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We explore the stability of isotropic, spherical, self-gravitating systems with a double-power law density profile. Systems with rapid transitions between the inner and outer slopes are shown to have an inflection in their isotropic…

Astrophysics of Galaxies · Physics 2025-06-02 Shashank Dattathri , Frank C. van den Bosch , Martin D. Weinberg , Uddipan Banik

The properties of excited nuclear matter and the quest for a phase transition which is expected to exist in this system are the subject of intensive investigations. High energy nuclear collisions between finite nuclei which lead to matter…

Nuclear Theory · Physics 2009-11-06 J. Richert , P. Wagner

The authors review the evidence for the applicability of random--matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random--matrix…

Nuclear Theory · Physics 2014-11-18 H. A. Weidenmuller , G. E. Mitchell

In the field of Energy Density Functionals (EDF) used in nuclear structure and dynamics, one of the unsolved issues is the stability of the functional. Numerical issues aside, some EDFs are unstable with respect to particular perturbations…

Nuclear Theory · Physics 2015-05-18 M. Kortelainen , T. Lesinski

The relativistic mean-field framework, extended to include correlations related to restoration of broken symmetries and to fluctuations of the quadrupole deformation, is applied to a study of shape transitions in Nd isotopes. It is…

Nuclear Theory · Physics 2009-02-26 T. Niksic , D. Vretenar , G. A. Lalazissis , P. Ring

We present a unified description of dense matter and neutron-star structure based on simple but physically motivated models. Starting from the thermodynamics of degenerate Fermi gases, we construct an equation of state for cold, catalyzed…

Nuclear Theory · Physics 2026-01-28 Elissaios Andronopoulos , Konstantinos N. Gourgouliatos

This work establishes a deep connection between two seemingly distant branches of nuclear physics: nuclear structure and relativistic heavy-ion collisions. At the heart of this connection is the recent discovery made at particle colliders…

Nuclear Theory · Physics 2021-01-05 Giuliano Giacalone

The structure of the light proton and neutron rich nuclei is studied in a microscopic multicluster model using the stochastic variational method. This approach enables us to describe the weakly bound nature of these nuclei in a consistent…

Nuclear Theory · Physics 2009-10-30 K. Varga , Y. Suzuki , K. Arai , Y. Ogawa

We study the flow harmonic distribution in deformed nuclei. To do this, we use the standard Gram-Charlier method to find the higher-order correction to the well-known Bessel-Gaussian distribution. We find that, apart from the necessity of…

Nuclear Theory · Physics 2023-01-20 Hadi Mehrabpour , S. M. A. Tabatabaee

The deformation of a nucleon embedded in various finite nuclei is considered by taking into account the distortion of the chiral profile functions under the action of an external field representing the nuclear density. The baryon charge…

Nuclear Theory · Physics 2008-11-26 U. T. Yakhshiev , M. M. Musakhanov , A. M. Rakhimov , Ulf-G. Meißner , A. Wirzba

Recent advances in classical density functional theory are combined with stochastic process theory and rare event techniques to formulate a theoretical description of nucleation, including crystallization, that can predict nonclassical…

Chemical Physics · Physics 2019-04-09 James F. Lutsko

The impact of temperature-induced deformations and shape fluctuations on the particle stability and decay processes has been investigated across the isotopes of hot nuclear systems with $Z = 28$ to $50$, with focus on astrophysically…

Nuclear Theory · Physics 2026-03-09 Mamta Aggarwal , Pranali Parab , G. Saxena

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

Statistical Mechanics · Physics 2014-08-27 L. S. Metlov

Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or…

Nuclear Theory · Physics 2020-06-19 N. Schunck , J. O'Neal , M. Grosskopf , E. Lawrence , S. M. Wild

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

Materials Science · Physics 2024-07-23 Pengjie Shi , Zhiping Xu

The richness of phenomena occurring in heavy-ion collisions calls for microscopic approaches where the motion of each nucleon is treated quantum mechanically. The most popular microscopic approach for low-energy collisions between atomic…

Nuclear Theory · Physics 2014-06-03 Cédric Simenel

Recently, it was shown that a theoretical description of nucleation based on fluctuating hydrodynamics and classical density functional theory can be used to determine non-classical nucleation pathways for crystallization (Lutsko, Sci. Adv.…

Chemical Physics · Physics 2024-06-26 James F. Lutsko , Cédric Schoonen

The ground states of some nuclei are described by densities and mean fields that are spherical, while others are deformed. The existence of non-spherical shape in nuclei represents a spontaneous symmetry breaking.

Nuclear Theory · Physics 2012-05-23 Ikuko Hamamoto , Ben R. Mottelson

Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

The instability of a Fermi-liquid drop with respect to bulk density distortions is considered. It is shown that the presence of the surface strongly reduces the growth rate of the bulk instability of the finite Fermi-liquid drop because of…

Nuclear Theory · Physics 2009-10-31 V. M. Kolomietz , S. Shlomo