Density and Temperature Depdendent Symmetry Energy

Chen Liewen; Zhang Fengshou

Chinese Physics C> 1999, Vol. 23> Issue(12) : 1197-1202

Density and Temperature Depdendent Symmetry Energy

Chen Liewen ^, ,
Zhang Fengshou

Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 7300002 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 7300003 CCAST World Laboratory,Beijing100080

Abstract
HTML
Reference
Related

PDF

Abstract：
Within the framework of Hartree-Fock theory by using the extended Skyrme effective interaction, the density dependence of symmetry energy is derived analytically with parabolic approximation at zero-crmperature. It is shown that the parabolic approximahon is applicable within a rather large density region and almost for all relative neutron excess. The symmetry energy depends on density terms of ρ^2/3,ρ, ρ^γ+1, ρ^5/3 and ρ^γ5/3. At finite temperatures, the Parabolic approximahon between symmetry energy and relative neutron excess is still appropriate. In addition, the temperature dependence of symmeny energy is predicted. It is found that the symmetry energy decrease with increment of tempendre and the Parabolic law between symmetry energy and temperatUre is satisfied at lower temperatures.

References

[1]

Zhang Fengshou. De Lingxiao. High Energy Phys. and Nucl. Phys. (in Chinese), 1992, 16(7):666–669(张丰收,葛凌霄.高能物理与核物理,1992,16(7):666–669) 2 Zhang Fengshou. Z. Phys., 1996, A356: 163–1703 Zhang Fengshou, Chen Liewen. High Energy Phys. and Nucl.Phys. (in Chinese), 1999, 23(12): 1190–1196(张丰收,陈列文高能物理与核物理,1999,23(12):1190–1196)4 Donati P et al. Phys. Pev. Lett, 1994, 72(18):2835–28385 Jean D J et al. Phys. Lett, 1995, B356:429–4336 Li B A, Ko C M Baner W. Inte. J. Mod. Phys., 1998, E7(2):147–229 7 Ge L X, Zhuo Y Z,Norenberg W. Nucl. Phys., 1986, A459(1):77–92 8 Wiringa R B, Fiks V, Fabrocini A. Phys. Rev., 1988, C38(2):1010–10379 Lattimer J M et al. Phys. Rev. Lett, 1991, 66(21):2701–270410 Siemens P J. Nucl. Phys., 1970, A141(2):225–24811 Lagaris I E, Pandharipande. Nucl. Phys., 1981, A369(3):470–482 12 Baym G, Bethe H A, retheck C J. Nucl. Phys., 1971, A175(2):225–271 13 Thorsson V, Prakash ac Lattimer J M Nucl. Phys., 1994, A572(3/4):693–73114 Prakash M,Ainsworth T L,Lattimer J M. Phys. Rev. Lett, 1988, 61(22):2518–2521 15 Kutschera K Wojcik W. Phys. Rev., 1993, C47(3): 1077–1085

