scholarly journals Nuclear Symmetry Energy Effects on the Bulk Properties of Neutron-rich Finite Nuclei

2020 ◽  
Vol 27 ◽  
pp. 91
Author(s):  
Manolis Divaris ◽  
Charalampos Moustakidis
Keyword(s):  
Symmetry Energy ◽  
Dominant Role ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Nuclear Symmetry Energy ◽  
Heavy Nuclei ◽  
Isospin Asymmetry ◽  
Asymmetry Function ◽  
Finite Nuclei ◽  
Dependent Interaction

We systematically study the effect of the nuclear symmetry energy in the basic properties of finite, neutron-rich, heavy nuclei where symmetry energy plays a dominant role. We employ a variational method, in the framework of the Thomas-Fermi approximation, to study the effect of the symmetry energy on the neutron skin thickness and symmetry energy coefficients of various nuclei. The isospin asymmetry function a(r) is directly related to the symmetry energy as a consequence of the variational principle. In addition to this, the Coulomb interaction is included in a self-consistent way. The energy density of the asymmetric nuclear matter that is used, has its origins in a momentum-dependent interaction.

scholarly journals Bootstrap analysis of the correlation between neutron skin thickness and the slope of symmetry energy

2020 ◽  
Vol 29 (07) ◽  
pp. 2050054
Author(s):  
A. Pastore
Keyword(s):  
Symmetry Energy ◽  
Correlation Coefficients ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Density Range ◽  
Density Functionals ◽  
Heavy Nuclei ◽  
Bootstrap Analysis ◽  
Isospin Asymmetry ◽  
Neutron Skin Thickness

This work illustrates the use of bootstrap methods to quantify the statistical uncertainties on the correlation coefficients between the slope of the symmetry energy and the neutron skin thickness in heavy nuclei. By using several energy density functionals, I discuss the density dependence of such a correlation and its evolution with isospin asymmetry. In particular, I observe that the correlation between the slope of the symmetry energy and the neutron skin is present not only at saturation density, but over a much larger density range.

scholarly journals DETERMINING THE DENSITY DEPENDENCE OF THE NUCLEAR SYMMETRY ENERGY USING HEAVY-ION REACTIONS

2008 ◽  
Vol 17 (09) ◽  
pp. 1825-1837 ◽  
Author(s):  
LIE-WEN CHEN ◽  
CHE MING KO ◽  
BAO-AN LI ◽  
GAO-CHAN YONG
Keyword(s):  
Symmetry Energy ◽  
Heavy Ion ◽  
High Energy ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Nuclear Symmetry Energy ◽  
Heavy Nuclei ◽  
Heavy Ion Reactions ◽  
Ion Collisions ◽  
Density Behavior

We review recent progress in the determination of the subsaturation density behavior of the nuclear symmetry energy from heavy-ion collisions as well as the theoretical progress in probing the high density behavior of the symmetry energy in heavy-ion reactions induced by high energy radioactive beams. We further discuss the implications of these results for the nuclear effective interactions and the neutron skin thickness of heavy nuclei.

Study of the dependence of alpha decay half-life on the surface symmetry energy

2020 ◽  
Vol 29 (09) ◽  
pp. 2050070
Author(s):  
S. Nejati ◽  
O. N. Ghodsi
Keyword(s):  
Symmetry Energy ◽  
Half Life ◽  
Surface Region ◽  
Alpha Decay ◽  
Proton Density ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Mother And Daughter ◽  
Energy Coefficient ◽  
Finite Nuclei

In this study, the effect of the surface symmetry energy on the neutron skin thickness and division of it into the bulk and surface parts are investigated by determination of the symmetry energy coefficient [Formula: see text] of finite nuclei. We demonstrate the importance of the isospin asymmetry distribution in the symmetry energy coefficient of finite nuclei at the surface region. We attempt to find out how different surface symmetry energies may affect alpha decay half-life. The Skyrme interactions are used to describe the neutron and proton density distributions and to calculate the symmetry energy coefficient [Formula: see text] of four nuclei and the surface symmetry energy. The chosen Skyrme interactions can produce the binding energy and root-mean-square charge radii of both mother and daughter nuclei. We single out the spherical isotones of [Formula: see text] named [Formula: see text]Pb, [Formula: see text]Po, [Formula: see text]Rn and [Formula: see text]Ra for daughter nuclei and explore the dependence of the bulk and surface contributions on the surface symmetry energy. The half-life of mother nuclei, i.e., [Formula: see text]Po, [Formula: see text]Rn, [Formula: see text]Ra and [Formula: see text]Th, is employed to investigate the extent to which it is affected by different surface symmetry energies. The calculated half-lives show a downward tendency for different surface symmetry energies which can be caused by various neutron skin thicknesses.

Neutron skin thickness of finite nuclei with finite range effective interaction in droplet model

2018 ◽  
Vol 27 (06) ◽  
pp. 1850049 ◽  
Author(s):  
M. Pal ◽  
S. Chakraborty ◽  
B. Sahoo ◽  
S. Sahoo
Keyword(s):  
Symmetry Energy ◽  
Effective Interaction ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Droplet Model ◽  
Density Region ◽  
Neutron Skin Thickness ◽  
Number Formula ◽  
Energy Formula ◽  
Finite Nuclei

We analyze the relation between the symmetry energy coefficient [Formula: see text] of finite nuclei with mass number [Formula: see text] in the semi-empirical mass formula. The nuclear matter symmetry energy [Formula: see text] at reference density [Formula: see text] in the subsaturation density region can be determined by the symmetry energy [Formula: see text] and its density slope [Formula: see text] at the saturation density [Formula: see text]. From this relation, the neutron skin thickness ‘[Formula: see text]’ in finite nuclei with droplet model are correlated to the various symmetry energy parameters. A prominent role of the bulk symmetry energy [Formula: see text] to the so-called surface stiffness coefficient [Formula: see text] is observed in deriving the size of the neutron skin. Two types of neutron skins are distinguished: the “surface” and the “bulk”. The linear dependence of the neutron skin thickness for different stable nuclei ([Formula: see text]) on the slope [Formula: see text] of the symmetry energy as well as on the relative neutron excess [Formula: see text] is observed. Though the value of the surface width is found to be limited within 0.1[Formula: see text]fm, its contribution should not be neglected to measure neutron skin thickness.

scholarly journals Giant quadrupole resonances in208Pb, the nuclear symmetry energy, and the neutron skin thickness

2013 ◽  
Vol 87 (3) ◽  
Author(s):  
X. Roca-Maza ◽  
M. Brenna ◽  
B. K. Agrawal ◽  
P. F. Bortignon ◽  
G. Colò ◽  
...  
Keyword(s):  
Symmetry Energy ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Nuclear Symmetry Energy ◽  
Neutron Skin Thickness
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