scholarly journals Origin of symmetry energy in finite nuclei and density dependence of nuclear matter symmetry energy from measuredα-decay energies

2013 ◽  
Vol 87 (1) ◽  
Author(s):  
Jianmin Dong ◽  
Wei Zuo ◽  
Jianzhong Gu
Keyword(s):  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Finite Nuclei

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.

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.

scholarly journals On Phase Transitions of Nuclear Matter in the Nambu-Jona-Lasinio Model

2011 ◽  
Vol 21 (2) ◽  
pp. 117
Author(s):  
Tran Huu Phat ◽  
Le Viet Hoa ◽  
Nguyen Van Long ◽  
Nguyen Tuan Anh ◽  
Nguyen Van Thuan
Keyword(s):  
Phase Transitions ◽  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Nuclear Symmetry Energy ◽  
Double Bubble ◽  
Bulk Properties ◽  
Asymmetric Nuclear Matter ◽  
Njl Model ◽  
Good Agreement

Within the Cornwall - Jackiw - Tomboulis (CJT) approach a general formalism is established for the study of asymmetric nuclear matter (ANM) described by the Nambu-Jona-Lasinio (NJL) model. Restricting to the double-bubble approximation (DBA)we determine the bulk properties of ANM, in particular, the density dependence of the nuclear symmetry energy, which is in good agreement with data of recent analyses.

The fourth-order symmetry energy of nuclear matter and symmetry energy coefficients of finite nuclei using extended semi-empirical mass formula

2019 ◽  
Vol 28 (04) ◽  
pp. 1950022 ◽  
Author(s):  
M. Pal ◽  
S. Chakraborty ◽  
B. Sahoo ◽  
S. Sahoo
Keyword(s):  
Nuclear Matter ◽  
Fourth Order ◽  
Symmetry Energy ◽  
Mass Formula ◽  
Effective Interaction ◽  
Nuclear Mass ◽  
Bulk Surface ◽  
Energy Formula ◽  
Finite Nuclei ◽  
Semi Empirical

An extended nuclear mass formula has been used by considering the bulk, surface and coulomb contributions to the nuclear mass. In this mass formula, the fourth-order symmetry energy coefficient [Formula: see text] of finite nuclei and fourth-order symmetry energy [Formula: see text] of nuclear matter (NM) are related explicitly to the characteristic parameters of NM equation of state (EOS) using finite range effective interaction. The calculations are carried out with Yukawa form of exchange interaction having the same range but with different strengths for interaction between like and unlike nucleon. In this extended mass formula, by approximating [Formula: see text] to a constant [Formula: see text] an explicit relation between [Formula: see text] and fourth-order symmetry energy [Formula: see text] is obtained, which provides the possibility to extract information on [Formula: see text].

scholarly journals Nuclear Symmetry Energy in Chiral Model of Nuclear Matter

2012 ◽  
Vol 22 (2) ◽  
pp. 183
Author(s):  
Nguyen Tuan Anh ◽  
Tran Huu Phat ◽  
Dinh Thanh Tam
Keyword(s):  
Physical Properties ◽  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Degrees Of Freedom ◽  
Chiral Model ◽  
Nuclear Symmetry Energy ◽  
Asymmetric Nuclear Matter ◽  
Good Agreement

The physical properties of asymmetric nuclear matter are studied in the Extended Nambou-Jona-Lasinio (ENJL) model formulated directly in the nucleon degrees of freedom. It results that the density dependence of the nuclear symmetry energy and its related quantities are basically in good agreement with data of recent analyses.

scholarly journals THE SYMMETRY ENERGY IN NUCLEI AND IN NUCLEAR MATTER

2006 ◽  
Vol 15 (07) ◽  
pp. 1371-1383 ◽  
Author(s):  
P. VAN ISACKER ◽  
A. E. L. DIEPERINK
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Ground State ◽  
Neutron Skin ◽  
Strong Correlations ◽  
Saturation Point ◽  
Starting Point ◽  
Finite Nuclei ◽  
Ground State Energies ◽  
Wigner Energy

We discuss to what extent information on ground-state properties of finite nuclei (energies and radii) can be used to obtain constraints on the symmetry energy in nuclear matter and its dependence on the density. The starting point is a generalized Weizsäcker formula for ground-state energies. In particular effects from the Wigner energy and shell structure on the symmetry energy are investigated. Strong correlations in the parameter space prevent a clear isolation of the surface contribution. Use of neutron skin-information improves the situation. We find that inclusion of the Wigner effect leads to a larger value of the symmetry energy of nuclear matter at the saturation point.

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