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The extended Gutzwiller trajectory approach is presented for the semiclassical description of nuclear collective dynamics, in line with the main topics of the fruitful activity of V.G. Solovjov. Within the Fermi-liquid droplet model, the…

Nuclear Theory · Physics 2017-05-24 A. G. Magner , D. V. Gorpinchenko , J. Bartel

The moment of inertia for nuclear collective rotations was derived within the semiclassical approach based on the cranking model and the Strutinsky shell-correction method by using the non-perturbative periodic-orbit theory in the phase…

Nuclear Theory · Physics 2014-11-25 D. V. Gorpinchenko , A. G. Magner , J. Bartel , J. P. Blocki

The moment of inertia for nuclear collective rotations is derived within a semiclassical approach based on the Inglis cranking and Strutinsky shell-correction methods, improved by surface corrections within the nonperturbative…

Nuclear Theory · Physics 2019-05-16 D. V. Gorpinchenko , A. G. Magner , J. Bartel , J. P. Blocki

A semiclassical model based on the solution of the Vlasov equation for finite systems with a sharp moving surface has been used to study the isoscalar quadrupole and octupole collective modes in heavy spherical nuclei. Within this model, a…

Nuclear Theory · Physics 2017-08-23 V. I. Abrosimov , A. Dellafiore , F. Matera

The nuclear collective excitations are studied within Landau Fermi liquid theory. By using the nucleon-nucleon interaction of the linear sigma-omega model, the nuclear collective excitation energies of different values of $l$ are obtained,…

Nuclear Theory · Physics 2010-03-09 Bao-Xi Sun

A semiclassical linear response theory based on the Vlasov equation is reviewed. The approach discussed here differs from the classical one of Vlasov and Landau for the fact that the finite size of the system is explicitly taken into…

Nuclear Theory · Physics 2007-05-23 V. I. Abrosimov , A. Dellafiore , F. Matera

The periodic-orbit theory based on the improved stationary-phase method within the phase-space path integral approach is presented for the semiclassical description of the nuclear shell structure, concerning the main topics of the fruitful…

Nuclear Theory · Physics 2017-03-08 A. G. Magner , M. V. Koliesnik , K. Arita

Semi-holographic models of non-Fermi liquids have been shown to have generically stable generalised quasi-particles on the Fermi surface. Although these excitations are broad and exhibit particle-hole asymmetry, they were argued to be…

High Energy Physics - Theory · Physics 2017-12-05 Benoit Doucot , Christian Ecker , Ayan Mukhopadhyay , Giuseppe Policastro

We investigate the particle and kinetic-energy densities for a system of $N$ fermions bound in a local (mean-field) potential $V(\bfr)$. We generalize a recently developed semiclassical theory [J. Roccia and M. Brack, Phys. Rev.\ Lett. {\bf…

Mathematical Physics · Physics 2015-05-14 J. Roccia , M. Brack , A. Koch

A semiclassical theory of linear response in finite Fermi systems, based on the Vlasov equation, and its applications to the study of isoscalar vibrations in heavy nuclei are reviewed. It is argued that the Vlasov equation can be used to…

Nuclear Theory · Physics 2007-05-23 V. I. Abrosimov , A. Dellafiore , F. Matera

The concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states,…

Strongly Correlated Electrons · Physics 2021-05-21 D. Valentinis

The validity of small damping approximation (SDA) for the quasi-classical description of the averaged properties of nuclei at high temperatures is studied within the framework of collisional kinetic theory. The isoscalar collective…

Nuclear Theory · Physics 2008-11-13 V. M. Kolomietz , S. V. Lukyanov , S. Shlomo

Shell corrections to the moment of inertia (MI) are calculated for a Woods-Saxon potential of spheroidal shape and at different deformations. This model potential is chosen to have a large depth and a small surface diffuseness which makes…

Nuclear Theory · Physics 2021-02-24 D. V. Gorpinchenko , A. G. Magner , J. Bartel

We discuss a fully relativistic Landau Fermi liquid theory based on the Quantum Hadro-Dynamics ($QHD$) effective field picture of Nuclear Matter ({\it NM}). From the linearized kinetic equations we get the dispersion relations of the…

Nuclear Theory · Physics 2016-09-08 V. Greco , M. Colonna , M. Di Toro , F. Matera

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

We address the intervention of classical-like behavior, well documented in experimental studies of strongly correlated electron systems of solids that emerges at temperatures $T$ far below the Debye temperature $T_D$. We attribute this…

Strongly Correlated Electrons · Physics 2020-11-25 V. A. Khodel , J. W. Clark , M. V. Zverev

A mechanism is proposed for initial stage of instability development that can induce the fragmentation of nuclear matter, arising as a result of collisions of non-relativistic heavy nuclei. Collision of heavy nuclei is simulated as a…

Statistical Mechanics · Physics 2007-05-23 A. P. Ivashin , S. V. Peletminskii , Yu. V. Slyusarenko

A system of interacting, identical fermions described by standard Landau Fermi-liquid (FL) theory can experience a rearrangement of its Fermi surface if the correlations grow sufficiently strong, as occurs at a quantum critical point where…

Strongly Correlated Electrons · Physics 2015-06-04 J. W. Clark , M. V. Zverev , V. A. Khodel

We review recent results concerning collective excitations in neutron-rich systems and reactions between charge asymmetric systems at Fermi energies. Solving numerically self-consistent transport equations for neutrons and protons with…

Nuclear Theory · Physics 2015-06-11 M. Colonna , V. Baran , M. Di Toro , B. Frecus , Y. X. Zhang

The kinetic theory of the Fermi liquid is applied to finite nuclei. The nuclear collective motion is treated in terms of the observable variables: particle density, current density, pressure etc. The nuclear dynamics is influenced strongly…

Nuclear Theory · Physics 2007-05-23 V. M. Kolomietz
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