TEMPERATURE DEPENDENCE OF THE EFFECTIVE INTERACTION IN NUCLEAR MATTER

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-301-C2-304
Author(s):  
M. BALDO ◽  
G. GIANSIRACUSA ◽  
U. LOMBARDO
Keyword(s):  
Nuclear Matter ◽  
Temperature Dependence ◽  
Effective Interaction

scholarly journals EQUATION OF STATE FOR DENSE SUPERNOVA MATTER

2009 ◽  
Vol 18 (08) ◽  
pp. 1205-1226 ◽  
Author(s):  
C. C. MOUSTAKIDIS
Keyword(s):  
High Temperature ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Thermal Effects ◽  
Effective Interaction ◽  
Interaction Model ◽  
Decay Process ◽  
High Density ◽  
Β Decay ◽  
Charge Neutrality

We provide an equation of state for high density supernova matter by applying a momentum-dependent effective interaction. We focus on the study of the equation of state of high density and high temperature nuclear matter containing leptons (electrons and neutrinos) under the chemical equilibrium condition. The conditions of charge neutrality and equilibrium under the β-decay process lead first to the evaluation of the lepton fractions and afterward to the evaluation of internal energy, pressure, entropy and, in total to the equation of state of hot nuclear matter for various isothermal cases. Thermal effects on the properties and equation of state of nuclear matter are evaluated and analyzed in the framework of the proposed effective interaction model. Since supernova matter is characterized by a constant entropy, we also present the thermodynamic properties for the isentropic case. Special attention is devoted to the study of the contribution of the components of β-stable nuclear matter to the entropy per particle, a quantity of great interest for the study of structure and collapse of supernovas.

scholarly journals Limiting symmetry energy elements from empirical evidence

2017 ◽  
Vol 26 (05) ◽  
pp. 1750022 ◽  
Author(s):  
B. K. Agrawal ◽  
S. K. Samaddar ◽  
J. N. De ◽  
C. Mondal ◽  
Subhranil De
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Density Functional ◽  
Effective Interaction ◽  
Finite Range ◽  
Energy Density Functional ◽  
Density Dependent ◽  
Bulk Data ◽  
Energy Coefficient ◽  
Finite Nuclei

In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The parameters of this interaction are determined from well-accepted characteristic constants associated with homogeneous nuclear matter. The symmetry energy coefficient [Formula: see text], its density slope [Formula: see text], the symmetry incompressibility [Formula: see text] as well as the density-dependent incompressibility [Formula: see text] evaluated with this EoS are seen to be in good harmony with those obtained from other diverse perspectives. The higher order symmetry energy coefficients [Formula: see text], etc., are seen to be not very significant in the domain of densities relevant to finite nuclei, but gradually build up at supra-normal densities. The analysis carried out with a Skyrme-inspired energy density functional (EDF) obtained with the same input values for the empirical bulk data associated with nuclear matter yields nearly the same results.

Simple effective interaction: infinite nuclear matter and finite nuclei

2013 ◽  
Vol 40 (9) ◽  
pp. 095105 ◽  
Author(s):  
B Behera ◽  
X Viñas ◽  
M Bhuyan ◽  
T R Routray ◽  
B K Sharma ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Effective Interaction ◽  
Finite Nuclei

scholarly journals Microscopic calculation of the temperature dependence of the effective interaction

1989 ◽  
Vol 492 (2) ◽  
pp. 173-186 ◽  
Author(s):  
J. Cugnon ◽  
A. Lejeune ◽  
M. Baldo ◽  
U. Lombardo
Keyword(s):  
Temperature Dependence ◽  
Effective Interaction ◽  
Microscopic Calculation

Thermal properties of nuclear matter with a momentum-dependent effective interaction

1993 ◽  
Vol 47 (4) ◽  
pp. 1519-1528 ◽  
Author(s):  
V. K. Mishra ◽  
G. Fai ◽  
L. P. Csernai ◽  
E. Osnes
Keyword(s):  
Thermal Properties ◽  
Nuclear Matter ◽  
Effective Interaction

scholarly journals The calculation of Binding Energy and Incompressibility, Pressure, and Velocity of Sound of Infinite Nuclear matter Using New One Boson Interaction.

2019 ◽  
Vol 1 ◽  
pp. 288-293
Author(s):  
M T Aper ◽  
F Gbaorun ◽  
J O Fiase
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Research Work ◽  
Nucleon Nucleon ◽  
Matrix Approach ◽  
Velocity Of Sound ◽  
Model Calculations ◽  
Effective Interactions

The use of effective nucleon – nucleon (N N) interactions for the determination of nuclear matter properties such as, binding energy per nucleon, incompressibility,K of infinite nuclear matter, pressure 0 and velocity of sound of nuclear matter has been a subject of great interest to nuclear physicists for many decades. The effective interaction usually involved in these calculations has been the Michigan three Yukawa (M3Y) effective interactions whose origin is from G- matrix approach. In this research work however, we have used a newly developed interaction known as new one boson (NOB) effective interaction to carry out similar calculations. This new interaction is based on the Lowest Order Constrained Variational (LOCV) technique. The interaction reproduces the saturation energy of spin and isospin infinite nuclear matter of approximately -16MeV at the normal nuclear matter saturation density consistent with the best available density-dependent interaction derived from the G-matrix approach. The results of the incompressibility obtained using the NOB interaction ranges from 304 to 309 MeV. These values are in good agreement with the values of incompressibility obtained for similar calculations using the M3Y – Reid effective interaction, in which values for K range from 304 to 310 MeV. The results of 0 pressure and velocity of sound of infinite nuclear matter obtained in the present calculations are also in excellent agreement with results of other workers. The results of our present calculations indicate that, the NOB interaction has passed the basic test for an effective interaction. The NOB may therefore be applied to other nuclear matter and optical model calculations to ascertain its reliability.

scholarly journals PAIRING PROPERTIES OF SYMMETRIC NUCLEAR MATTER IN RELATIVISTIC MEAN FIELD THEORY

2008 ◽  
Vol 17 (08) ◽  
pp. 1441-1452 ◽  
Author(s):  
J. LI ◽  
B. Y. SUN ◽  
J. MENG
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Symmetric Nuclear Matter ◽  
Effective Interactions ◽  
Relativistic Mean Field ◽  
Effective Factor ◽  
Pairing Correlations

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction, PK1. Considering the well-known problem that the pairing gap at the Fermi surface calculated with RMF effective interactions is three times larger than that with the Gogny force, an effective factor in the particle–particle channel is introduced. For the RMF calculation with PK1, an effective factor of 0.76 gives a maximum pairing gap of 3.2 MeV at a Fermi momentum of 0.9 fm-1, which is consistent with the result with the Gogny force.

Sign in / Sign up

Export Citation Format

Share Document