Ab-initio no-core shell model study of ${}^{10-14}$B isotopes with realistic NN interactions

Abstract

We report a comprehensive study of ${}^{10-14}$B isotopes within the \textit{ab-initio} no-core shell model (NCSM) using realistic nucleon-nucleon (\textit{NN}) interactions. In particular, we have applied the inside non-local 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 (N${}^3$LO) and optimized next-to-next-to-leading order (N${}^2$LO${}_{opt}$) interactions are also reported. We have reached basis sizes up to $N_{\mbox{max}}$ = 10 for ${}^{10}$B, $N_{\mbox{max}}$ = 8 for ${}^{11,12,13}$B and $N_{\mbox{max}}$ = 6 for ${}^{14}$B with m-scheme dimensions up to 1.7 billion. We also compare the NCSM calculations with the phenomenological YSOX interaction using the shell model to test the predictive power of the \textit{ab-initio} nuclear theory. Overall, our NCSM results are consistent with the available experimental data. The experimental ground state spin $3^{+}$ of ${}^{10}$B has been reproduced using the INOY \textit{NN} interaction. Typically, the 3\textit{N} interaction is required to correctly reproduce the aforementioned state.

arXiv comment16 pages, 9 figures, accepted in Phys. Rev. C

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