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In supernova cores and neutron star crusts, nuclei are thought to deform to rodlike and slablike shapes, which are often called nuclear pasta. We study the equilibrium properties of the nuclear pasta by using a liquid drop model with…

Nuclear Theory · Physics 2011-07-12 Ken'ichiro Nakazato , Kei Iida , Kazuhiro Oyamatsu

We investigate the phase structure of homogeneous and inhomogeneous neutron-proton condensate in isospin asymmetric nuclear matter. At extremely low nuclear density the condensed matter is in homogeneous phase at any temperature, while in…

Nuclear Theory · Physics 2018-04-24 Meng Jin , Lianyi He , Pengfei Zhuang

We generalize our earlier work on neutron stars (arXiv:1903.04981), which assumed spherical Wigner-Seitz cells in the inner crust, to admit the possibility of pasta phases, i.e., non-spherical cell shapes. Full fourth-order extended…

High Energy Astrophysical Phenomena · Physics 2020-01-16 J. M. Pearson , N. Chamel , A. Y. Potekhin

Neutron stars are one of the most extreme objects in the universe, with densities that can exceed those of atomic nuclei and gravitational fields that are among the strongest known. Theoretical and observational research on neutron stars…

High Energy Astrophysical Phenomena · Physics 2023-03-16 J. Alfredo Collazos

In this chapter we discuss some possible physical pictures that describe the constitution of the inner crust of compact objects. Different relativistic models both with constant couplings and density dependent ones are used. We calculate…

Phenomenological approach to inhomogeneous nuclear matter is useful to describe fundamental properties of atomic nuclei and neutron star crusts in terms of the equation of state of uniform nuclear matter. We review a series of researches…

Nuclear Theory · Physics 2015-06-17 Kei Iida , Kazuhiro Oyamatsu

Regular pattern formation is ubiquitous in nature; it occurs in biological, physical, and materials science systems. Here we propose a set of experiments with ultracold atoms that show how to examine different types of pattern formation. In…

Strongly Correlated Electrons · Physics 2008-08-14 M. M. Maska , R. Lemanski , J. K. Freericks , C. J. Williams

Background: The inner crust of a neutron star is believed to consist of Coulomb-frustrated complex structures known as "nuclear pasta" that display interesting and unique low-energy dynamics. Purpose: To elucidate the structure and…

Nuclear Theory · Physics 2015-06-12 K. H. O. Hasnaoui , J. Piekarewicz

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

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

In the present paper, the pasta phase is studied at finite temperatures within a Thomas-Fermi (TF) approach. Relativistic mean field models, both with constant and density-dependent couplings, are used to describe this frustrated system. We…

Nuclear Theory · Physics 2012-05-14 S. S. Avancini , S. Chiacchiera , D. P. Menezes , C. Providência

It is shown, in the framework of the Thomas-Fermi model at finite temperature, that a cooling non-degenerate gas of massive neutrinos will, at a certain temperature, become unstable and undergo a first-order phase transition in which…

Astrophysics · Physics 2007-05-23 Neven Bilic , Raoul D. Viollier

We construct explicit analytic solutions of the $SU(N)$-Skyrme model (for generic $N$) suitable to describe different phases of nuclear pasta at finite volume in $(3+1)$ dimensions. The first type are crystals of Baryonic tubes (nuclear…

High Energy Physics - Theory · Physics 2022-01-05 Sergio L. Cacciatori , Fabrizio Canfora , Marcela Lagos , Federica Muscolino , Aldo Vera

We examine the model dependence of the phase diagram of inhomogeneous nulcear matter in supernova cores using the quantum molecular dynamics (QMD). Inhomogeneous matter includes crystallized matter with nonspherical nuclei - "pasta" phases…

Understanding how matter behaves at the highest densities and temperatures is a major open problem in both nuclear physics and relativistic astrophysics. This physics is often encapsulated in the so-called high-temperature nuclear equation…

High Energy Astrophysical Phenomena · Physics 2022-06-22 Mikhail M. Meskhi , Noah E. Wolfe , Zhenyu Dai , Carla Frohlich , Jonah M. Miller , Raymond K. W. Wong , Ricardo Vilalta

Various definitions of the symmetry energy are introduced for nuclei, dilute nuclear matter below saturation density and stellar matter, which is found in compact stars or core-collapse supernovae. The resulting differences are exemplified…

Nuclear Theory · Physics 2015-06-17 S. Typel , H. H. Wolter , G. Röpke , D. Blaschke

The Thomas-Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is…

Nuclear Theory · Physics 2025-08-05 Shuying Li , Hong Shen , Jinniu Hu

We present a global linear stability analysis of nuclear fuel accumulating on the surface of an accreting neutron star and we identify the conditions under which thermonuclear bursts are triggered. The analysis reproduces all the recognized…

Astrophysics · Physics 2009-11-07 Ramesh Narayan , Jeremy S. Heyl

We present a detailed analysis of three models predicting the properties of non-uniform matter in the crust of neutron stars: the compressible liquid-drop model, the fourth order Extended Thomas Fermi (ETF) method, and ETF plus Strutinsky…

Background: Nuclear pasta phases, present in the inner crust of neutron stars, are associated with nucleonic matter at sub-saturation densities arranged in regular shapes. Those complex phases, residing in a layer which is approximately 100…

Nuclear Theory · Physics 2016-05-02 B. Schuetrumpf , W. Nazarewicz