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Single-nucleon potential decomposition of the nuclear symmetry energy

2011/12/31 by Rong Chen, Bao-Jun Cai, Lie-Wen Chen +3 · 1 citation
Physics and Astronomy · #nucl-th #astro-ph.SR #nucl-ex

paper · pdf · doi:10.1103/physrevc.85.024305

published as Phys.Rev.C85:024305,2012 · 16 pages, 13 figures, 1 big table. Results of BSk14-17, Rsigma-fit, and Gsigma-fit in the big table updated, typos fixed. Published version in PRC

arxiv created 2012/03/24 · arxiv updated 2012/03/27

Abstract

The nuclear symmetry energy Esym(ρ) and its density slope L(ρ) can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction models which have been extensively used in nuclear structure and reaction studies, namely, the isospin and momentum dependent MDI interaction model, the Skyrme Hartree-Fock approach and the Gogny Hartree-Fock approach, we analyze the contribution of different terms in the single-nucleon potential to the Esym(ρ) and L(ρ). Our results show that the observed different density behaviors of Esym(ρ) for different interactions are essentially due to the variation of the symmetry potential Usym,1(ρ,k). Furthermore, we find that the contribution of the second-order symmetry potential Usym,2(ρ,k) to the L(ρ) generally cannot be neglected. Moreover, our results demonstrate that the magnitude of the Usym,2(ρ,k) is generally comparable with that of Usym,1(ρ,k), indicating the second-order symmetry potential Usym,2(ρ,k) may have significant corrections to the widely used Lane approximation to the single-nucleon potential in extremely neutron(proton)-rich nuclear matter.

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