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Prog. Theor. Phys. Vol. 109 No. 4 (2003) pp. 631-650

[ Full Text PDF : FREE ACCESS (626K) ]

Saturation of Nuclear Matter and Radii of Unstable Nuclei

Kazuhiro Oyamatsu1,2 and Kei Iida1

1Department of Media Production and Theories, Aichi Shukutoku University, Nagakute-cho, Aichi 480-1197, Japan
2The Institute of Physical and Chemical Research (RIKEN), Wako 351-0198, Japan

(Received September 4, 2002)

Abstract:

We systematically examine relations among the parameters characterizing the phenomenological equation of state (EOS) of nearly symmetric, uniform nuclear matter near the saturation density by comparing macroscopic calculations of radii and masses of stable nuclei with experimental data. The EOS parameters of interest here are the symmetry energy coefficient S0, the symmetry energy density derivative coefficient L and the incompressibility K0 at normal nuclear density. We estimate a range of (K0, L) from empirically reasonable values of the slope of the saturation line (the line joining the saturation points of nuclear matter at finite neutron excess) and find a strong correlation between S0 and L. In light of the uncertainties on the values of K0 and L, we perform macroscopic calculations of the radii of unstable nuclei expected to be produced in future facilities. We find that the matter radii depend appreciably on L, while being almost independent of K0. This dependence implies that if the matter radii are measured with an accuracy of ±0.01 fm for a sufficiently large number of neutron-rich nuclides to allow one to smooth out the expected staggering of the radii due to shell and pairing effects, it might be possible to derive the value of L within ±20 MeV.


URL : http://ptp.ipap.jp/link?PTP/109/631/
DOI : 10.1143/PTP.109.631

[ Full Text PDF : FREE ACCESS (626K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 76 (2007) 044201 (6 pages) :
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    Kei Iida, Akihisa Kohama, and Kazuhiro Oyamatsu
  2. Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 673-691 :
    Nonuniform Matter in Neutron Star Crusts Studied by the Variational Method with Thomas-Fermi Calculations
    Hiroaki Kanzawa, Masatoshi Takano, Kazuhiro Oyamatsu and Kohsuke Sumiyoshi
  3. Progress of Theoretical Physics Vol. 126 No. 6 (2011) pp. 1091-1100 :
    Proton-Nucleus Total Reaction Cross Sections in the Optical Limit Glauber Theory
    Kei Iida, Kazuhiro Oyamatsu, Badawy Abu-Ibrahim and Akihisa Kohama
  4. Progress of Theoretical Physics Supplement No.156 (2004) pp. 137-138 :
    Equation of State of Nuclear Matter, Neutron Rich Nuclei in Laboratories and Pasta Nuclei in Neutron Star Crusts
    Kazuhiro Oyamatsu and Kei Iida
  5. Progress of Theoretical Physics Supplement No.156 (2004) pp. 139-140 :
    Deducing the Density Dependence of the Symmetry Energy from Unstable Nuclei
    Kei Iida, Kazuhiro Oyamatsu and Badawy Abu-Ibrahim
  6. Progress of Theoretical Physics Supplement No.156 (2004) pp. 141-142 :
    Variational Calculations for the Equation of State of Asymmetric Nuclear Matter
    Masatoshi Takano
  7. Progress of Theoretical Physics Supplement No.156 (2004) pp. 143-144 :
    Determination of Matter Surface Distribution of Neutron-Rich Nuclei and Effect of “Outer Surface”
    Akihisa Kohama
  8. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 39-44 :
    Phenomenological Approach to Nuclei and Nuclear Matter
    Kazuhiro Oyamatsu

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