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The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

The time-dependence of the quantum entropy for a two-level atom interacting with a single-cavity mode is computed using the Jaynes-Cummings model, when the initial state of the radiation field is prepared in a thermal state with temperature…

Quantum Physics · Physics 2022-01-26 Jorge David Castaño-Yepes

In a finite temperature Thomas-Fermi theory with realistic nuclear interactions, we construct caloric curves for finite nuclei enclosed in a sphere of about $4 - 8$ times the normal nuclear volume. The specific heat capacity $C_v$ shows a…

Nuclear Theory · Physics 2009-09-25 J. N. De , S. Das Gupta , S. Shlomo , S. K. Samaddar

An alternative way to constrain the density dependence of the symmetry energy with the slope of the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z^{2/3}…

Nuclear Theory · Physics 2011-08-02 Min Liu , Zhuxia Li , Ning Wang , Fengshou Zhang

Experimental data for central collisions of $^{129}$Xe on $^{119}$Sn at beam energies of (a) 32 MeV/nucleon, (b) 39 MeV/nucleon, (c) 45 MeV/nucleon and (d) 50 MeV/nucleon are compared with results calculated using a hybrid model. We use a…

Nuclear Theory · Physics 2015-05-20 S. Mallik , G. Chaudhuri , S. Das Gupta

The temperature dependence of the symmetry energy for isotopic chains of even-even Ni, Sn, and Pb nuclei is investigated in the framework of the local density approximation (LDA). The Skyrme energy density functional with two Skyrme-class…

Nuclear Theory · Physics 2017-02-22 A. N. Antonov , D. N. Kadrev , M. K. Gaidarov , P. Sarriguren , E. Moya de Guerra

Equation of state with quantum statistics corrections is derived for systems of the Fermi and Bose particles by using their van der Waals (vdW) and effective density-dependent Skyrme mean-field interactions. First few orders of these…

Nuclear Theory · Physics 2022-03-14 S. N. Fedotkin , A. G. Magner , U. V. Grygoriev

It is shown that the experimentally observed decrease of the nuclear symmetry energy with the increasing centrality or the excitation energy in isotopic scaling analyses of heavy-ion reactions can be well understood analytically within a…

Nuclear Theory · Physics 2009-11-11 Bao-An Li , Lie-Wen Chen

The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QPT) and excited state quantum phase transitions (ESQPT). The…

Quantum Physics · Physics 2016-10-12 Miguel A. Bastarrachea-Magnani , Sergio Lerma-Hernández , Jorge G. Hirsch

Superfluid states of symmetric nuclear matter with finite total momentum of Cooper pairs (nuclear LOFF phase) are studied with the use of Fermi-liquid theory in the model with Skyrme effective forces. It is considered the case of four-fold…

Nuclear Theory · Physics 2009-11-07 A. A. Isayev

The statistical equilibrium properties of the linear sigma model are studied, with a view towards characterizing the field configurations employed as initial conditions for numerical simulations of the formation of disoriented chiral…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jorgen Randrup

We study the statistics of the kinetic (or equivalently potential) energy for $N$ non-interacting fermions in a $1d$ harmonic trap of frequency $\omega$, at finite temperature $T$. Remarkably, we find an exact solution for the full…

Statistical Mechanics · Physics 2018-09-27 Jacek Grela , Satya N. Majumdar , Gregory Schehr

The properties of warm symmetric and asymmetric nuclear matter are investigated in the frame of the Thomas-Fermi approximation using a recent modern parametrization of the effective nucleon-nucleon interaction of Myers and Swiatecki.…

Nuclear Theory · Physics 2015-06-26 Klaus Strobel , Fridolin Weber , Manfred K. Weigel

A generalized non-relativistic Fermi-liquid approach was used to find analytical formulas for temperatures $T_{c,1}(n,H)$ and $T_{c,2}(n,H)$ (which are functions nonlinear of density n and linear of magnetic field H) of phase transitions in…

Nuclear Theory · Physics 2013-01-24 Alexander N. Tarasov

A self-consistent description for hot $\Lambda$ hypernuclei in hypothetical big boxes is developed within the relativistic Thomas-Fermi approximation in order to investigate directly the liquid-gas phase coexistence in strangeness finite…

Nuclear Theory · Physics 2016-11-30 Jinniu Hu , Zhaowen Zhang , Shishao Bao , Hong Shen

A rapidly converging 4-dimensional Fourier shape parametrization is used to model the fission process of heavy nuclei. Potential energy landscapes are computed within the macroscopic-microscopic approach, on top of which the…

We present the temperature and density dependence of symmetry energy for nuclear matter at finite temperature based on the approach of the thermodynamics with Skyrme energy density functional. We first classify the Skyrme interactions into…

Nuclear Theory · Physics 2015-05-20 Li Ou , Zhuxia Li , Yingxun Zhang , Min Liu

For central collisions of $^{40}$Ca $+ ^{40}$Ca at 35 MeV/nucleon, the density and temperature of a fragmenting source have been evaluated in a self-consistent manner using the ratio of the symmetry energy coefficient relative to the…

Nuclear Theory · Physics 2014-10-15 X. Liu , W. Lin , R. Wada , M. Huang , Z. Chen , G. Q. Xiao , S. Zhang , X. Jin , J. Liu , F. Shi , P. Ren , H. Zheng , J. B. Natowitz , A. Bonasera

In a finite temperature Thomas-Fermi framework, we calculate density distributions of hot nuclei enclosed in a freeze-out volume of few times the normal nuclear volume and then construct the caloric curve, with and without inclusion of…

Nuclear Theory · Physics 2009-10-30 J. N. De , S. K. Samaddar , S. Shlomo

The characteristic properties of the hot nuclear matter existing at the time of fragment formation in the multifragmentation events produced in the reaction $^{64}$Zn + $^{112}$Sn at 40 MeV/nucleon are studied. A kinematical focusing method…