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The behaviour of a di-nuclear system in the regime of strong pairing correlations is studied with the methods of statistical mechanics. It is shown that the thermal averaging is strong enough to assure the application of thermodynamical…

Nuclear Theory · Physics 2011-02-28 Karl-Heinz Schmidt , Beatriz Jurado

Recently an alpha-cluster model based on the pn-pair interactions with using the isospin invariance of nuclear force has been proposed. According to the model the excess neutron pairs fill out the free space in the core determined by the…

Nuclear Theory · Physics 2007-09-20 G. K. Nie

Density functional theory has made great success in solid state physics, quantum chemistry and in computational material sciences. In this work we show that density functional theory could shed light on phase transitions and entanglement at…

Statistical Mechanics · Physics 2017-08-11 Bo-Bo Wei

The correlations between global description of the ground state properties (binding energies, charge radii) and nuclear matter properties of the state-of-the-art covariant energy density functionals have been studied. It was concluded that…

Nuclear Theory · Physics 2016-06-07 A. V. Afanasjev , S. E. Agbemava

We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small but positive and bounded away from zero, while the…

Probability · Mathematics 2021-01-22 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

A clear connection can be established between properties of nuclear matter and finite-nuclei observables, such as the correlation between the slope of the symmetry energy and dipole polarizability, or between compressibility and the…

Nuclear Theory · Physics 2023-09-01 Ante Ravlić , Esra Yüksel , Tamara Nikšić , Nils Paar

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

In this theoretical study, we have derived a simplified analytical expression for the binding energy per nucleon as a function of density and isospin asymmetry within the relativistic mean-field model. We have generated a new…

Nuclear Theory · Physics 2024-03-06 Praveen K. Yadav , Raj Kumar , M. Bhuyan

Binding energy of symmetric nuclear matter can be accessed straightforwardly with the textbook mass-formula and a sample of nuclear masses. We show that, with a minimally modified formula (along the lines of the droplet model), the symmetry…

Nuclear Theory · Physics 2009-11-10 P. Danielewicz

The symmetry energy of nuclear matter is a fundamental ingredient in the investigation of exotic nuclei, heavy-ion collisions and astrophysical phenomena. New data from heavy-ion collisions can be used to extract the free symmetry energy…

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The thermodynamics framework of an interacting quantum gas trapped by an arbitrary external potential is reviewed. We show that for each confining potential, in the thermodynamic limit, there emerge "generalized" volume and pressure…

Statistical Mechanics · Physics 2016-08-14 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We obtain explicit upper and lower bounds for the expected action energy associated with a pair $({\sf A},{\sf \Delta})$ of subsets sampled uniformly at random from a permutation group and its domain, respectively. We then specialize these…

Group Theory · Mathematics 2026-03-03 Marco Barbieri , Marusa Lekše , Andoni Zozaya

We present the covariance analysis of two successful nuclear energy density functionals, (i) a non-relativistic Skyrme functional built from a zero-range effective interaction, and (ii) a relativistic nuclear energy density functional based…

Nuclear Theory · Physics 2016-11-25 X. Roca-Maza , N. Paar , G. Colò

The ground-state properties of superfluid nuclear systems with ^1S_0 pairing are studied within a local energy-density functional (LEDF) approach. A new form of the LEDF is proposed with a volume part which fits the Friedman- Pandharipande…

Nuclear Theory · Physics 2011-04-15 S. A. Fayans , D. Zawischa

The properties of nuclei embedded in an electron gas are studied within the relativistic mean-field approach. These studies are relevant for nuclear properties in astrophysical environments such as neutron-star crusts and supernova…

Nuclear Theory · Physics 2008-11-26 Thomas J. Buervenich , Igor N. Mishustin , Walter Greiner

We analyse the continuum-state and bound-state beta^-decay rates of the neutron. For the calculation of theoretical values of the decay rates we use the new value for the axial coupling constant g_A = 1.2750(9), obtained recently by H.…

High Energy Physics - Phenomenology · Physics 2009-11-06 M. Faber , A. N. Ivanov , V. A. Ivanova , J. Marton , M. Pitschmann , A. P. Serebrov , N. I. Troitskaya , M. Wellenzohn

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

We use analytical calculations and event-driven molecular dynamics simulations to study a small number of hard sphere particles in a spherical cavity. The cavity is taken also as the thermal bath so that the system thermalizes by collisions…

Soft Condensed Matter · Physics 2014-09-30 Ignacio Urrutia , Claudio Pastorino

We study the neutron-proton pairing in nuclear matter as a function of isospin asymmetry at finite temperatures and the saturation density using realistic nuclear forces and Brueckner-renormalized single particle spectra. Our computation of…

Nuclear Theory · Physics 2009-11-06 Armen Sedrakian , Umberto Lombardo