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<jats:title>Abstract</jats:title> <jats:p>The productions of $\pi^0$, $\eta$ and $\phi$ in Xe + Xe collisions at $\sqrt{s_\mathrm{NN}}$ = 5.44~TeV are investigated in the framework of perturbative QCD (pQCD) improved parton model at the accuracy of next-to-leading order (NLO). The jet quenching effect is effectively incorporated by the medium-modified fragmentation functions via the higher-twist approach. Predictions of the nuclear modification factors of $\pi^0$, $\eta$ and $\phi$ as functions of the transverse momentum $p_{\rm T}$ are made with the jet transport parameter $\hat{q}_0$ extracted from the available experimental data of the charged hadron provided by ALICE and CMS. The particle ratios $\eta/\pi^0,\ \phi/\pi^0$ as functions of $p_{\rm T}$ in Xe + Xe collisions at $\sqrt{s_\mathrm{NN}}$ = 5.44~TeV, as well as in Pb + Pb collisions at $\sqrt{s_\mathrm{NN}}$ = 5.02~TeV are also presented. The numerical simulations of the scaled ratios of the charged hadron productions in Xe + Xe 5.44~TeV system over that in Pb + Pb 5.02~TeV give a nice description of the CMS data, and the scaled ratios of $\pi^0$, $\eta$ and $\phi$ productions coincide with the curve of charged hadron productions. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>Since both $W$-mass and muon $g-2$ can be affected by the mass splittings among extra Higgs bosons $(H,~A,~H^\pm)$ in a 2HDM, we take a model with $\mu$-$\tau$ LFV interactions to examine the two anomalies reported respectively by CDF II and FNAL. We obtain the following observations: (i) Combined with theoretical constraints, the CDF $W$-mass measurement disfavors $H$ or $A$ to degenerate in mass with $H^\pm$, but allows $H$ and $A$ to degenerate. The mass splitting between $H^\pm$ and $H/A$ is required to be larger than 10 GeV. The $m_{H^\pm}$ and $m_{A}$ are favored to be smaller than 650 GeV for $m_H&lt;120$ GeV, and allowed to have more large values with increasing of $m_H$. (ii) After imposing other relevant experimental constraints, there are parameter spaces that simultaneously satisfy (at $2\sigma$ level) the CDF $W$-mass, the FNAL muon $g-2$ and the data of lepton universality in $\tau$ decays, but the mass splittings among extra Higgs bosons are strictly constrained. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>In this work, we explore the hadronic coupling constants $G_{ZJ/\psi K}$, $G_{Z\eta_c K^*}$, $G_{ZD^* \bar{D}_s}$ of the exotic states $Z_{cs}(3985/4000)$ both in the pictures of the tetraquark states and molecular states with the tentative assignments $J^{PC}=1^{+-}$ based on the rigorous quark-hadron duality. Then we obtain the total widths $\Gamma_{Z_{cs}}^T =15.31\pm 2.06\,\rm{MeV}$ and $\Gamma_{Z_{cs}}^M=83.51\pm21.09\,\rm{MeV}$, which are consistent with the experimental data $13.8^{+8.1}_{-5.2}\pm4.9\,\rm{MeV}$ from the BESIII collaboration and $131 \pm 15 \pm 26\,\rm{MeV}$ from the LHCb collaboration, respectively, and support assigning the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ to be the hidden-charm tetraquark state and molecular state with the $J^{PC}=1^{+-}$, respectively.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>The PandaX-II experiment employed a 580kg liquid xenon detector to search for the interactions between dark matter particles and the target xenon atoms. The accidental coincidences of isolated signals result in a dangerous background which mimic the signature of the dark matter. We performed a detailed study on the accidental coincidence background in PandaX-II, including the possible origin of the isolated signals, the background level and corresponding background suppression method. With a boosted-decision-tree algorithm, the accidental coincidence background is reduced by 70% in the dark matter signal region, thus the sensitivity of dark matter search at PandaX-II is improved. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>We perform the potential analysis for the holographic Schwinger effect in a rotating deformed AdS black-hole background. We calculate the total potential of a quark-antiquark ($Q\bar{Q}$) pair in an external electric field and evaluate the critical electric field from Dirac-Born-Infeld (DBI) action. It is shown that the inclusion of angular velocity decreases the potential barrier thus enhancing the Schwinger effect, opposite to the effect of the confining scale. Moreover, by increasing angular velocity decreases the critical electric field above which the pairs are produced freely without any suppression. Furthermore, we conclude that producing $Q\bar{Q}$ pairs would be easier in rotating medium.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>$R^2$-corrected dark energy (DE) models in $F(R)$ gravity have been widely investigated in recent years, which not only removes the weak singularity potentially present in DE models but also provide us with a unified picture of the cosmic history, including the inflationary and DE epochs. Towards the unified interpretation of dynamical DE all over the cosmic history in the class of $R^2$-corrected DE models, we explore the universal features of the scalaron dynamics in the radiation-dominated epoch, along with the chameleon mechanism, by keeping our eyes on the inflationary and DE epochs. We show that the scalaron evolution does not follow a surfing solution and is mostly adiabatic before big bang nucleosynthesis (BBN), even properly including the kick by the nonperturbative QCD phase transition, hence a catastrophic consequence claimed in the literature is not applied to this class of DE models. This is due to the presence of the gigantic scale hierarchy between $R^2$ correction and DE, so is the universal feature for the class of $R^2$-corrected DE models. The prospects for the post- or onset-inflationary epoch would be pretty different from what the standard $R^2$ inflationary scenario undergoes due to the presence of the chameleon mechanism.