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

TL;DR

This study uses the ab-initio no-core shell model with realistic NN interactions to accurately predict properties of boron isotopes, demonstrating the model's effectiveness and the importance of three-nucleon interactions.

Contribution

It provides comprehensive NCSM calculations for $^{10-14}$B isotopes with various realistic NN interactions, reaching large basis sizes and comparing with phenomenological models.

Findings

NCSM results agree with experimental data.

Reproduction of $^{10}$B ground state spin $3^{+}$ with INOY interaction.

Highlights the necessity of 3N interactions for accurate state predictions.

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.