scholarly journals Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Lie-Wen Chen
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Mass Formula ◽  
Energy Coefficient

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.

ISOVECTOR AND SPIN-ISOVECTOR SYMMETRY ENERGIES FROM POLARIZABILITIES

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1585-1591
Author(s):  
FÁBIO L. BRAGHIN
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Momentum Dependence ◽  
Momentum Exchange ◽  
Energy Formula ◽  
Energy Coefficient ◽  
Complete Account

The momentum dependence of the nuclear matter isovector symmetry energy coefficient [Formula: see text] is presented in the framework of the nuclear matter polarizability with Skyrme interactions, as worked out in Refs. 1, 2. A slightly more complete account is presented for the spin-isovector symmetry energy [Formula: see text] as function of the temperature and momentum exchange and it is found to have a quite similar behavior to the isovector one [Formula: see text]. The variation of [Formula: see text] with temperature is quite soft and decreasing whereas the dependence on exchanged momentum can make [Formula: see text] to be close to zero, although it does not reach negative values.

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].

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.

scholarly journals Nuclear matter symmetry energy at0.03⩽ρ/ρ0⩽0.2

2012 ◽  
Vol 85 (6) ◽  
Author(s):  
R. Wada ◽  
K. Hagel ◽  
L. Qin ◽  
J. B. Natowitz ◽  
Y. G. Ma ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy
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