Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations

Abstract

It has been a long-standing challenge to accurately predict the properties of light nuclei and nuclear matter simultaneously in nuclear $abinitio$ calculations. In this Letter, we develop the relativistic quantum Monte Carlo methods for the nuclear $abinitio$ problem, and calculate the ground-state energies of $A\le 4$ nuclei using the two-nucleon Bonn force with an unprecedented high accuracy. For $A=3,4$ nuclei, the present relativistic results significantly outperforms the nonrelativistic results with only two-nucleon forces. Combining the present results for light nuclei and the previous results for nuclear matter with the same Bonn force, a correlation between the properties of light $A\le 4$ nuclei and the nuclear saturation is revealed, and both systems are well described simultaneously, even without introducing three-nucleon forces. This provides a quantitative understanding of the connection between the light nuclei and nuclear matter saturation properties, which has been an outstanding problem in nuclear $abinitio$ calculations for decades.

arXiv comment7 pages, 4 figure. Comments and suggestions are welcome

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