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

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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

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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

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

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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.

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Density and Temperature Depdendent Symmetry Energy

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