Statistical errors in Weizsäcker-Skyrme mass model

  • The statistical uncertainties of 13 model parameters in the Weizsäcker-Skyrme (WS*) mass model are investigated for the first time with an efficient approach, and the propagated errors in the predicted masses are estimated. The discrepancies between the predicted masses and the experimental data, including the new data in AME2016, are almost all smaller than the model errors. For neutron-rich heavy nuclei, the model errors increase considerably, and go up to a few MeV when the nucleus approaches the neutron drip line. The most sensitive model parameter which causes the largest statistical error is analyzed for all bound nuclei. We find that the two coefficients of symmetry energy term significantly influence the mass predictions of extremely neutron-rich nuclei, and the deformation energy coefficients play a key role for well-deformed nuclei around the β-stability line.
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Min Liu, Yu Gao and Ning Wang. Statistical errors in Weizsäcker-Skyrme mass model[J]. Chinese Physics C, 2017, 41(11): 114101. doi: 10.1088/1674-1137/41/11/114101
Min Liu, Yu Gao and Ning Wang. Statistical errors in Weizsäcker-Skyrme mass model[J]. Chinese Physics C, 2017, 41(11): 114101.  doi: 10.1088/1674-1137/41/11/114101 shu
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Received: 2017-06-21
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    Supported by National Natural Science Foundation of China (11422548, 11365005, 11365004) and Guangxi Natural Science Foundation (2015GXNSFDA139004)

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Statistical errors in Weizsäcker-Skyrme mass model

    Corresponding author: Ning Wang,
  • 1. Department of Physics, Guangxi Normal University, Guilin 541004, China
  • 2. Guangxi Key Laboratory Breeding Base of Nuclear Physics and Technology, Guilin 541004, China
Fund Project:  Supported by National Natural Science Foundation of China (11422548, 11365005, 11365004) and Guangxi Natural Science Foundation (2015GXNSFDA139004)

Abstract: The statistical uncertainties of 13 model parameters in the Weizsäcker-Skyrme (WS*) mass model are investigated for the first time with an efficient approach, and the propagated errors in the predicted masses are estimated. The discrepancies between the predicted masses and the experimental data, including the new data in AME2016, are almost all smaller than the model errors. For neutron-rich heavy nuclei, the model errors increase considerably, and go up to a few MeV when the nucleus approaches the neutron drip line. The most sensitive model parameter which causes the largest statistical error is analyzed for all bound nuclei. We find that the two coefficients of symmetry energy term significantly influence the mass predictions of extremely neutron-rich nuclei, and the deformation energy coefficients play a key role for well-deformed nuclei around the β-stability line.

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