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Chinese Physics C> 2009, Vol. 33> Issue(8) : 639-644 DOI: 10.1088/1674-1137/33/8/008

Density-dependent potential for multi-neutron halo nuclei

  • We apply a simple density-dependent potential model to the three-body calculation of the ground-state structure of drip-line nuclei with a weakly bound core. The hyperspherical harmonics method is used to solve the Faddeev equations. There are no undetermined potential parameters in this calculation. We find that for the halo nuclei with a weakly-bound core, the calculated properties of the ground-state structure are in better agreement with experimental data than the results calculated from the standard Woods-Saxon and Gauss type potentials. We also successfully reproduce the experimental cross sections by using the density calculated from this method. This may be explained by the fact that the simple Fermi or Gaussian function can not exactly describe the density distribution of the drip-line nuclei.

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CHEN Shuang, CHU Yan-Yun and REN Zhong-Zhou. Density-dependent potential for multi-neutron halo nuclei[J]. Chinese Physics C, 2009, 33(8): 639-644. doi: 10.1088/1674-1137/33/8/008
CHEN Shuang, CHU Yan-Yun and REN Zhong-Zhou. Density-dependent potential for multi-neutron halo nuclei[J]. Chinese Physics C, 2009, 33(8): 639-644.  doi: 10.1088/1674-1137/33/8/008 shu
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Received: 2008-12-02
Revised: 2009-02-18
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Density-dependent potential for multi-neutron halo nuclei

    Corresponding author: CHEN Shuang,
  • Received Date: 2008-12-02
  • Accepted Date: 2009-02-18
  • Available Online: 2009-08-05

Abstract: 

We apply a simple density-dependent potential model to the three-body calculation of the ground-state structure of drip-line nuclei with a weakly bound core. The hyperspherical harmonics method is used to solve the Faddeev equations. There are no undetermined potential parameters in this calculation. We find that for the halo nuclei with a weakly-bound core, the calculated properties of the ground-state structure are in better agreement with experimental data than the results calculated from the standard Woods-Saxon and Gauss type potentials. We also successfully reproduce the experimental cross sections by using the density calculated from this method. This may be explained by the fact that the simple Fermi or Gaussian function can not exactly describe the density distribution of the drip-line nuclei.

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