We provide accurate assessments of the consequences violations self-consistency in Hartree-Fock-(HF) based random-phase approximation (RPA) calculations centroid energy ${E}_{\mathrm{cen}}$ isoscalar and isovector giant resonances multipolarities $L=0\ensuremath{-}3$ a wide range nuclei. This is done by carrying out highly HF-RPA neglecting particle-hole (p-h) spin-orbit or Coulomb interaction RPA comparing with fully self-consistent results. find that shifts value because violation...

Accurately calibrated effective field theories are used to compute atomic parity non-conserving (APNC) observables. Although accurately calibrated, these predict a large spread in the neutron skin of heavy nuclei. While is strongly correlated number physical observables, this contribution we focus on its impact new physics through APNC The addition an isoscalar-isovector coupling constant Lagrangian generates wide range values for nuclei without compromising success model reproducing well...

Isotopic and isotonic chains of superheavy nuclei are analyzed to search for spherical double shell closures beyond $Z=82$ $N=126$ within the new effective field theory model Furnstahl, Serot, Tang relativistic nuclear many-body problem. We take into account several indicators identify occurrence possible closures, such as two-nucleon separation energies, gaps, average pairing correction energy. The Lagrangian predicts $N=172$ $Z=120$ $N=258$ doubly magic nuclei, whereas $N=184$ $Z=114$ show...

The relativistic Hartree-BCS theory is applied to study the temperature dependence of nuclear shape and pairing gap for ${}^{166}\mathrm{Er}$ ${}^{170}\mathrm{Er}.$ For both nuclei, we find that as increases vanishes leading phase transition from superfluid normal observed in nonrelativistic calculation. deformation evolves prolate shapes spherical at $T\ensuremath{\sim}2.7$ MeV. Comparison our results heat capacity with ones obtained mean field framework indicates occurs a about 0.9 MeV...

The liquid-gas phase transition in infinite asymmetric nuclear matter is studied with the ${\text{SkM}}^{*}$ interaction. In its light, said investigated finite nuclei a heated liquid-drop model where drop assumed to be thermodynamic equilibrium vapor emanated from it. Results for caloric curve, isospin fractionation, heat capacity, and entropy are presented. results of calculations this suggestive continuous transition.

We present results of fully self-consistent Hartree-Fock-based random phase approximation calculations the strength functions $S$($E$) and centroid energies ${E}_{\mathrm{CEN}}$ isoscalar ($T=0$) isovector ($T=1$) giant resonances multipolarities $L=$ 0--3 in ${}^{40}$Ca ${}^{48}$Ca, using a wide range commonly employed 18 Skyrme-type nucleon-nucleon effective interactions. determined sensitivities isotopic differences ${E}_{\mathrm{CEN}}$(${}^{48}$Ca) -- ${E}_{\mathrm{CEN}}$(${}^{40}$Ca) to...

A systematic study of the temperature dependence shapes and pairing gaps some isotopes in rare-earth region is made relativistic Hartree-BCS theory. Thermal response to these nuclei always found lead a phase transition from superfluid normal at ${T}_{\ensuremath{\Delta}}\ensuremath{\sim}0.4--0.8$ MeV shape prolate spherical ${T}_{c}\ensuremath{\sim}1.0--2.5$ MeV. These temperatures are appreciably higher than corresponding ones calculated nonrelativistic framework with plus quadrupole...

Stability of nuclei beyond the drip lines in presence an enveloping gas nucleons and electrons, as prevailing inner crust a neutron star, is studied temperature-dependent Thomas-Fermi framework. A limiting asymmetry isospin space which cannot exist emerges from calculations. The ambient conditions such temperature, baryon density, neutrino concentration under these exotic nuclear systems can be formed are some detail.

The equation of state (EOS) finite nuclei is constructed in the relativistic Thomas-Fermi theory using nonlinear $\ensuremath{\sigma}\ensuremath{-}\ensuremath{\omega}\ensuremath{-}\ensuremath{\rho}$ model. caloric curves are calculated by confining freeze-out volume taken to be a sphere size about 4--8 times normal nuclear volume. results obtained from not significantly different those earlier nonrelativistic framework. nature EOS and peaked structure specific heat ${C}_{v}$ show clear...

Using the density-dependent Hartree-Fock approximation and Skyrme forces together with scaling method constrained calculations, we obtain average energies of isoscalar giant monopole resonance. The calculations are done along several isotopic chains from proton to neutron drip lines. It is found that while approaching line, scaled decrease resonance width increases. Similar but smaller effects arise near although only for lighter chains. A qualitatively good agreement between our sum rule...

We calculate the Coulomb displacement energies (CDEs) of mirror nuclei using recent parameter set (NL3) in relativistic mean-field (RMF) model which includes self-coupling scalar meson. The results obtained are compared with available ones calculated nonrelativistic Skyrme-Hartree-Fock (SHF) approach that have best fit to experimental data. When adjusted reproduce charge root-mean-square (rms) radius ${r}_{c}$ and rms radii valence orbits, RMF for CDEs agree those SHF within...

Approximate solitary solutions of the Korteweg–de Vries–Burgers (KdVB) equations are obtained using a modified homotopy perturbation method (LH). Comparison results LH with those from other available approximate methods indicates that is simple but yields highly accurate and reliable to different forms KdVB equation.

A detailed microscopic study of the temperature dependence shapes some rare-earth nuclei is made in relativistic mean field theory. Analyses thermal evolution single-particle orbitals and their occupancies leading to collapse deformation are presented. The role non-linear $\sigma-$field on shape transition different also investigated; its absence found be sharper.

We consider the effects of ground state long-range correlations (LRC), which can be interpreted as zero-point oscillations (ZPO) collective vibrations, on charge root mean square (rms) radii, rc, nuclei. determine magnitudes contributions ZPO to rc using model transition densities and strengths obtained from fully self-consistent Hartree–Fock (HF)-based random phase approximation (RPA) calculations. find that are significant quite sensitive effective nucleon–nucleon interaction used in also...