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

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044308· OSTI ID:21499559

Liewen, Chen ^[1]

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1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China) and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 (China)

Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient a{sub sym}(A) in the semiempirical mass formula and the nuclear matter symmetry energy E{sub sym}({rho}{sub A}) at a subsaturation reference density {rho}{sub A} can be determined essentially by the symmetry energy E{sub sym}({rho}{sub 0}) and its density slope L at saturation density {rho}{sub 0}. Meanwhile, we find the dependence of a{sub sym}(A) on E{sub sym}({rho}{sub 0}) or L is approximately linear and very similar to the corresponding linear dependence displayed by E{sub sym}({rho}{sub A}), providing an explanation for the relation E{sub sym}({rho}{sub A}){approx_equal}a{sub sym}(A).Our results indicate that a value of E{sub sym}({rho}{sub A}) leads to a linear correlation between E{sub sym}({rho}{sub 0}) and L and thus can put important constraints on E{sub sym}({rho}{sub 0}) and L. Particularly, the values of E{sub sym}({rho}{sub 0})=30.5{+-}3 MeV and L= 52.5{+-}20 MeV are simultaneously obtained by combining the constraints from recently extracted E{sub sym}({rho}{sub A}=0.1 fm{sup -3}) with those from recent analyses of neutron skin thickness of Sn isotopes in the same SHF approach.

• OSTI ID: 21499559
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BARYONS
CALCULATION METHODS
CORRELATIONS
DENSITY
DIMENSIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
HADRONS
HARTREE-FOCK METHOD
ISOTOPES
MASS FORMULAE
MASS NUMBER
MATTER
MEV RANGE
MEV RANGE 10-100
NEUTRONS
NUCLEAR MATTER
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PHYSICAL PROPERTIES
POTENTIALS
SATURATION
SKYRME POTENTIAL
SYMMETRY
THICKNESS
TIN ISOTOPES