Nuclear physics uncertainties in light hypernuclei

The energy levels of light hypernuclei are experimentally accessible observables that contain valuable information about the interaction between hyperons and nucleons. In this work we study strangeness $S = -1$ systems $^{3,4}_\Lambda$H $^{4,5}_\Lambda$He using ab initio no-core shell model (NCSM) with realistic interactions obtained from chiral effective field theory ($\chi$EFT). particular, quantify finite precision theoretical predictions can be attributed to nuclear physics uncertainties. We both convergence solution many-body problem (method uncertainty) regulator- calibration data-dependence $\chi$EFT Hamiltonian (model uncertainty). For former, implement infrared correction formulas extrapolate finite-space NCSM results infinite space. then use Bayesian parameter estimation resulting method latter, employ a family 42 Hamiltonians measure standard deviation while keeping leading-order hyperon-nucleon fixed. Following procedure find uncertainties ground-state $\Lambda$ separation energies amount $\sim 20(100)$ keV in $^3_\Lambda$H($^4_\Lambda$H,He) 400$ $^5_\Lambda$He. Method comparable magnitude for $^4_\Lambda$H,He $1^+$ excited states $^5_\Lambda$He, which computed limited spaces, but otherwise much smaller. This knowledge expected is crucial binding infer elusive interaction.