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

Abstract
HTML
Reference
Related

PDF

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

[1]

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.

[1]	Andrea Addazi , Stephon Alexander , Yi-Fu Cai , Antonino Marcianó . Dark matter and baryogenesis in the Fermi-bounce curvaton mechanism. Chinese Physics C, 2018, 42(6): 065101. doi: 10.1088/1674-1137/42/6/065101
[2]	Ya-Fei Guo , Peng-Hui Chen , Fei Niu , Zhao-Qing Feng . Isospin effect in peripheral heavy-ion collisions at Fermi energies. Chinese Physics C, 2018, 42(12): 124106. doi: 10.1088/1674-1137/42/12/124106
[3]	Peng Yin , Jianmin Dong , Wei Zuo . Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102
[4]	LI Cheng , TIAN Jun-Long , QIN Yu-Jiao , LI Jing-Jing , WANG Ning . Determination of the nucleon-nucleon interaction in the ImQMD model by nuclear reactions at the Fermi energy region. Chinese Physics C, 2013, 37(11): 114101. doi: 10.1088/1674-1137/37/11/114101
[5]	WANG Hai-Jun , ZHANG Wei-Ning , Yin Wong , . Meson spectra governed by the Fermi-Breit potential. Chinese Physics C, 2009, 33(3): 170-176. doi: 10.1088/1674-1137/33/3/002
[6]	GAO Zao-Cun , SUN Yang , CHEN Yong-Shou . Beta Decay Theory in the Projected Shell Model. Chinese Physics C, 2006, 30(S2): 65-67.
[7]	ZHI Qi-Jun , REN Zhong-Zhou . Systematic Calculation on Ground State Properties of Superheavy Even-Even Nuclei with Macroscopic-Microscopic Model. Chinese Physics C, 2006, 30(1): 32-37.
[8]	BAI Hong-Bo , ZHANG Jin-Fu , ZHOU Xian-Rong . Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM. Chinese Physics C, 2005, 29(8): 752-756.
[9]	CHENG Nan-Pu , ZHENG Ren-Rong , ZHU Shun-Quan . Quasiparticles Plus Rotor Model and the Analysisof Level Statistics of Odd-Odd Nucleus. Chinese Physics C, 2001, 25(8): 736-742.
[10]	GUO Hua . Nuclear Surface Properties and Spin-Orbit Potential in Modified Derivative Scalar Couplings. Chinese Physics C, 2000, 24(11): 1030-1037.
[11]	Xu Chunxian , Dai Hongyue . A Statistic Model for Galactic Cosmic Rays. Chinese Physics C, 1997, 21(6): 486-493.
[12]	An Yu , Hu Jimin . A New Form of Nuclear Densities Suitable for Applications of Extended Thomas-Fermi Approximation. Chinese Physics C, 1996, 20(4): 324-331.
[13]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[14]	Zuo Wei , Ge Lingxiao , Zhang Fengshou . Dynamics of Heavy Ion Collisions in the Fermi Domain (III) Multifragmentation and Limiting Excitation Energy. Chinese Physics C, 1993, 17(S3): 277-283.
[15]	ZHU Chao-Yuan , QIU Xi-Jun . DERIVING A FORMULA FOR NUCLEAR RADII IN THE RELATIVISTIC THOMAS-FERMI APPROXIMATION. Chinese Physics C, 1990, 14(12): 1126-1129.
[16]	LI Zi-Bang , PENG Hong-An . STATISTICAL MODEL OF PARTONS IN NUCLEON,EMC EFFECT AND GLUE DISTRIBUTION FUNCTIONS OF NUCLEON. Chinese Physics C, 1988, 12(1): 55-62.
[17]	WANG CHENG-SHING . NON-EQUILIBRIUM STATISTICAL THEORY OF NUCLEAR FISSION MASS DISTRIBUTION. Chinese Physics C, 1982, 6(2): 219-230.
[18]	PAN JI-ZHI , WANG WEI-WEI , ZHAO WEI-QIN , BAO CHENG-GUANG . SCATTERING AMPLITUDE WITH LARGE MOMENTUM TRANSFER CALCULATED FROM THE BAKAMJIAN-THOMAS EQUATION AND THE REPULSIVE CORE OF NUCLEAR FORCE. Chinese Physics C, 1981, 5(4): 465-471.
[19]	Qiu Xi-jun , Song Hong-qiu , Huang Wei-zhi , Wang Zi-xing . A MODEL OF FISSION. Chinese Physics C, 1980, 4(5): 680-682.
[20]	WANG CHENG-CHIH . ON MESON RATIOS IN MULTIPARTICLE PRODUCTION AT HIGH ENERGY——A STATISTICAL QUARK MODEL. Chinese Physics C, 1979, 3(1): 122-126.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2759)
PDF Downloads(524)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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.