Infinite nuclear matter characteristics of the finite nuclei within relativistic mean-field formalism

2019 ◽  
Vol 340 (1-3) ◽  
pp. 194-198
Author(s):  
M. Bhuyan ◽  
S. K. Patra ◽  
B. V. Carlson
Keyword(s):  
Nuclear Matter ◽  
Mean Field ◽  
Relativistic Mean Field ◽  
Field Formalism ◽  
Finite Nuclei

Nuclear matter properties of finite nuclei using relativistic mean field formalism

2020 ◽  
Vol 1004 ◽  
pp. 122042
Author(s):  
S.K. Biswal ◽  
M.K.Abu El Sheikh ◽  
N. Biswal ◽  
N. Yusof ◽  
H.A. Kassim ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Mean Field ◽  
Relativistic Mean Field ◽  
Field Formalism ◽  
Finite Nuclei

A bridge between finite and infinite Nuclear matter

2020 ◽  
Author(s):  
S.K. Biswal ◽  
S.K. Singh ◽  
M. Bhuyan ◽  
R.N. Panda ◽  
S.K. Patra
Keyword(s):  
Nuclear Matter ◽  
Mean Field ◽  
Finite Nucleus ◽  
Thomas Fermi ◽  
Relativistic Mean Field ◽  
Nuclear Matter Density ◽  
Matter System ◽  
The Mean ◽  
Field Formalism ◽  
Finite Nuclei

The bridge between finite and infinite nuclear system is analyzed for the fundamental quantities such as binding energy, incompressibility and giant monopole excitation energy using relativistic mean-field formalism. The well known Thomas-Fermi, extended Thomas-Fermi and Hartree approximations are used to evaluate the observables. A parametric form of the density is used to convert the infinite nuclear matter density to the mean density of a finite nucleus. The present analysis shows an estimation of finite nucleus properties from information of the corresponding infinite nuclear matter quantities only approximately. In other words, it is not quite obvious to get the observables of finite nuclei by converting the corresponding entities of the nuclear matter system or vice versa. If at all one can achieved, it can be done only approximately.

ELECTROMAGNETIC AND ISOVECTOR TERMS IN STANDARD RELATIVISTIC MEAN FIELD MODEL

2011 ◽  
Vol 20 (09) ◽  
pp. 1983-2010 ◽  
Author(s):  
A. SULAKSONO
Keyword(s):  
Nuclear Matter ◽  
Field Model ◽  
Local Density ◽  
Mean Field ◽  
Binding Energies ◽  
Particle Spectrum ◽  
Mean Field Model ◽  
Density Dependent ◽  
Relativistic Mean Field ◽  
Finite Nuclei

The effects of auxiliary contribution in forms of electromagnetic tensors and relativistic electromagnetic exchange in local density approximation as well as δ meson and isovector density-dependent nonlinear terms in standard relativistic mean field model constrained by nuclear matter stability criteria in some selected finite nuclei and nuclear matter properties are studied. It is found that in the case of finite nuclei, the electromagnetic tensors play the most dominant part compared to other auxiliary terms. Due to the presence of electromagnetic tensors, the binding energies prediction of the model can be improved quite significantly. However, these terms do not yield demanded effects for rms radii prediction. In the case of nuclear matter properties, the isovector density-dependent nonlinear term plays the most crucial role in providing predictions which are quite compatible with experimental constraints. We have also shown these auxiliary contributions are indeed unable to improve the single particle spectrum results of the model.

scholarly journals Recent Progress in Quantum Hadrodynamics

1997 ◽  
Vol 06 (04) ◽  
pp. 515-631 ◽  
Author(s):  
Brian D. Serot ◽  
John Dirk Walecka
Keyword(s):  
Nuclear Matter ◽  
Lagrangian Density ◽  
Recent Progress ◽  
Body Problem ◽  
Transport Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Many Body ◽  
Relativistic Mean Field ◽  
Finite Nuclei

Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

CONSTRAINING THE DENSITY DEPENDENCE OF THE SYMMETRY ENERGY WITH NUCLEAR STRUCTURE PROPERTIES

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1720-1726
Author(s):  
WEI-ZHOU JIANG
Keyword(s):  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Finite Nuclei ◽  
The Relationship ◽  
Structure Properties

In this work, we review a few structural properties in finite nuclei and nuclear matter that are sensitive to differences in the symmetry energy, and discuss mechanisms that can enhance the sensitivity to differences in the symmetry energy with the relativistic mean-field model. Emphasis has been placed on the establishment of the relationship between the deexcitation energy of superdeformed secondary minima and the density dependence of the symmetry energy.

Symmetry energy and neutron pressure of finite nuclei using the relativistic mean‐field formalism

2021 ◽  
Author(s):  
Nibedita Biswal ◽  
M. K Abu El Sheikh ◽  
Deepanjali Behera ◽  
Subrat Kumar Biswal ◽  
Suresh Kumar Patra ◽  
...  
Keyword(s):  
Symmetry Energy ◽  
Mean Field ◽  
Relativistic Mean Field ◽  
Field Formalism ◽  
Finite Nuclei

INSTABILITIES CONSTRAINT AND RELATIVISTIC MEAN FIELD PARAMETRIZATION

2011 ◽  
Vol 20 (01) ◽  
pp. 81-100 ◽  
Author(s):  
A. SULAKSONO ◽  
KASMUDIN ◽  
T. J. BÜRVENICH ◽  
P.-G. REINHARD ◽  
J. A. MARUHN
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Nonlinear Term ◽  
Mean Field ◽  
Saturation Point ◽  
Relativistic Mean Field ◽  
Finite Nuclei ◽  
Two Parameter ◽  
Rmf Model

Two parameter sets (Set 1 and Set 2) of the standard relativistic mean field (RMF) model plus additional vector isoscalar nonlinear term, which are constrained by a set of criteria20 determined by symmetric nuclear matter stabilities at high densities due to longitudinal and transversal particle–hole excitation modes are investigated. In the latter parameter set, δ meson and isoscalar as well as isovector tensor contributions are included. The effects in selected finite nuclei and nuclear matter properties predicted by both parameter sets are systematically studied and compared with the ones predicted by well-known RMF parameter sets. The vector isoscalar nonlinear term addition and instability constraints have reasonably good effects in the high-density properties of the isoscalar sector of nuclear matter and certain finite nuclei properties. However, even though the δ meson and isovector tensor are included, the incompatibility with the constraints from some experimental data in certain nuclear properties at saturation point and the excessive stiffness of the isovector nuclear matter equation of state at high densities as well as the incorrect isotonic trend in binding the energies of finite nuclei are still encountered. It is shown that the problem may be remedied if we introduce additional nonlinear terms not only in the isovector but also in the isoscalar vectors.

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