Production of the (anti)hypertriton nuclei ${}_{\mathrm{\Lambda }}{}^3\mathrm{H}$ and ${}_{\overline{\mathrm{\Lambda }}}{}^3\overline{\mathrm{H}}$ in Cu+Cu interactions at $\sqrt{s_{NN}}=200$ GeV is studied in three centrality bins of 0–10%, 10–30%, and 30–60% using the dynamically constrained phase-space coalescence model together with paciae model simulations. They are compared with ${}^3\mathrm{H}\left({}^3\overline{\mathrm{H}}\right)$ and ${}^3\mathrm{He}\left({}^3\overline{\mathrm{He}}\right)$ nuclei. It is indicated by the study that the yields of light nuclei and hypernuclei increase rapidly from peripheral to central collisions while their antiparticle-to-particle ratios remain unchanged for different centrality bins. The strangeness population factor $S_3=({}_{\mathrm{\Lambda }}{}^3\mathrm{H}/{}^3\mathrm{He})/(\mathrm{\Lambda }/p)$ was found to be close to unity, and was compatible with the STAR data and theoretical model calculations, suggesting that the phase-space population of strange quarks is similar to the ones of light quarks and the creation of deconfined high-temperature quark matter in Cu+Cu collisions.

Background: Within the quartet condensation model (QCM), the isovector pairing correlations for $N=Z$ nuclei are described with a very high accuracy by a “condensate” of $\alpha$-like quartets. The usual approach involves cumbersome recurrence relations in order to compute numerically the relevant quantities of the model: the norm of the quartet states and the mean value of the isovector pairing Hamiltonian as functions of the pair mixing amplitudes.

Purpose: We present the final analytical expressions for the above-mentioned quantities, for all cases up to four quartets in the valence shell.

Method: The analytical QCM expressions were obtained by a straightforward implementation of the SO(5) algebra in the symbolic computer algebra system cadabra2.

Results: The norm of the quartet states and the mean value of the Hamiltonian are polynomial functions of the mixing amplitudes. The numerical implementation of the QCM model is thus made trivial as a matter of copying and pasting the presented formulas.

Conclusions: We introduce in this work a method of computer-aided analytical calculus for a many-body setting. In particular, we provide precise and easy-to-use tools for the description of isovector pairing correlations.

The $s$-wave photodisintegration cross sections observed just above the neutron breakup threshold energy are calculated for resonant and virtual states by using a complex-scaled two-body model, which simulates the ${}^9\mathrm{Be}$ nucleus with a ${}^8\mathrm{Be}+ns$-wave channel. We investigate the differences between behaviors of the resonance and virtual states in the photodisintegration cross sections near threshold energy in detail. It is shown that, in the present two-body model, resonant states very near the threshold energy produce a peak structure in the photodisintegration cross section that is similar that of the virtual state.

The high-momentum antisymmetrized molecular dynamics (HMAMD) is a promising framework with significant analytical simplicity and efficiency inherited from its antisymmetrized molecular dynamics describing the high-momentum correlations in various nuclear states. With the aim of further improving the numerical efficiency for the description of nucleon-nucleon correlation, we introduce a formulation by including a Gaussian weighted basis of high-momentum pairs in the HMAMD wave function, with which very rapid convergence is obtained in numerical calculation. It is surprising that the very high-momentum components in the HMAMD basis are found to be almost equivalent to the contact representation of the nucleon-nucleon pairs with very small nucleon-nucleon distance. The explicit formulation for the contact term significantly improves the numerical efficiency of the HMAMD method, which shows the importance of the contact correlation in the formulation of light nuclei.

A nonsinglet QCD analysis of neutrino-nucleon structure function is performed based on all the data for charged current neutrino-nucleon deep inelastic scattering (DIS) corresponds to NLO and NNLO approximations, with taking into account the nuclear and higher twist corrections. In this analysis, we extract $x{u}_v(x,Q^2)$ and $x{d}_v(x,Q^2)$ valence parton distribution functions (PDFs) in a wide range of $x$ and $Q^2$, and determine their parametrization with the correlated errors using the xFitter framework. Our results regarding valence-quark densities with their uncertainties are compared to the prediction extracted using other PDF sets from different groups. We determine ${\alpha }_s\left(M_Z^2\right)=0.1199\pm 0.0031$ and $0.1185\pm 0.0023$ with considering the nuclear and higher twist corrections at the NLO and NNLO, respectively, and perform a comparison with other reported results. The extracted results regarding valence-quark distributions and the value of ${\alpha }_s\left(M_Z^2\right)$ are in good agreement with available theoretical models.