[1]	ZHANG Fang , ZUO Wei , YONG Gao-Chan . Probinhg the High Density Behavior of the Symmetry Energy by Using Proton Elliptic Flow. Chinese Physics C, 2007, 31(8): 741-744.
[2]	CHEN Yue-De , PENG Guang-Xiong , WEN Xin-Jian . Color-Flavor Locked Strange Quark Matter in a Mass Density-Dependent Model. Chinese Physics C, 2007, 31(3): 269-273.
[3]	YONG Gao-Chan , CHEN Lie-Wen , LI Bao-An , ZUO Wei . Pinning down the Density-Dependent Symmetry Energy by Using Double n/p Ratio. Chinese Physics C, 2006, 30(7): 642-645.
[4]	YANG Fang , SHEN Hong . Quark-meson coupling model with a density-dependent bag constant for nuclear matter and finite nuclei. Chinese Physics C, 2006, 30(7): 620-624.
[5]	XU Jun , CHEN Lie-Wen , LI Bao-An , MA Hong-Ru . Temperature Dependence of the Nuclear Symmetry Energy and Symmetry Free Energy. Chinese Physics C, 2006, 30(S2): 265-267.
[6]	ZENG Sheng , LIAN Gang . Temperature Dependence of Electron Screening at Low Energy. Chinese Physics C, 2005, 29(12): 1131-1135.
[7]	ZUO Wei , CHEN Ji-Yan , LI Bao-An , LUO Pei-Yan , Lombardo U . Momentum and Density Dependence of Isospin Symmetry Potential in Asymmetric Nuclear Matter. Chinese Physics C, 2005, 29(9): 881-885.
[8]	LI Jun , BAN Shu-Fang , JIA Huan-Yu , SANG Jian-Ping , MENG Jie . Description of the Nuclear Matter and Neutron Star in Relativistic Mean Field Theory with Density-Dependent Interactions. Chinese Physics C, 2004, 28(2): 140-147.
[9]	LI Qing-Feng , LI Zhu-Xia . Probing Equilibration in HICs and Symmetry Energy by Using Isospin-Related Observables. Chinese Physics C, 2002, 26(9): 926-932.
[10]	Liu Bo , Shen Pengnian , Jiang Huanqing , Chen Hong . Leptonic Decay 0f J/ψ at Finite Temperature and Densities. Chinese Physics C, 1998, 22(12): 1151-1155.
[11]	Sun Xiuquan , Zhang Zhengjun , Zhang Jianshu , Han Yinlu , Shen Qingbiao . Dependence of the Nucleon Mean Free Path and Relativistic Microscopic Optical Potential on Temperature and Density in the Relativistic Model. Chinese Physics C, 1998, 22(10): 920-927.
[12]	Dai Guangxi . Deformation Potentials in Symmetric Multi-Fold Fission and Their Temperature-Dependence. Chinese Physics C, 1995, 19(5): 447-454.
[13]	HAN Yin-Lu , SHEN Qing-Biao , ZHUO Yi-Zhong . Temperature Dependent Relativistic Microscopic Optical Potential and Mean Free Paths of Nucleons. Chinese Physics C, 1993, 17(6): 568-576.
[14]	QIAN Zhi-Xin , ZHONG Wan-Heng , SU Ru-Keng . Yukawa Potential at Finite Temperature and Finite Density. Chinese Physics C, 1993, 17(5): 417-422.
[15]	MIN De-Fen , NING Ping-Zhi , LI Qing-Run , JINAG Shao-Zhou , WU Xiu-Wen , CHEN Xia-Xian . K⁺-Nucleus Scattering and Nonlinear Densitydependent Correction. Chinese Physics C, 1993, 17(5): 462-468.
[16]	WANG En-Ke , LI Jia-Rong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(4): 344-351.
[17]	LI Fu-Bin . Construction of the Creation-Annihilation Operators for the Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics. Chinese Physics C, 1992, 16(6): 505-509.
[18]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[19]	LI Ming , SONG Hong-Qiu . The Temperature Dependence of Giant Resonances in High-Excited Nucleus. Chinese Physics C, 1991, 15(2): 140-149.
[20]	WANG En-Ke , LI Jia-Rong . CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY. Chinese Physics C, 1990, 14(11): 980-990.

Access

Get Citation

Chen Liewen and Zhang Fengshou. Density and Temperature Depdendent Symmetry Energy[J]. Chinese Physics C, 1999, 23(12): 1197-1202.

Chen Liewen and Zhang Fengshou. Density and Temperature Depdendent Symmetry Energy[J]. Chinese Physics C, 1999, 23(12): 1197-1202. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-10-26
Revised: 1900-01-01

Article Metric

Article Views(2984)
PDF Downloads(577)
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

Density and Temperature Depdendent Symmetry Energy

Corresponding author: Chen Liewen,

Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 7300002 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 7300003 CCAST World Laboratory,Beijing100080

Received Date: 1998-10-26

Accepted Date: 1900-01-01

Available Online: 1999-12-05

Abstract: Within the framework of Hartree-Fock theory by using the extended Skyrme effective interaction, the density dependence of symmetry energy is derived analytically with parabolic approximation at zero-crmperature. It is shown that the parabolic approximahon is applicable within a rather large density region and almost for all relative neutron excess. The symmetry energy depends on density terms of ρ^2/3,ρ, ρ^γ+1, ρ^5/3 and ρ^γ5/3. At finite temperatures, the Parabolic approximahon between symmetry energy and relative neutron excess is still appropriate. In addition, the temperature dependence of symmeny energy is predicted. It is found that the symmetry energy decrease with increment of tempendre and the Parabolic law between symmetry energy and temperatUre is satisfied at lower temperatures.

HTML

Reference (1)

Density and Temperature Depdendent Symmetry Energy

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article