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A systematic study of the effect of fragment$-$fragment interaction, quantum statistics, $\gamma$-feeding and collective flow is made in the extraction of the nuclear temperature from the double ratio of the isotopic yields in the…

Nuclear Theory · Physics 2009-10-31 B. K. Agrawal , S. K. Samaddar , Tapas Sil , J. N. De

Eighty years after its experimental discovery, a microscopic description of induced nuclear fission based solely on the interactions between neutrons and protons and quantum many-body methods still poses formidable challenges. The goal of…

Nuclear Theory · Physics 2015-06-17 N. Schunck , D. Duke , H. Carr , A. Knoll

The aim of this work is to study how the thermodynamic temperature is related to the known thermometers for nuclei especially in view of studying the microcanonical phase transition. We find within the MMMC-model that the "S-shape" of the…

Nuclear Theory · Physics 2009-10-31 A. Le Fèvre , O. Schapiro , A. Chbihi

The Skyrme energy-density functional approach has been extended to study the massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parameterized barrier distribution the fusion (capture) excitation functions of…

Nuclear Theory · Physics 2009-11-11 Ning Wang , Xizhen Wu , Zhuxia Li , Min Liu , Werner Scheid

We develop a self-consistent description of hot nuclei within the relativistic Thomas--Fermi approximation using the relativistic mean-field model for nuclear interactions. The temperature dependence of the symmetry energy and other…

Nuclear Theory · Physics 2014-11-07 Z. W. Zhang , S. S. Bao , J. N. Hu , H. Shen

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of…

Nuclear Theory · Physics 2010-02-26 N. Paar , G. Colo , E. Khan , D. Vretenar

The Generalized Fermi Breakup recently demonstrated to be formally equivalent to the Statistical Multifragmentation Model, if the contribution of excited states are included in the state densities of the former, is implemented. Since this…

Nuclear Theory · Physics 2014-08-29 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

The emergence of quantum statistical mechanics from individual pure states of closed many-body systems is currently under intensive investigations. While most efforts have been put on the impacts of the direct interaction (i.e., the usual…

Statistical Mechanics · Physics 2018-12-26 Chushun Tian , Kun Yang , Ping Fang , Hai-Jun Zhou , Jiao Wang

A new method of accessing information on the symmetry free energy from yields of fragments produced in Fermi-energy heavy-ion collisions is proposed. Furthermore, by means of quantum fluctuation analysis techniques, correlations between…

We perform a three-dimensional, finite temperature Skyrme-Hartree-Fock study of inhomogeneous nuclear matter to determine the critical density and temperature for the phase transition between the pasta phase and homogeneous matter and its…

Nuclear Theory · Physics 2014-12-04 Helena Pais , William G. Newton , Jirina R. Stone

The multifragmentation of excited spherical nuclear sources with various N/Z ratios and fixed mass number is studied within dynamical and statistical models. The dynamical model treats the multifragmentation process as a final stage of the…

Nuclear Theory · Physics 2011-01-25 A. B. Larionov , A. S. Botvina , M. Colonna , M. Di Toro

The temperature dependence of the symmetry energy and symmetry free energy coefficients of infinite nuclear matter and of finite nuclei is investigated. For infinite matter, both these coefficients are found to have a weaker dependence on…

Nuclear Theory · Physics 2015-06-17 B. K. Agrawal , J. N. De , S. K. Samaddar , M. Centelles , X. Viñas

The relation between collective modes and the phase transition in low density nuclear matter is examined. The dispersion relations for collective modes in a linear approach are evaluated within a Landau-Fermi liquid scheme by assuming…

Nuclear Theory · Physics 2011-05-13 R. M. Aguirre , A. L. De Paoli

We consider a spherical spin system with pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian with ferromagnetic Curie-Weiss interaction. The system shows a two-dimensional phase transition with respect to the temperature and the…

Probability · Mathematics 2018-03-28 Jinho Baik , Ji Oon Lee

Methods of extraction of the symmetry energy (or enthalpy) coefficient to temperature ratio from isobaric and isotopic yields of fragments produced in Fermi-energy heavy-ion collisions are discussed. We show that the methods are consistent…

It was shown that in the canonical ensemble the simple exactly soluble statistical model of nuclei decay into nucleons, which is a limiting case of the statistical multifragmentation model, predicts the nuclear first order phase transition…

Nuclear Theory · Physics 2012-06-29 A. S. Parvan

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

A Hamiltonian model living in a bounded phase space and with long-range interactions is studied. It is shown, by analytical computations, that there exists an energy interval in which the microcanonical entropy is a decreasing convex…

Statistical Mechanics · Physics 2019-05-01 Fabio Miceli , Marco Baldovin , Angelo Vulpiani

A quantum statistical model of nuclear multifragmentation is proposed. The recurrence equation method used within the canonical ensemble makes the model solvable and transparent to physical assumptions and allows to get results without…

Nuclear Theory · Physics 2009-10-31 A. S. Parvan , V. D. Toneev , M. Ploszajczak

On the basis of morphological thermodynamics we develop an exactly solvable version of statistical mutifragmentation model for the nuclear liquid-gas phase transition. It is shown that the hard-core repulsion between spherical nuclei…

Nuclear Theory · Physics 2023-02-03 V. S. Kucherenko , K. A. Bugaev , V. Sagun , O. Ivanytskyi