A NUCLEAR MANY-BODY THEORY AT FINITE TEMPERATURE APPLIED TO A PROTONEUTRON STAR

2002 ◽  
Vol 11 (02) ◽  
pp. 83-104 ◽  
Author(s):  
GUILHERME F. MARRANGHELLO ◽  
CESAR A. Z. VASCONCELLOS ◽  
MANFRED DILLIG ◽  
J. A. DE FREITAS PACHECO
Keyword(s):  
Phase Transition ◽  
Nuclear Matter ◽  
Finite Temperature ◽  
Degrees Of Freedom ◽  
Many Body ◽  
Many Body Theory ◽  
The Masses ◽  
Protoneutron Stars ◽  
Protoneutron Star

Thermodynamical properties of nuclear matter are studied in the framework of an effective many-body field theory at finite temperature, considering the Sommerfeld approximation. We perform the calculations by using the nonlinear Boguta and Bodmer model, extended by the inclusion of the fundamental baryon octet and leptonic degrees of freedom. Trapped neutrinos are also included in order to describe protoneutron star properties through the integration of the Tolman–Oppenheimer–Volkoff equations, from which we obtain, beyond the standard relations for the masses and radii of protoneutron stars as functions of the central density, new results of these quantities as functions of temperature. Our predictions include: the determination of an absolute value for the limiting mass of protoneutron stars; new structural aspects on the nuclear matter phase transition via the behavior of the specific heat and, through the inclusion of quark degrees of freedom, the properties of a hadron-quark phase transition and hybrid protoneutron stars

NUCLEAR MANY-BODY THEORY AT FINITE TEMPERATURE APPLIED TO A PROTONEUTRON STAR

2003 ◽  
Vol 17 (28) ◽  
pp. 5191-5195 ◽  
Author(s):  
G. F. MARRANGHELLO ◽  
C. A. Z. VASCONCELLOS ◽  
M. DILLIG ◽  
J. A. de FREITAS PACHECO
Keyword(s):  
Finite Temperature ◽  
Degrees Of Freedom ◽  
Extended Version ◽  
Many Body ◽  
Many Body Theory ◽  
Walecka Model ◽  
Body Theory ◽  
Nuclear Many Body Theory ◽  
Protoneutron Star

We describe the structure of the Sommerfeld approximation to the Walecka model. The approximation is also applied to an extended version of the Boguta and Bodmer model which takes hyperon and lepton degrees of freedom into account, including trapped neutrinos. We apply the results to the protoneutron star problem.

scholarly journals Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory

2017 ◽  
Author(s):  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Mizuki Shirogane ◽  
Naoki Wakabayashi ◽  
Kazuyuki Kanaya ◽  
...  
Keyword(s):  
Phase Transition ◽  
Gauge Theory ◽  
Latent Heat ◽  
Finite Temperature ◽  
Temperature Phase ◽  
Temperature Phase Transition

scholarly journals Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

2018 ◽  
Vol 182 ◽  
pp. 03007
Author(s):  
A. Lavagno
Keyword(s):  
Phase Transition ◽  
Nuclear Matter ◽  
Gas Phase ◽  
Degrees Of Freedom ◽  
Baryon Density ◽  
Hadronic Matter ◽  
Mechanical Instability ◽  
Dense Nuclear Matter ◽  
Nuclear Phase ◽  
Matter Phase

We study the presence of thermodynamic instabilities in a nuclear medium at finite temperature and density where nuclear phase transitions can take place. Such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the electric charge concentration). Similarly to the liquid-gas phase transition, the nucleonic and the Δ-matter phase have a different isospin density in the mixed phase. In the liquid-gas phase transition, the process of producing a larger neutron excess in the gas phase is referred to as isospin fractionation. A similar effects can occur in the nucleon-Δ matter phase transition due essentially to a Δ- excess in the Δ-matter phase in asymmetric nuclear matter. In this context we also discuss the relevance of Δ-isobar and hyperon degrees of freedom in the bulk properties of the protoneutron stars at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos.

