Two-loop corrections for nuclear matter in the Walecka model

1989 ◽  
Vol 40 (1) ◽  
pp. 321-353 ◽  
Author(s):  
R. J. Furnstahl ◽  
Robert J. Perry ◽  
Brian D. Serot
Keyword(s):  
Nuclear Matter ◽  
Walecka Model

Erratum: Two-loop corrections for nuclear matter in the Walecka model

1990 ◽  
Vol 41 (1) ◽  
pp. 404-404 ◽  
Author(s):  
R. J. Furnstahl ◽  
Robert J. Perry ◽  
Brian D. Serot
Keyword(s):  
Nuclear Matter ◽  
Walecka Model

Two-loop corrections for nuclear matter in the Walecka model with form factors

1992 ◽  
Vol 46 (1) ◽  
pp. 188-194 ◽  
Author(s):  
R. Friedrich ◽  
K. Wehrberger ◽  
F. Beck
Keyword(s):  
Nuclear Matter ◽  
Form Factors ◽  
Walecka Model

NEUTRON STAR MASS CORRELATION WITH SOUND VELOCITY AND INCOMPRESSIBILITY AT THE STAR CENTER IN THE POLYTROPIC APPROXIMATION

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1575-1582
Author(s):  
L. FERRARI ◽  
P. C. R. ROSSI ◽  
M. MALHEIRO
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Sound Velocity ◽  
Mean Field ◽  
Star Mass ◽  
Mean Field Models ◽  
Neutron Star Mass ◽  
Analytic Expressions ◽  
Walecka Model

In this paper we use a polytropic approximation to the equation of state for the interior of neutrons stars, described by relativistic hadronic mean field models. In this approximation, it is possible to obtain analytic expressions for the sound velocity and the incompressibility at the star center. We found a correlation between these quantities and the star mass. Using two well-known parametrizations of the nonlinear Walecka model for nuclear matter composed only of protons, neutrons and electron in β equilibrium, we obtain for a star mass of 1.43 M⊙ a central incompressibility Kc = (3000±100), around ten times the nuclear matter incompressibility, and a central sound velocity (v/c)2 ~ 0.3.

POINT-COUPLING AND NONLINEAR WALECKA MODELS CONNECTION

2007 ◽  
Vol 16 (09) ◽  
pp. 3037-3040 ◽  
Author(s):  
O. LOURENÇO ◽  
M. DUTRA ◽  
A. DELFINO ◽  
R. L. P. G. AMARAL
Keyword(s):  
Nuclear Matter ◽  
Equations Of State ◽  
Mean Field ◽  
Coupling Model ◽  
Equation Of States ◽  
Theoretical Support ◽  
Naive Dimensional Analysis ◽  
Spectra Properties ◽  
Finite Nuclei ◽  
Walecka Model

In the context of infinite nuclear matter, the equation of states obtained from the Walecka model turn out to be the same as those constructed from point-coupling models in which the nucleons interact with each other only when they are in contact.1 Nonlinear point-coupling models have been applied sucessfully to describe infinite nuclear matter and finite nuclei spectra properties.2 A theoretical support for this was presented on the basis of naturalness and naive dimensional analysis.3 For the usual linear Walecka model the infinite meson masses limit leads to a point-coupling model. From this, a quite natural question arises, whether the same kind of masses limit taken in a nonlinear Walecka model would provide a point-coupling model. We construct a modified nonlinear Walecka model Lagrangian in which the infinite meson masses limit can be taken exactly and leads to the contact nonlinear model. This modified nonlinear Walecka model includes higher order couplings. Although the modified and the nonlinear Walecka model at a mean field approach lead to distinct equations of state, the physically relevant content of the models are the same.

NUCLEAR MATTER AND PROTON HALO NUCLEI IN A CHIRAL HADRONIC MODEL

2004 ◽  
Vol 19 (32) ◽  
pp. 2437-2443 ◽  
Author(s):  
HUA GUO ◽  
YINHUA LIANG ◽  
XIGUO LI ◽  
YUXIN LIU ◽  
BO LIU
Keyword(s):  
Nuclear Matter ◽  
Binding Energies ◽  
Halo Nuclei ◽  
Vector Potentials ◽  
Walecka Model ◽  
Hadronic Model ◽  
Proton Halo

The results for the nuclear-matter properties in a chiral hadronic model have been compared with those in the nonlinear Walecka model. It has been found that the scalar and the vector potentials and binding energies per nucleon for nuclear matter in the chiral hadronic model are very close to those of the RBHF. Two-proton halo in 27 S and one-proton halo in 26 P are predicted when the chiral hadronic model is extended to study proton halos in light proton-rich nuclei. Comparison between the results obtained in the chiral hadronic model and in the nonlinear Walecka model has been made, it has been shown that the chiral hadronic model can also be used to describe the properties of light proton-rich nuclei.

scholarly journals THE CJT CALCULATION IN STUDYING NUCLEAR MATTER BEYOND MEAN FIELD APPROXIMATION

2008 ◽  
Vol 23 (21) ◽  
pp. 1769-1780 ◽  
Author(s):  
SONG SHU ◽  
JIA-RONG LI
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Chemical Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Medium Effects ◽  
Effective Masses ◽  
Walecka Model

We have introduced the Cornwall–Jackiw–Tomboulis (CJT) resummation scheme in studying nuclear matter. Based on the CJT formalism and using Walecka model, we have derived a set of coupled Dyson equations of nucleons and mesons. Neglecting the medium effects of the mesons, the usual mean field theory (MFT) results can be obtained. The beyond MFT calculations have been performed by thermodynamic consistently determining the meson effective masses and solving the coupled gap equations for nucleons and mesons together. The numerical results for the nucleon and meson effective masses at finite temperature and chemical potential in nuclear matter are discussed.

IMPORTANCE OF THE π-FIELD IN THE RELATIVISTIC MEAN FIELD THEORY FOR NUCLEAR MATTER

1995 ◽  
Vol 10 (37) ◽  
pp. 2809-2818 ◽  
Author(s):  
QI-REN ZHANG ◽  
WALTER GREINER
Keyword(s):  
Field Theory ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Nuclear Equation Of State ◽  
Walecka Model

We generalize the Walecka model for nuclear matter by including the π-field. It is found that a finite mean π-field may lower the energy per nucleon even in the nuclear matter of subnormal density. A mean π-field may significantly change the nuclear equation of state. The importance of considering the π-field in the relativistic mean field theory for nuclear matter is therefore emphasized.

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