Full configuration interaction quantum Monte Carlo in nuclear structure calculations

摘要: The full configuration interaction quantum Monte Carlo (FCIQMC) method, originally developed in quantum chemistry, has also been successful in both molecular and condensed matter systems. Another natural extension of this methodology would be its application to nuclear structure calculations. We have developed the FCIQMC approach for studying nuclear systems. To validate the method, we applied FCIQMC to a small model space where standard shell model remain computationally feasible. Specifically, we performed calculations for Fe isotopes using pf-shell GXPF1A interaction and compared the results with those obtained from standard shell model calculations. To further demonstrate the capabilities of FCIQMC, we investigated its performance in systems exhibiting strong correlations, where conventional nuclear structure models are less effective. Using an artificially constructed strongly correlated system with a modified GXPF1A interaction, our calculations revealed that FCIQMC delivers superior results compared to many existing methods. Finally, we apply FCIQMC to Mg isotopes in the sdpf-shell model space, showing its potential to perform accurate calculations in large model spaces that are inaccessible to the shell model due to the limitations of current computational resources.