Chinese Physics C > 2004, Vol. 28 > Issue(3): 284-289

Equation of State of Spin-Polarized Nuclear Matter

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China2 INFN-LNS,44 Via S.Sofia,I-95123 Catania,Italy

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Abstract：
Within the spin-dependent Brueckner-Hartree-Fock framework, the equation of state of the spin-polarized nuclear matter has been investigated by adopting the realistic nucleon-nucleon interaction AV ₁₈supplemented with a microscopic three-body force. The related physical quantities such as the Landau parameters G ₀in spin channel and G′ ₀in spin-isospin channel, have been calculated. The three-body force effects have been studied and stressed with a special attention. It is shown that in the Brueckner-Hartree-Fock framework the predicted energy per particle of spin-polarized nuclear matter versus the neutron and proton spin-polarization parameters fulfills a quadratic law in the whole range of spin-polarization. At the empirical saturation density, the calculated Landau parameter G′ ₀is 1.22 and 1.28 respectively for the two-cases with and without including the three-body force, both are in agreement with its experimental value. Both the Landau parameters G ₀and G′ ₀are positive in the density region up to ρ=0.5fm ^－3and increase monotonically as increasing density so that no any evidence is found for a spontaneous transition to a ferromagnetic state in nuclear matter. The three-body force effect is to strongly increase the Landau parameters G ₀and G′ ₀at high densities, making the nuclear matter at high densities more stable against spin and spin-isospin fluctuations. The obtained Landau parameters G ₀and G′ ₀together with their density dependences may serve as constraints on the spin-spin parts and spin-isospin dependent parts of the phenomenological Skyrme and Skyrme-like interactions.

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ZUO Wei, Lombardo U, SHEN Cai-Wan, LIU Jian-Ye and LI Jun-Qing. Equation of State of Spin-Polarized Nuclear Matter[J]. Chinese Physics C, 2004, 28(3): 284-289.

ZUO Wei, Lombardo U, SHEN Cai-Wan, LIU Jian-Ye and LI Jun-Qing. Equation of State of Spin-Polarized Nuclear Matter[J]. Chinese Physics C, 2004, 28(3): 284-289. shu

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Received: 2003-05-26
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

Equation of State of Spin-Polarized Nuclear Matter

Corresponding author:ZUO Wei,

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China2 INFN-LNS,44 Via S.Sofia,I-95123 Catania,Italy

Received Date:2003-05-26

Accepted Date:1900-01-01

Available Online:2004-03-05

Abstract:Within the spin-dependent Brueckner-Hartree-Fock framework, the equation of state of the spin-polarized nuclear matter has been investigated by adopting the realistic nucleon-nucleon interaction AV₁₈supplemented with a microscopic three-body force. The related physical quantities such as the Landau parameters G₀in spin channel and G′₀in spin-isospin channel, have been calculated. The three-body force effects have been studied and stressed with a special attention. It is shown that in the Brueckner-Hartree-Fock framework the predicted energy per particle of spin-polarized nuclear matter versus the neutron and proton spin-polarization parameters fulfills a quadratic law in the whole range of spin-polarization. At the empirical saturation density, the calculated Landau parameter G′₀is 1.22 and 1.28 respectively for the two-cases with and without including the three-body force, both are in agreement with its experimental value. Both the Landau parameters G₀and G′₀are positive in the density region up to ρ=0.5fm^－3and increase monotonically as increasing density so that no any evidence is found for a spontaneous transition to a ferromagnetic state in nuclear matter. The three-body force effect is to strongly increase the Landau parameters G₀and G′₀at high densities, making the nuclear matter at high densities more stable against spin and spin-isospin fluctuations. The obtained Landau parameters G₀and G′₀together with their density dependences may serve as constraints on the spin-spin parts and spin-isospin dependent parts of the phenomenological Skyrme and Skyrme-like interactions.

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Equation of State of Spin-Polarized Nuclear Matter

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