I have compared matter radii for nuclei having the same neutron number but differing by one or two in proton number. The ratios reveal features that are less apparent in the actual matter radii.

We investigate the spin and pseudospin symmetry in the single-particle resonant states by solving the Dirac equation containing a Woods-Saxon potential with Green's function method. Taking double-magic nucleus ${}^{208}\mathrm{Pb}$ as an example, three spin doublets $3d, 2h$, and $1j$ and three pseudospin doublets $3\tilde{p}, 1\tilde{i}$, and $1\tilde{j}$ are obtained for the single-neutron resonant states. By analyzing the energy splittings, we find that the threshold effect plays an important role in resonant pseudospin doubles. Besides, there is a reversed level structure of pseudospin doublets in the continuum. Differently, all the width splittings of either the spin doublets or the pseudospin doublets are systematically positive and the splittings are very small except $1\tilde{j}$ doublet. Further studies show that the splittings of the energies and widths for the resonant (pseudo)spin doublets are independent. Besides, the similarity properties of the wave functions of the spin and pseudospin doublets still maintain well in resonant states.

Exploration of reaction dynamics of the weakly bound heavy-ion interaction with an intermediate or heavy mass target in the low energy range has been a subject of interest over the past decades; however, different modes of fusion such as breakup fusion, incomplete fusion, and transfer phenomena observed experimentally are not yet fully understood. Experimental studies are therefore essential to address the problem. In this article, we report a new set of cross-section data of the residues produced in the weakly bound ${}^7\mathrm{Li}$ induced reaction on ${}^{\mathrm{nat}}\mathrm{Ta}$ within the 27–45 MeV energy range. Along with the major yield of ${}^{\text{183g+m}}\mathrm{Os}$, production of ${}^{\text{180m}}\mathrm{Hf}$ and ${}^{183}\mathrm{Ta}$ are also observed up to $\sim 35\mathrm{MeV}$, which is possibly an indication of the incomplete fusion mechanism or breakup-transfer phenomena. The trend of the isomeric cross-section ratio of ${}^{183}\mathrm{Os}$ indicates the role of angular momentum and spin distribution besides the excitation energy, and is interpreted by theory. The optimized production parameters and yields of ${}^{\text{183g,m}}\mathrm{Os}$ are assessed.

In this study, we have considered the contribution of the higher-twist (HT) effects of the subprocesses to inclusive pion pair production cross section in the high energy proton-antiproton collisions by using various pion distribution amplitudes (DAs) within the frozen coupling constant approach and compared them with the leading-twist contributions. The feature of the HT effects may help the theoretical interpretation of the future PANDA experiment. The dependencies of the HT contribution on the transverse momentum $p_T$, the center of mass energy $\sqrt{s}$, and the variable $x_T$ are discussed numerically with special emphasis put on DAs. Moreover, the obtained analytical and numerical results for the differential cross section of the pion pair production are compared with the elastic backward scattering of the pion on the proton. We show that the main contribution to the inclusive cross section comes from the HT direct production process via gluon-gluon fusion. Also, it is strongly dependent on the pion DAs, momentum cut-off parameter $▵p$, and $\langle q_T^2\rangle$ which is the mean square of the intrinsic momentum of either initial parton.

We present our results for a flavor-dependent European Muon Collaboration (EMC) effect based on the nIMParton nuclear parton distribution functions, in which the $x$ dependence is described with a nucleon swelling model. The nuclear correction from nucleon swelling is considered through a modification of the initial valence quark distributions instead of a dynamical rescaling. To probe the flavor dependence of the model, the experimental observables are calculated by applying nIMParton nuclear modifications for various experiments: parity-violating deep inelastic scattering on nuclear target, pion-induced Drell-Yan, and $W$-boson production in proton-nucleus collisions. In addition, we present the expected effect for the spectator-tagged deep inelastic scattering process, which will be performed by the CLAS12 collaboration with the ALERT (shorted for A Low Energy Recoil Tracker) detector.

We apply the basis light front quantization (BLFQ) approach to describe the valence structures of the charged light meson ground states. Specifically, the light front wave functions of ${\pi }^{\pm }$, ${\rho }^{\pm }$, $K^{\pm }$, and $K^{*\pm }$ are obtained as the eigenvectors of the light front effective Hamiltonians with confinement potentials supplemented by the color singlet Nambu–Jona-Lasinio (NJL) interactions. We adjust our model such that the spectrum of these ground states and the charge radii of the pseudoscalar states agree with experimental results. We present the elastic form factors and parton distribution amplitudes (PDAs) as illustrations of the internal structures of the pseudoscalar pions and kaons in terms of valence quarks.

