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.

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 CONSTRAINING THE SKYRME EFFECTIVE INTERACTIONS AND THE NEUTRON SKIN THICKNESS OF NUCLEI USING ISOSPIN DIFFUSION DATA FROM HEAVY ION COLLISIONS

2006 ◽  
Vol 15 (07) ◽  
pp. 1385-1395 ◽  
Author(s):  
LIE-WEN CHEN ◽  
CHE MING KO ◽  
BAO-AN LI
Keyword(s):  
Symmetry Energy ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Recent Analysis ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Effective Interactions ◽  
Diffusion Data ◽  
Ion Collisions ◽  
Neutron Skin Thickness

Recent analysis of the isospin diffusion data from heavy-ion collisions based on an isospin- and momentum-dependent transport model with in-medium nucleon-nucleon cross sections has led to the extraction of a value of L = 88 ± 25 MeV for the slope of the nuclear symmetry energy at saturation density. This imposes stringent constraints on both the parameters in the Skyrme effective interactions and the neutron skin thickness of heavy nuclei. Among the 21 sets of Skyrme interactions commonly used in nuclear structure studies, the 4 sets SIV, SV, Gσ, and Rσ are found to give L values that are consistent with the extracted one. Further study on the correlations between the thickness of the neutron skin in finite nuclei and the nuclear matter symmetry energy in the Skyrme Hartree-Fock approach leads to predicted thickness of the neutron skin of 0.22 ± 0.04 fm for 208 Pb , 0.29 ± 0.04 fm for 132 Sn , and 0.22 ± 0.04 fm for 124 Sn .

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