Decomposition of the equation of state of asymmetric nuclear matter into different spin-isospin channels

  • We investigate the equation of state of asymmetric nuclear matter and its isospin dependence in various spin-isospin ST channels within the framework of the Brueckner-Hartree-Fock approach extended to include a microscopic three-body force (TBF). It is shown that the potential energy per nucleon in the isospin-singlet T=0 channel is mainly determined by the contribution from the tensor SD coupled channel. At high densities, the TBF effect on the isospin-triplet T=1 channel contribution turns out to be much larger than that on the T =0 channel contribution. At low densities around and below the normal nuclear matter density, the isospin dependence is found to come essentially from the isospin-singlet SD channel and the isospin-triplet T=1 component is almost independent of isospin asymmetry. As the density increases, the T=1 channel contribution becomes sensitive to the isospin asymmetry and at high enough densities its isospin dependence may even become more pronounced than that of the T=0 contribution. The present results may provide some microscopic constraints for improving effective nucleon-nucleon interactions in a nuclear medium and for constructing new functionals of effective nucleon-nucleon interaction based on microscopic many-body theories.

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ZUO Wei, ZHOU Shan-Gui, LI Jun-Qing, ZHAO En-Guang and Scheid W. Decomposition of the equation of state of asymmetric nuclear matter into different spin-isospin channels[J]. Chinese Physics C, 2009, 33(7): 547-551. doi: 10.1088/1674-1137/33/7/008
ZUO Wei, ZHOU Shan-Gui, LI Jun-Qing, ZHAO En-Guang and Scheid W. Decomposition of the equation of state of asymmetric nuclear matter into different spin-isospin channels[J]. Chinese Physics C, 2009, 33(7): 547-551.  doi: 10.1088/1674-1137/33/7/008 shu
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Received: 2008-11-05
Revised: 2008-12-15
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Decomposition of the equation of state of asymmetric nuclear matter into different spin-isospin channels

    Corresponding author: ZUO Wei,

Abstract: 

We investigate the equation of state of asymmetric nuclear matter and its isospin dependence in various spin-isospin ST channels within the framework of the Brueckner-Hartree-Fock approach extended to include a microscopic three-body force (TBF). It is shown that the potential energy per nucleon in the isospin-singlet T=0 channel is mainly determined by the contribution from the tensor SD coupled channel. At high densities, the TBF effect on the isospin-triplet T=1 channel contribution turns out to be much larger than that on the T =0 channel contribution. At low densities around and below the normal nuclear matter density, the isospin dependence is found to come essentially from the isospin-singlet SD channel and the isospin-triplet T=1 component is almost independent of isospin asymmetry. As the density increases, the T=1 channel contribution becomes sensitive to the isospin asymmetry and at high enough densities its isospin dependence may even become more pronounced than that of the T=0 contribution. The present results may provide some microscopic constraints for improving effective nucleon-nucleon interactions in a nuclear medium and for constructing new functionals of effective nucleon-nucleon interaction based on microscopic many-body theories.

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