measurements on charmed hadrons and heavy flavor decay electrons (HFE) at mid-rapidity in Au+Au collisions at \begin{document}$\sqrt{s_{\rm NN}}=200\;{\rm{GeV}}$\end{document} at RHIC, a data-driven method is developed to separate charm and beauty components from the HFE measurements. From charmed hadron measurements, electrons from charm decays via semileptonic decay simulations are obtained, with which the beauty component can be extracted from the HFE spectrum. As preliminary results, the \begin{document}$p^{}_{\rm T}$\end{document} spectra, \begin{document}$R_{\rm AA}$\end{document} and \begin{document}$v_2$\end{document} distributions of electrons from charm and from beauty decays (\begin{document}$R_{\rm AA}^{\rm c\rightarrow e}$\end{document} and \begin{document}$v_2^{\rm c\rightarrow e}$\end{document}, \begin{document}$R_{\rm AA}^{\rm b\rightarrow e}$\end{document} and \begin{document}$v_2^{\rm b\rightarrow e}$\end{document}) in minimum bias Au+Au collisions are presented, respectively. Less suppression of \begin{document}$R_{\rm AA}^{\rm b\rightarrow e}$\end{document} is observed compared with that of \begin{document}$R_{\rm AA}^{\rm c\rightarrow e}$\end{document} at moderate-to-high \begin{document}$p_{\rm T}$\end{document}, and \begin{document}$v_2^{\rm b\rightarrow e}$\end{document} shows smaller than \begin{document}$v_2^{\rm c\rightarrow e}$\end{document} at low-to-moderate \begin{document}$p_{\rm T}$\end{document}.