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>In the work we present investigation on decoupling gravitational sources under the framework of $f(R,T)$ gravity. Basically the complete geometric deformation technique has been employed here which facilitates finding exact solutions to the anisotropic astrophysical system smoothly without imposing any particular ansatz for deformation function. Along with this we have also used 5-dimensional Euclidean spacetime in order to describe the embedding Class I spacetime for getting a solvable spherical physical system. The solutions thus obtained show physically interesting as well as viable with new possibilities to sought for. Especially, from the present investigation it is worthy to note that the mixture $f(R,T)$ + CGD translate the scenario beyond the pure GR realm and hence clearly helps to enhance the features of the interior astrophysical aspects of compact stellar objects. Therefore to check the physical acceptability and stability of the stellar system based on the obtained solutions, we have performed a few physical tests which satisfy all the stability criteria, including nonsingular nature of the density as well as pressure.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>We propose and test a new way to estimate model parameters of the phenomenological Bethe-Weizs ̈acker mass formula. Based on the Monte Carlo sampling for a large data set, for the first time, we obtain the Cauchy-type parameter distribution formed by the exact solutions of the linear equation systems. By using the maximum likelihood estimation, the location parameter and the scale parameter are evaluated. The estimated results are compared with those obtained by solving the overdetermined systems, for instance, the solutions of the traditional least-square method. The parameter correlations and uncertainty propagation are briefly discussed. As expected, it is also found that the improvement of theoretical modeling (e.g., considering the microscopic corrections) will decrease the parameter and propagating uncertainties.</jats:p>

<jats:title>Abstract</jats:title> <jats:p>By analyzing existing data on pseudoscalar charmonium decays, we obtain the ratio of the branching fractions of <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c(2S) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M1.jpg" xlink:type="simple" /> </jats:inline-formula> and <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M2.jpg" xlink:type="simple" /> </jats:inline-formula> decays into ten different final states with light hadrons. For the first time, we test the two existing theoretical predictions of these decays and find that the experimental data are significantly different from both of them. The lack of observation of any decay mode with higher rate in <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c(2S) $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M3.jpg" xlink:type="simple" /> </jats:inline-formula> than in <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M4.jpg" xlink:type="simple" /> </jats:inline-formula> decays suggests very unusual decay dynamics in pseudoscalar charmonium decays to be identified. We also report the first model-independent evaluation of the partial width of <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c(2S)\to \gamma\gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M5.jpg" xlink:type="simple" /> </jats:inline-formula> ( <jats:inline-formula> <jats:tex-math><?CDATA $ 2.21_{-0.64}^{+0.88} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M6.jpg" xlink:type="simple" /> </jats:inline-formula> keV) and improve determination of that of <jats:inline-formula> <jats:tex-math><?CDATA $ \eta_c\to \gamma\gamma $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M7.jpg" xlink:type="simple" /> </jats:inline-formula> ( <jats:inline-formula> <jats:tex-math><?CDATA $ 5.43_{-0.38}^{+0.41} $?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_46_7_071001_M8.jpg" xlink:type="simple" /> </jats:inline-formula> keV). The latter shows a tension with the most recent lattice QCD calculation. </jats:p>

<jats:title>Abstract</jats:title> <jats:p>According to gauge/gravity duality, we use an Einstein-Maxwell-dilaton (EMD) model to study the running coupling constant at finite chemical potential and magnetic field. First, we calculate the effect of temperature on the running coupling constant and find the results are qualitatively consistent with lattice guage theory. Subsequently, we calculate the effect of chemical potential and magnetic field on running coupling. It is found that the chemical potential and magnetic field both suppress the running coupling constant. However, the effect of the magnetic field is slightly larger than that of chemical potential for a fixed temperature. Compared with the confinement phase, the magnetic field has a large influence on the running coupling in the deconfinement phase.</jats:p>