The model-QED-operator approach [V. M. Shabaev, I. Tupitsyn, and V. A. Yerokhin, Phys. Rev. A 88, 012513 (2013)] to calculations of the radiative corrections binding transition energies in atomic systems is extended range nuclear charges $110\ensuremath{\leqslant}Z\ensuremath{\leqslant}170$. self-energy part model operator represented by a nonlocal potential based on diagonal off-diagonal matri...

We consider a particular class of threshold corrections to Yukawa couplings and mass relations in the MSSM and supersymmetric grand unified models. We give a complete treatment of Yukawa coupling thresholds at the unification scale MGUT and the effective supersymmetry scale MSUSY and apply them to corrections to the tree-level prediction yb(MGUT ) = yτ (MGUT ) in minimal supersymmetric SU(5). W...

Mass values contribute to a number of physical models: these range from masses of exotic short-lived nuclides being important for weak interaction studies and the Standard Model of particle physics, to stable masses as means for the definition of fundamental constants [1]. Since the discovery of the superheavy elements from to , the investigations in their masses have become more and more impor...

The nuclear level densities and level-density parameters in fissioning nuclei at their saddle points of fission barriers, ${a}_{f}$, as well those for neutron, ${a}_{n}$, proton, ${a}_{p}$, $\ensuremath{\alpha}$-particle, ${a}_{\ensuremath{\alpha}}$, emission residues the ground states are calculated isotopic chains superheavy with $Z$ = 112--120. calculations performed superfluid formalism usi...

In case of rare decay events the lifetime or width is evaluated with low statistics. The uncertainty has to be carefully evaluated. this article, we propose a Bayesian analysis and derive simple formulas for their assigned values limits credible interval. results are applied superheavy nuclei as an illustration.