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Background: The accumulation of experimental data on hypernuclei has enabled testing the interactions derived from first-principles lattice QCD simulations through many-body calculations. Purpose: Based on the interactions derived from lattice QCD simulations, we calculate the spectrum of the ^14N+^- states in _^15C as well as that of the ^12C+^- states in _^13B and compare with observed data from emulsion experiments. In addition, we predict the spectrum of _^12Be (^11B+^-) using the same interaction. Methods: Through the G-matrix calculations, we derive low-energy effective interactions from lattice QCD potentials, where we introduce odd-parity potentials based on the meson-exchange picture because they have not been obtained from lattice QCD simulations. Employing these interactions, we carry out molecular dynamics model calculations to obtain the spectra of _^13B, _^15C, and _^12Be. Results: The s-wave states of ^- in _^15C are bound in the range of 5 to 10 MeV, while the p-wave states are in the range of 0 to 2 MeV. The same Hamiltonian predicts the bound s-wave states of _^12Be in the range of 3 to 5 MeV. The obtained spectra show small spin-spin splitting and conversion widths. Conclusions: The results for _^13B and _^15C are consistent with many of the experimental data, highlighting the capabilities of lattice QCD simulations. The binding of _^12Be is deep enough to be observed by spectroscopy experiments. The difference between the lattice QCD and the meson-exchange models lies in the spin-spin splitting and conversion widths, underlining the importance of observations.
Isaka et al. (Fri,) studied this question.