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The nuclear-matter liquid-gas phase transition induces instabilities against finite-size density fluctuations. This has implications for both heavy-ion-collision and compact-star physics. In this paper, we study the clusterization…

Nuclear Theory · Physics 2008-11-26 C. Ducoin , J. Margueron , Ph. Chomaz

Nuclei in dense matter are influenced by the medium. In the cluster mean field approximation, an effective Schr\"odinger equation for the $A$-particle cluster is obtained accounting for the effects of the surrounding medium, such as…

Nuclear Theory · Physics 2015-05-28 G. Röpke

The appearance of nuclear clusters in stellar matter at densities below nuclear saturation is an important feature in the modeling of the equation of state for astrophysical applications. There are different theoretical concepts to describe…

Nuclear Theory · Physics 2016-12-22 Helena Pais , Stefan Typel

We formulate a general setting for the cluster expansion method and we discuss sufficient criteria for its convergence. We apply the results to systems of classical and quantum particles with stable interactions.

Mathematical Physics · Physics 2009-05-08 Suren Poghosyan , Daniel Ueltschi

The abundances of light clusters within a formalism that considers in-medium effects are calculated using several relativistic mean-field models, with both density-dependent and density-independent couplings. Clusters are introduced as new…

An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can possess different bound states realized as compact clusters. The…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

We investigate nuclear matter at finite temperature and density, including the formation of light clusters up to the alpha particle The novel feature of this work is to include the formation of clusters as well as their dissolution due to…

Nuclear Theory · Physics 2010-04-06 S. Typel , G. Röpke , T. Klähn , D. Blaschke , H. H. Wolter

We present a phenomenological theory of nuclei which incorporates clustering at the nuclear surface in a general form. The theory explains the recently extracted large symmetry energy at low densities of nuclear matter and is consistent…

Nuclear Theory · Physics 2010-06-29 Q. N. Usmani , Zaliman Sauli , Noraihan Abdullah

The role of saturation for cluster formation in finite systems such as atomic nuclei is analyzed by considering three length-scale ratios, and performing deformation-constrained self-consistent mean-field calculations. The effect of…

Nuclear Theory · Physics 2015-06-18 Jean-Paul Ebran , Elias Khan , Tamara Niksic , Dario Vretenar

The structure and dynamics of an n-particle system are described with coupled nonlinear Heisenberg's commutator equations where the nonlinear terms are generated by the two-body interaction that excites the reference vacuum via…

High Energy Physics - Theory · Physics 2016-09-06 M Tomaselli , L. C. Liu , T. Kuehl , W. Noertershaeuser , D. Ursescu , S. Fritzsche

Perturbing fluids of neutrons and protons (nuclear matter) may lead, as the most catastrophic effect, to the rearrangement of the fluid into clusters of nucleons. A similar process may occur in a single atomic nucleus undergoing a violent…

Nuclear Theory · Physics 2018-05-23 P. Napolitani , M. Colonna , C. Mancini-Terracciano

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

It is shown how traditional development of theories of fluids based upon the concept of physical clustering can be adapted to an alternative local clustering definition. The alternative definition can preserve a detailed valence description…

Chemical Physics · Physics 2015-06-26 Lawrence R. Pratt , Randall A. LaViolette

The energy spectrum of nucleons in high-density nuclear matter is investigated in the framework of relativistic meson-nucleon many-body theory, employing the $1/N$ expansion method. The coupling of the nucleon with the particle-hole…

Nuclear Theory · Physics 2009-09-25 Kazuhiro Tanaka

Properties of nuclear systems at subsaturation densities can be obtained from different approaches. We demonstrate the use of the density autocorrelation function which is related to the isothermal compressibility and, after integration, to…

Nuclear Theory · Physics 2017-12-07 Gerd Roepke , Dmitri Voskresensky , Ivan Kryukov , David Blaschke

We review the basics of the coupled-cluster expansion formalism for numerical solutions of the many-body problem, and we outline the principles of an approach directed towards an adequate inclusion of continuum effects in the associated…

Nuclear Theory · Physics 2009-11-10 Bogdan Mihaila

Influence of surrounding matter on the properties of clusters is considered by an approach combining the methods of statistical and quantum mechanics. A cluster is treated as a bound N-particle system and surrounding matter as thermostat.…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

Quasicrystals remain among the most intriguing materials in physics and chemistry. Their structure results in many unusual properties including anomalously low friction as well as poor electrical and thermal conductivity but it also…

Quantum Gases · Physics 2020-05-01 Guido Pupillo , Primoz Ziherl , Fabio Cinti

Nucleonic matter displays a quantum liquid structure, but in some cases finite nuclei behave like molecules composed of clusters of protons and neutrons. Clustering is a recurrent feature in light nuclei, from beryllium to nickel. For…

Nuclear Theory · Physics 2015-06-04 J. -P Ebran , E. Khan , T. Niksic , D. Vretenar

The cluster variation method (CVM) is a hierarchy of approximate variational techniques for discrete (Ising--like) models in equilibrium statistical mechanics, improving on the mean--field approximation and the Bethe--Peierls approximation,…

Statistical Mechanics · Physics 2007-07-16 Alessandro Pelizzola