Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei

Luo Shuanqun; Wang Zhengxing

Chinese Physics C> 1995, Vol. 19> Issue(3) : 278-283

Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei

Luo Shuanqun ^, ,
Wang Zhengxing

Department of Technical Physics, Peking University, Beijing 100871

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Abstract：
The surface energy coefficient of nuclear matter σ(T,δ) as a function of temperature T and nuclear asymmetry δ is calculated for the semi-infinite model of nuclear matter, using the temperature-dependent Thomas-Fermi statistical model theory with the Seyler-Blanchard momentum-dependent nonlocal interaction. It was found that the surface energy coefficient can be written approximately as σ(T,δ)=σ₀(T)[1+K(T)δ²], where the σ₀(T) and K(T) can be fitted as quadratic functions of the temperature T.

References

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D.G.Ravenhall,C.J.Pethick,andJ.M.Lattimer,Nucl.Phys.,A407（1983）571.[2]J.M.Lattimer,C.J.Pethick,D.G.Ravenhall and D.Q.Lamb,Nucl.Phys.,A432（1985）646.[3]R.D.Williams and S.E.Koonin,Nucl.Phys.,A435（1985）844.[4]C.S.Wang and W.D.Myers,Nucl.Phys.,A455（1990）225.[5]C.S.WangandD.Z.Zhang,Phys.Rev.,C40（1989）2881.[6]Cheng-ShingWang,Commun.in Theor.Phys.（Beijing,China）,9（1988）161.[7]R.G.SeylerandC.H.Blanchard,Phys.Rev.,124（1961）227;Phys.Rev.,131（1963）355.[8]Cheng-ShingWang,Phys.Rev.,C45（1992）1084.[9]E.C.Stoner,Phil.Mag.,28（1939）257.[10]W.D.MyersandW.J.Swiatecki,Ann.Phys.（N.Y）.55（1969）395.[11]H.vonGroote,Proc.3rdInt.Conf.on nuclei far from stability,ed.R.Klapisch,CERN76-13（1976）,p.595.[12]W.D.Myers,W.J.SwiateckiandC.S.Wang,Nucl.Phys.,A436（1985）185.[13]Cheng-ShingWangandWilliamD.Myers,Commun.inTheor.Phys.（Beijing,China）,8（1987）397.[14]Cheng-ShingWang,Commun.in Theor.Phys.（Beijing,China）,8（1987）187.[15]W.D.MyersandW.J.Swiatecki,Ann.Phys.（N.Y.）,204（1990）401.

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Luo Shuanqun and Wang Zhengxing. Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei[J]. Chinese Physics C, 1995, 19(3): 278-283.

Luo Shuanqun and Wang Zhengxing. Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei[J]. Chinese Physics C, 1995, 19(3): 278-283. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei

Luo Shuanqun ^,
Wang Zhengxing

Corresponding author: Luo Shuanqun,

Department of Technical Physics, Peking University, Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-03-05

Abstract: The surface energy coefficient of nuclear matter σ(T,δ) as a function of temperature T and nuclear asymmetry δ is calculated for the semi-infinite model of nuclear matter, using the temperature-dependent Thomas-Fermi statistical model theory with the Seyler-Blanchard momentum-dependent nonlocal interaction. It was found that the surface energy coefficient can be written approximately as σ(T,δ)=σ₀(T)[1+K(T)δ²], where the σ₀(T) and K(T) can be fitted as quadratic functions of the temperature T.