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High precision nuclear mass predictions towards a hundred kilo-electron-volt accuracy.

Zhongming Niu1, Haozhao Liang2, Baohua Sun3

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|January 20, 2023
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This study introduces a novel Fourier spectral analysis to pinpoint deficiencies in nuclear mass models. This method enhances nuclear mass predictions, aiming for kilo-electron-volt accuracy.

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Fourier analysisNuclear effective interactionsNuclear massesRadial basis function approach

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Area of Science:

  • Nuclear Physics
  • Astrophysics
  • Computational Physics

Background:

  • Nuclear mass is a fundamental property crucial for understanding stellar processes and element synthesis.
  • Developing accurate and predictive nuclear mass models across the entire nuclear chart remains a significant challenge.
  • Existing models often exhibit deviations from experimental data, necessitating improved predictive capabilities.

Purpose of the Study:

  • To develop a novel method for accurate nuclear mass predictions.
  • To analyze and identify the sources of deficiencies in current nuclear mass models.
  • To improve the accuracy of nuclear mass predictions towards the chaos-related limit.

Main Methods:

  • Fourier spectral analysis to map nuclear mass deviations into the frequency domain.
  • Quantification of model deficiencies by analyzing contributions in the frequency space.
  • Application of the radial basis function approach to isolate and quantify error sources.
  • Examination of correlations between nuclear effective interactions and mass deviation distributions.

Main Results:

  • The Fourier spectral analysis effectively identifies main contributions to nuclear mass model deficiencies.
  • The method allows for the isolation and quantification of sources of error in mass predictions.
  • Demonstrated correlation between nuclear effective interactions and mass deviation patterns in the frequency domain.
  • The proposed approach paves the way for achieving kilo-electron-volt accuracy in nuclear mass predictions.

Conclusions:

  • Fourier spectral analysis offers a new perspective for understanding and improving nuclear mass models.
  • This technique can pinpoint specific areas of weakness in theoretical nuclear models.
  • The findings suggest a pathway to significantly enhance the predictive power of nuclear mass models, approaching fundamental accuracy limits.