Alpha-Particle Monopole Form Factors with Ab Initio No-Core Shell Model

Summary

The alpha-particle monopole form factors are calculated using the ab initio no-core shell model (NCSM) with the Daejeon16 nucleon-nucleon interaction. The results show good convergence with respect to the basis size and are in agreement with the effective interaction hyperspherical harmonic calculations.

Highlights

• The alpha-particle monopole form factors are calculated using the NCSM with the Daejeon16 interaction.
• The results show good convergence with respect to the basis size.
• The NCSM results are in agreement with the effective interaction hyperspherical harmonic calculations.
• The monopole form factors are sensitive to the choice of interaction and the treatment of the continuum.
• The NCSM calculations are performed with different oscillator frequencies and basis sizes.
• The results are compared to experimental data and other theoretical calculations.
• The NCSM is a useful tool for studying the properties of light nuclei.

Key Insights

• The NCSM is a powerful tool for calculating the properties of light nuclei, including the alpha-particle monopole form factors. The results show good convergence with respect to the basis size, indicating that the method is reliable.
• The choice of interaction is crucial in calculating the monopole form factors. The Daejeon16 interaction used in this study provides a good description of the data, but other interactions may give different results.
• The treatment of the continuum is also important in calculating the monopole form factors. The NCSM calculations are performed with a discretized continuum, which may affect the results.
• The comparison to experimental data and other theoretical calculations shows that the NCSM results are in agreement with the effective interaction hyperspherical harmonic calculations, but differ from some other calculations.
• The NCSM calculations are sensitive to the choice of oscillator frequency and basis size, which can affect the convergence of the results.
• The alpha-particle monopole form factors are an important observable for studying the properties of light nuclei and the nuclear force.
• The results of this study demonstrate the importance of using a reliable and accurate method, such as the NCSM, to calculate the properties of light nuclei.

Mindmap

Citation

Yin, P., Shirokov, A. M., Li, H., Zhou, B., Zhao, X., Bacca, S., & Vary, J. P. (2024). Alpha-Particle Monopole Form Factors with Ab Initio No-Core Shell Model (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.18037