Within a Boltzmann transport model, we demonstrate correlation between stopping observables and shear viscosity in central nuclear collisions at intermediate energies (on the order of 10–1000 MeV/nucleon). The correlation allows us to assess the viscosity of nuclear matter, by tuning the in-medium nucleon-nucleon cross section in our transport model to agree with nuclear stopping data. We also calculate the ratio of shear viscosity to entropy density to determine how close the system is to the universal quantum lower limit proposed in the context of ultrarelativistic heavy-ion collisions.

We present a method to calculate spectroscopic properties of odd-odd nuclei within the framework of the interacting boson-fermion-fermion model (IBFFM) based on the Gogny energy-density functional. The $(\beta ,\gamma )$-deformation energy surface of the even-even (boson-)core nucleus, spherical single-particle energies, and occupation probabilities of the odd neutron and odd proton are provided by the constrained self-consistent mean-field calculation within the Hartree-Fock-Bogoliubov method with the Gogny-D1M functional. These quantities are used as a microscopic input to fix most of the parameters of the IBFFM Hamiltonian. Only a few coupling constants for the boson-fermion Hamiltonian and the residual neutron-proton interaction are specifically adjusted to reproduce experimental low-energy spectra in odd-mass and odd-odd nuclei, respectively. In this way, the number of free parameters involved in the IBFFM framework is reduced significantly. The method is successfully applied to the description of the low-energy spectra and electromagnetic transition rates in the odd-odd ${}^{194,196,198}\mathrm{Au}$ nuclei.

The multinucleon transfer (MNT) reaction has aroused wide interest in recent years largely due to its ability to produce neutron-rich heavy nuclei. The semiclassical model GRAZING can describe well the experimental MNT data for many medium-heavy systems, but only simply considers neutron evaporation in the deexcitation of primary fragments. In order to describe the final MNT products for heavy and even superheavy systems, we try to consider both the transfer and subsequent deexcitation processes by combining, for the first time, the GRAZING model and the statistical-decay model GEMINI as well as the improved version GEMINI++. Considering fission in the deexcitation of primary fragments by GEMINI++ model, the isotope distributions of final fragments are much wider than those only by GRAZING model, indicating an important role of fission in the deexcitation process for heavy and superheavy fragments. However, our results have large deviations from the GRAZING-F results, which may result from the different technique adopted in the deexcitation process. Moreover, it is shown that the GEMINI++ model is more reasonable than the GEMINI model, because the latter overpredicts the fission probability and the width of fission isotope distributions to a large extent. With GEMINI++ model, the predictions of cross sections for final isotopes can be improved by taking into account charged-particle evaporations, especially the $\alpha$ evaporation.

We modify the usual definitions of cumulants of net-charge fluctuations in a way that isolates dynamical fluctuations. The new observables, which we call dynamical cumulants, are robust with respect to trivial correlations induced by volume fluctuations and global charge conservation. We illustrate the potential of dynamical cumulants by carrying out Monte Carlo simulations where all correlations are trivial. The results of our simulations agree well with BNL Relativistic Heavy Ion Collider (RHIC) data, and are used to illustrate that dynamical cumulants consistently isolate dynamical fluctuations.

We investigate the isospin properties of the strange quark matter (SQM) and quark stars (QSs) in the framework of the isospin-dependent confining quark matter (ICQM) model and confined-isospin and density-dependent mass (CIDDM) model. Within these two isospin-dependent quark mass phenomenological models, we study the quark matter symmetry energy, the stability of strange quark matter, the quark fractions, the isospin asymmetry, and the quark mass asymmetry in SQM, and the mass-radius relation of quark stars. We find that including isospin dependence of the quark mass can significantly influence the isospin properties of the quark matter. Recently, the LIGO-Virgo collaboration reported their detection of gravitational wave (GW) signals GW170817, which are originating from a binary compact star merger. Using the ICQM model and CIDDM model, we describe the compact stars with the new maximum mass limits $2.{01}_{-0.04}^{+0.04}\le M/M_{\odot }\le 2.{16}_{-0.15}^{+0.17}$ as quark stars, and the dimensionless tidal deformabilities of QSs are also investigated in this work.