We report a comprehensive study of ${}^{10–14}\mathrm{B}$ isotopes within the ab initio no-core shell model (NCSM) using realistic nucleon-nucleon ($\mathit{NN}$) interactions. In particular, we have applied the inside nonlocal outside Yukawa (INOY) interaction to study energy spectra, electromagnetic properties, and point-proton radii of the boron isotopes. The NCSM results with the charge-dependent Bonn 2000 (CDB2K), the chiral next-to-next-to-next-to-leading order (${\mathrm{N}}^3\mathrm{LO}$), and optimized next-to-next-to-leading order (${\mathrm{N}}^2{\mathrm{LO}}_{opt}$) interactions are also reported. We have reached basis sizes up to $N_{\max }=10$ for ${}^{10}\mathrm{B}, N_{\max }=8$ for ${}^{11,12,13}\mathrm{B}$, and $N_{\max }=6$ for ${}^{14}\mathrm{B}$ with $m$-scheme dimensions up to $1.7\times {10}^9$. We also compare the NCSM calculations with the phenomenological YSOX interaction using the shell model to test the predictive power of the ab initio nuclear theory. Overall, our NCSM results are consistent with the available experimental data. The experimental ground state spin $3^{+}$ of ${}^{10}\mathrm{B}$ has been reproduced using the INOY $\mathit{NN}$ interaction. Typically, the $3N$ interaction is required to correctly reproduce the aforementioned state.

• Received 25 July 2020
• Accepted 21 September 2020

DOI:https://doi.org/10.1103/PhysRevC.102.044309