PHASE TRANSITION PATTERNS OF NUCLEAR MATTER BASED ON EXTENDED LINEAR SIGMA MODEL

2013 ◽  
Vol 22 (11) ◽  
pp. 1350077 ◽  
Author(s):  
TRAN HUU PHAT ◽  
NGUYEN TUAN ANH ◽  
PHUNG THI THU HA
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Nuclear Matter ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Baryon Chemical Potential ◽  
Chiral Phase ◽  
The Relationship

We study systematically various types of phase transitions in nuclear matter at finite temperature T and baryon chemical potential μ based on the extended linear sigma model with nucleon degrees of freedom. It is shown that there are three types of phase transitions in nuclear matter: the chiral symmetry nonrestoration (SNR) at high temperature, the well-known liquid–gas (LG) phase transition at sub-saturation density and the Lifshitz phase transition (LPT) from the fully-gapped state to the state with Fermi surface. Their phase diagrams are established in the (T, μ)-plane and their physical properties are investigated in detail. The relationship between the chiral phase transition and the LG phase transition in nuclear matter is discussed.

Many-body theory of nuclear matter

1976 ◽  
Vol 25 (2) ◽  
pp. 83-174 ◽  
Author(s):  
J.P Jeukenne ◽  
A Lejeune ◽  
C Mahaux
Keyword(s):  
Nuclear Matter ◽  
Many Body ◽  
Many Body Theory ◽  
Body Theory

scholarly journals Thermodynamic Hadron-Quark Phase Transition of Chiral Nuclear Matter at High Temperature

2021 ◽  
Vol 7 (1) ◽  
pp. 1-9
Author(s):  
Tuan Anh Nguyen
Keyword(s):  
Phase Transition ◽  
High Temperature ◽  
Nuclear Matter ◽  
Degrees Of Freedom ◽  
Elementary Excitation ◽  
Chiral Phase ◽  
Njl Model ◽  
Limited Temperature ◽  
Quark Phase ◽  
Very High

Based on the extended Nambu-Jona–Lasinio (NJL) model with the scalar-vector eightpoint interaction [15], we consider what ultimately happens to exact chiral nuclear matter as it is heated. In the realm of very high temperature the fundamental degrees of freedom of the strong interaction, quarks and gluons, come into play and a transition from nuclear matter consisting of confined baryons and mesons to a state with ‘liberated’ quarks and gluons is expected. In this paper, the hadron-quark phase transition occurs above a limited temperature and after the chiral phase transition in the nuclear matter. There is a so-called quarkyonic- like phase, in which the chiral symmetry is restored but the elementary excitation modes are nucleonic at high density, appears just before deconfinement.PACS: 21.65.-f, 21.65.Mn, 11.30.Rd, 12.39.Ba, 25.75.Nq, 68.35.Rh

scholarly journals Clusters as surrogate for explicit short-range correlations in relativistic mean-field models

2020 ◽  
Vol 229 (22-23) ◽  
pp. 3433-3444
Author(s):  
Stefan Typel
Keyword(s):  
Nuclear Matter ◽  
Density Functional ◽  
Degrees Of Freedom ◽  
Present Model ◽  
Mean Field ◽  
Theoretical Models ◽  
Density Functionals ◽  
Many Body ◽  
Relativistic Mean Field ◽  
Short Range Correlations

AbstractThe formation of clusters at sub-saturation densities in nuclear matter can be seen as a result of many-body correlations. Various theoretical models have been developed to take this effect into account, mostly on a phenomenological level using energy density functionals. These models are constructed in such a way that clusters appear solely in dilute matter and dissolve when the density approaches the nuclear saturation density. At higher densities only nucleons survive as quasi-particles and no explicit correlations between the constituents of nuclear matter are considered. The possible description of correlations with cluster degrees of freedom at supra-saturation densities is explored using the example of a quasi-deuteron in a generalized relativistic density functional. The required change in the density dependence of the cluster mass shift, responsible for describing the cluster dissolution in the present model, is derived for nuclear matter at zero temperature.

scholarly journals Finite-temperature many-body theory with the Lipkin model

1994 ◽  
Vol 580 (2) ◽  
pp. 277-290 ◽  
Author(s):  
S.Y. Tsay Tzeng ◽  
P.J. Ellis ◽  
T.T.S. Kuo ◽  
E. Osnes
Keyword(s):  
Finite Temperature ◽  
Many Body ◽  
Many Body Theory ◽  
Lipkin Model ◽  
Body Theory
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