The state of art in studying thermodynamic properties of hot and dense nuclear matter is reviewed with the special emphasis on the confinement–deconfinement transition between hadron matter and quark–gluon plasma. The most popular models used for describing deconfinement are analysed, including statistical bootstrap models, pure phase models, the model of clustered quarks, and the string–flip p...

Statistical tools of uncertainty quantification can be used to assess the information content of measured observables with respect to present-day theoretical models, to estimate model errors and thereby improve predictive capability, to extrapolate beyond the regions reached by experiment, and to provide meaningful input to applications and planned measurements. To showcase new opportunities of...

A high-performance Fortran code is developed to calculate the spinand parity-dependent shell model nuclear level densities. The algorithm is based on the extension ofmethods of statistical spectroscopy and implies exact calculation of the first and secondHamiltonianmoments for different configurations at fixed spin and parity. The proton–neutron formalism is used. We have applied the method for...

geometrical structure, nuclear magnetic resonance (n1,1it) chemical shielding tensors, and chemical shiftsof silicon and carbon nucler are investigated for twn infinite size zigzag and armchair single-walled siliconcarbide nanotabes (sicnts). geometrical structures of sients, sit bonds and bond angles of st and cvertices in both zigzag and armchair nanotubes, indicate that bond lengths are appr...

Statistical process control methods for monitoring processes with univariate ormultivariate measurements are used widely when the quality variables fit to known probabilitydistributions. Some processes, however, are better characterized by a profile or a function of qualityvariables. For each profile, it is assumed that a collection of data on the response variable along withthe values of the c...

A method for calculating the nuclear magnetic shielding constant of atoms in solution is proposed based on the ab initio electronic structure theory combined with the extended reference interaction site model in statistical mechanics for molecular liquids. The method is applied to a water molecule solvated in water, acetone, chloroform, and carbon tetrachloride. The results for solvation effect...

By using a machine learning algorithm, we present an improved nuclear mass table with root mean square deviation of less than 200 keV. The model is equipped statistical error bars in order to compare available experimental data. We use the resulting predict composition outer crust neutron star. means simple Monte Carlo methods, propagate uncertainties equation state system.